173:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico y variacional:@0.602459:0.043660:0.925654:0.043660:0.925654:0.024915:0.602459:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajen :@0.523925:0.813221:0.587271:0.813221:0.587271:0.798067:0.523925:0.798067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en parejas y :@0.587175:0.813221:0.668932:0.813221:0.668932:0.798937:0.587175:0.798937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resuelvan:@0.668787:0.813221:0.735448:0.813221:0.735448:0.798067:0.668787:0.798067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.735354:0.813221:0.738266:0.813221:0.738266:0.798937:0.735354:0.798937:0.000000 Formulen:@0.523921:0.828350:0.590599:0.828350:0.590599:0.813196:0.523921:0.813196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las expresiones algebraicas de tres rectas que :@0.590506:0.828350:0.895504:0.828350:0.895504:0.814066:0.590506:0.814066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sean paralelas. :@0.523921:0.843479:0.622310:0.843479:0.622310:0.829195:0.523921:0.829195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Comprueben:@0.622149:0.843479:0.713998:0.843479:0.713998:0.828325:0.622149:0.828325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si cumplen la condición con :@0.713901:0.843479:0.906993:0.843479:0.906993:0.829195:0.713901:0.829195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la gráfica.:@0.523938:0.858608:0.585428:0.858608:0.585428:0.844323:0.523938:0.844323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Investiga:@0.523555:0.913604:0.584762:0.913604:0.584762:0.898753:0.523555:0.898753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cómo calcular la pendiente de una recta si se :@0.584675:0.913604:0.882369:0.913604:0.882369:0.899605:0.584675:0.899605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conocen dos puntos. :@0.523571:0.928727:0.663391:0.928727:0.663391:0.914728:0.523571:0.914728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplifica expón:@0.663325:0.928727:0.794565:0.928727:0.794565:0.913876:0.663325:0.913876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.737450:0.928727:0.751717:0.928727:0.751717:0.914728:0.737450:0.914728:0.000000:0.000000:0.000000 en clase.:@0.794486:0.928727:0.852811:0.928727:0.852811:0.914728:0.794486:0.914728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajo colaborativo:@0.530451:0.795181:0.685911:0.795181:0.685911:0.778511:0.530451:0.778511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad indagatoria:@0.526505:0.894966:0.689866:0.894966:0.689866:0.878297:0.526505:0.878297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.073089:0.136657:0.090097:0.136657:0.090097:0.119988:0.073089:0.119988:0.000000:0.000000:0.000000 Grafica:@0.103288:0.136657:0.160880:0.136657:0.160880:0.119710:0.103288:0.119710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno las siguientes funciones :@0.161142:0.136657:0.489674:0.136657:0.489674:0.119988:0.161142:0.119988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.103214:0.153299:0.115713:0.153299:0.115713:0.136629:0.103214:0.136629:0.000000:0.000000 completa:@0.115639:0.153299:0.190021:0.153299:0.190021:0.136352:0.115639:0.136352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo requerido.:@0.189931:0.153299:0.290256:0.153299:0.290256:0.136629:0.189931:0.136629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.184212:0.123279:0.184212:0.123279:0.167543:0.104633:0.167543:0.000000:0.000000:0.000000 f x:@0.133727:0.184212:0.152816:0.184212:0.152816:0.167806:0.133727:0.167806:0.000000:0.000000:0.000000 ( ):@0.139452:0.184212:0.158724:0.184212:0.158724:0.168500:0.139452:0.168500:0.000000:0.000000:0.000000 =–:@0.159755:0.184795:0.185304:0.184795:0.185304:0.167141:0.159755:0.167141:0.000000:0.000000 7 :@0.186317:0.184212:0.213910:0.184212:0.213910:0.168500:0.186317:0.168500:0.000000:0.000000:0.000000:0.000000 x:@0.196330:0.184212:0.203785:0.184212:0.203785:0.167806:0.196330:0.167806:0.000000 :@0.253815:0.184212:0.257846:0.184212:0.257846:0.168500:0.253815:0.168500:0.000000 Tipo de función: = = :@0.134757:0.206901:0.455706:0.206901:0.455706:0.191188:0.134757:0.191188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.331126:0.206901:0.345741:0.206901:0.345741:0.190495:0.331126:0.190495:0.000000 b:@0.400006:0.206901:0.409264:0.206901:0.409264:0.190495:0.400006:0.190495:0.000000 :@0.432181:0.206901:0.443612:0.206901:0.443612:0.189954:0.432181:0.189954:0.000000:0.000000:0.000000 b. :@0.104633:0.237819:0.124439:0.237819:0.124439:0.221150:0.104633:0.221150:0.000000:0.000000:0.000000 f x:@0.133727:0.237819:0.152816:0.237819:0.152816:0.221413:0.133727:0.221413:0.000000:0.000000:0.000000 ( ):@0.139452:0.237819:0.158724:0.237819:0.158724:0.222107:0.139452:0.222107:0.000000:0.000000:0.000000 = :@0.159755:0.238402:0.180703:0.238402:0.180703:0.220748:0.159755:0.220748:0.000000:0.000000 4:@0.180703:0.237819:0.189685:0.237819:0.189685:0.222107:0.180703:0.222107:0.000000 x:@0.191729:0.237819:0.199184:0.237819:0.199184:0.221413:0.191729:0.221413:0.000000 –:@0.200214:0.238402:0.209418:0.238402:0.209418:0.220748:0.200214:0.220748:0.000000 5 :@0.210431:0.237819:0.229538:0.237819:0.229538:0.222107:0.210431:0.222107:0.000000:0.000000:0.000000 :@0.253815:0.237819:0.257846:0.237819:0.257846:0.222107:0.253815:0.222107:0.000000 Tipo de función: = = :@0.134757:0.260508:0.455706:0.260508:0.455706:0.244795:0.134757:0.244795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.331126:0.260508:0.345741:0.260508:0.345741:0.244102:0.331126:0.244102:0.000000 b:@0.400006:0.260508:0.409264:0.260508:0.409264:0.244102:0.400006:0.244102:0.000000 :@0.432181:0.260508:0.443612:0.260508:0.443612:0.243561:0.432181:0.243561:0.000000:0.000000:0.000000 c. :@0.104633:0.291425:0.122469:0.291425:0.122469:0.274755:0.104633:0.274755:0.000000:0.000000:0.000000 f x:@0.133727:0.291425:0.152816:0.291425:0.152816:0.275019:0.133727:0.275019:0.000000:0.000000:0.000000 ( ):@0.139452:0.291425:0.158724:0.291425:0.158724:0.275712:0.139452:0.275712:0.000000:0.000000:0.000000 =– +:@0.159755:0.292007:0.210136:0.292007:0.210136:0.274353:0.159755:0.274353:0.000000:0.000000:0.000000:0.000000 x:@0.186317:0.291425:0.193772:0.291425:0.193772:0.275019:0.186317:0.275019:0.000000 8 :@0.211157:0.291425:0.230264:0.291425:0.230264:0.275712:0.211157:0.275712:0.000000:0.000000:0.000000 :@0.253815:0.291425:0.257846:0.291425:0.257846:0.275712:0.253815:0.275712:0.000000 Tipo de función: = = :@0.134757:0.314113:0.455706:0.314113:0.455706:0.298401:0.134757:0.298401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.331126:0.314113:0.345741:0.314113:0.345741:0.297707:0.331126:0.297707:0.000000 b:@0.400006:0.314113:0.409264:0.314113:0.409264:0.297707:0.400006:0.297707:0.000000 :@0.432181:0.314113:0.443612:0.314113:0.443612:0.297166:0.432181:0.297166:0.000000:0.000000:0.000000 d. :@0.104633:0.345032:0.124605:0.345032:0.124605:0.328362:0.104633:0.328362:0.000000:0.000000:0.000000 f x:@0.133727:0.345032:0.152816:0.345032:0.152816:0.328626:0.133727:0.328626:0.000000:0.000000:0.000000 ( ):@0.139452:0.345032:0.158724:0.345032:0.158724:0.329319:0.139452:0.329319:0.000000:0.000000:0.000000 =:@0.159755:0.345614:0.175088:0.345614:0.175088:0.327960:0.159755:0.327960:0.000000 x:@0.177584:0.336064:0.184361:0.336064:0.184361:0.321150:0.177584:0.321150:0.000000 4:@0.176881:0.352466:0.185047:0.352466:0.185047:0.338182:0.176881:0.338182:0.000000 :@0.186858:0.345032:0.197604:0.345032:0.197604:0.329319:0.186858:0.329319:0.000000:0.000000:0.000000 Tipo de función: = = :@0.134762:0.367720:0.455711:0.367720:0.455711:0.352008:0.134762:0.352008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.331131:0.367720:0.345746:0.367720:0.345746:0.351314:0.331131:0.351314:0.000000 b:@0.400011:0.367720:0.409269:0.367720:0.409269:0.351314:0.400011:0.351314:0.000000 :@0.432186:0.367720:0.443617:0.367720:0.443617:0.350773:0.432186:0.350773:0.000000:0.000000:0.000000 4. Deduce la expresión algebraica de las funciones a :@0.073089:0.392587:0.489904:0.392587:0.489904:0.375918:0.073089:0.375918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 partir de su gráfica.:@0.103214:0.409229:0.248289:0.409229:0.248289:0.392559:0.103214:0.392559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.434090:0.121070:0.434090:0.121070:0.417420:0.104633:0.417420:0.000000:0.000000:0.000000 :@0.134832:0.434090:0.138863:0.434090:0.138863:0.418377:0.134832:0.418377:0.000000 b. :@0.104633:0.561518:0.122230:0.561518:0.122230:0.544849:0.104633:0.544849:0.000000:0.000000:0.000000 :@0.134832:0.561518:0.138863:0.561518:0.138863:0.545806:0.134832:0.545806:0.000000 5. El costo de producción de un tamal es de $0,50 y se :@0.073089:0.706817:0.489630:0.706817:0.489630:0.690147:0.073089:0.690147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vende a $0,75. Construye la función que describe el :@0.103214:0.723458:0.489809:0.723458:0.489809:0.706789:0.103214:0.706789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 beneficio que se obtiene por la venta de tamales.:@0.103214:0.740100:0.474308:0.740100:0.474308:0.723431:0.103214:0.723431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.798400:0.121070:0.798400:0.121070:0.781730:0.104633:0.781730:0.000000:0.000000:0.000000 ¿Cuánto ganarías vendiendo 200 tamales diarios?:@0.134832:0.798400:0.485929:0.798400:0.485929:0.782687:0.134832:0.782687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Grafica:@0.104633:0.847206:0.187876:0.847206:0.187876:0.830536:0.104633:0.830536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función beneficio construida.:@0.187772:0.847206:0.419427:0.847206:0.419427:0.831493:0.187772:0.831493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. El gráfico muestra los beneficios que obtiene un :@0.073089:0.872067:0.489939:0.872067:0.489939:0.855398:0.073089:0.855398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 banco a través de dos tipos de hipotecas con :@0.103214:0.888709:0.489455:0.888709:0.489455:0.872040:0.103214:0.872040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 intereses diferentes, en función de su duración en :@0.103214:0.905351:0.489875:0.905351:0.489875:0.888682:0.103214:0.888682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 años variable .:@0.103214:0.921993:0.228843:0.921993:0.228843:0.905323:0.103214:0.905323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.143213:0.921993:0.148091:0.921993:0.148091:0.906280:0.143213:0.906280:0.000000 x:@0.212185:0.921993:0.220303:0.921993:0.220303:0.905309:0.212185:0.905309:0.000000 ):@0.220229:0.921993:0.225107:0.921993:0.225107:0.906280:0.220229:0.906280:0.000000 1:@0.195324:0.524590:0.200653:0.524590:0.200653:0.515737:0.195324:0.515737:0.000000 1:@0.172031:0.506133:0.177360:0.506133:0.177360:0.497280:0.172031:0.497280:0.000000 0:@0.172031:0.524590:0.177360:0.524590:0.177360:0.515737:0.172031:0.515737:0.000000 -1:@0.154878:0.524590:0.163397:0.524590:0.163397:0.515737:0.154878:0.515737:0.000000:0.000000 -2:@0.137193:0.524590:0.145713:0.524590:0.145713:0.515737:0.137193:0.515737:0.000000:0.000000 2:@0.214174:0.524590:0.219504:0.524590:0.219504:0.515737:0.214174:0.515737:0.000000 2:@0.172024:0.492255:0.177354:0.492255:0.177354:0.483402:0.172024:0.483402:0.000000 3:@0.233769:0.524590:0.239098:0.524590:0.239098:0.515737:0.233769:0.515737:0.000000 3:@0.172024:0.478024:0.177354:0.478024:0.177354:0.469172:0.172024:0.469172:0.000000 4:@0.252303:0.524590:0.257633:0.524590:0.257633:0.515737:0.252303:0.515737:0.000000 4:@0.172024:0.462729:0.177354:0.462729:0.177354:0.453877:0.172024:0.453877:0.000000 5:@0.271586:0.524590:0.276916:0.524590:0.276916:0.515737:0.271586:0.515737:0.000000 5:@0.172024:0.448757:0.177354:0.448757:0.177354:0.439905:0.172024:0.439905:0.000000 6:@0.172024:0.434081:0.177354:0.434081:0.177354:0.425228:0.172024:0.425228:0.000000 2:@0.227006:0.644719:0.232585:0.644719:0.232585:0.635453:0.227006:0.635453:0.000000 2:@0.196729:0.619786:0.202308:0.619786:0.202308:0.610519:0.196729:0.610519:0.000000 0:@0.196729:0.644719:0.202308:0.644719:0.202308:0.635453:0.196729:0.635453:0.000000 -2:@0.173684:0.644719:0.182602:0.644719:0.182602:0.635453:0.173684:0.635453:0.000000:0.000000 -2:@0.193477:0.660492:0.202395:0.660492:0.202395:0.651225:0.193477:0.651225:0.000000:0.000000 -4:@0.147551:0.644719:0.156468:0.644719:0.156468:0.635453:0.147551:0.635453:0.000000:0.000000 4:@0.252987:0.644719:0.258566:0.644719:0.258566:0.635453:0.252987:0.635453:0.000000 4:@0.196490:0.600015:0.202069:0.600015:0.202069:0.590748:0.196490:0.590748:0.000000 6:@0.278805:0.644719:0.284384:0.644719:0.284384:0.635453:0.278805:0.635453:0.000000 6:@0.196664:0.579712:0.202243:0.579712:0.202243:0.570445:0.196664:0.570445:0.000000 8:@0.196729:0.559588:0.202308:0.559588:0.202308:0.550321:0.196729:0.550321:0.000000 a. :@0.545774:0.320515:0.562212:0.320515:0.562212:0.303846:0.545774:0.303846:0.000000:0.000000:0.000000 ¿Qué hipoteca selecciona el banquero si un :@0.575974:0.320515:0.930984:0.320515:0.930984:0.304803:0.575974:0.304803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cliente la desea por menos de 3 años?:@0.575900:0.337157:0.851799:0.337157:0.851799:0.321445:0.575900:0.321445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.545774:0.368095:0.563372:0.368095:0.563372:0.351425:0.545774:0.351425:0.000000:0.000000:0.000000 ¿Cuál escoge si solicita una hipoteca con :@0.575974:0.368095:0.930939:0.368095:0.930939:0.352382:0.575974:0.352382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 años de duración?:@0.575900:0.384737:0.721778:0.384737:0.721778:0.369024:0.575900:0.369024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7. Halla la expresión algebraica de las funciones :@0.514231:0.418151:0.930955:0.418151:0.930955:0.401482:0.514231:0.401482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lineales o afines de acuerdo con las condiciones :@0.544355:0.434793:0.930624:0.434793:0.930624:0.418124:0.544355:0.418124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indicadas.:@0.544355:0.451435:0.620169:0.451435:0.620169:0.434765:0.544355:0.434765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.476650:0.562212:0.476650:0.562212:0.459980:0.545774:0.459980:0.000000:0.000000:0.000000 Pasa por los puntos (–1, –5) y (2, 1). :@0.575974:0.476650:0.858855:0.476650:0.858855:0.460937:0.575974:0.460937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.720728:0.476650:0.729490:0.476650:0.729490:0.460244:0.720728:0.460244:0.000000 1:@0.729432:0.479822:0.734669:0.479822:0.734669:0.470662:0.729432:0.470662:0.000000 P:@0.803280:0.476650:0.812042:0.476650:0.812042:0.460244:0.803280:0.460244:0.000000 2:@0.811955:0.479822:0.817192:0.479822:0.817192:0.470662:0.811955:0.470662:0.000000 b. :@0.545774:0.510085:0.563372:0.510085:0.563372:0.493415:0.545774:0.493415:0.000000:0.000000:0.000000 Pasa por el origen y el punto (–3, 1). :@0.575974:0.510085:0.845898:0.510085:0.845898:0.494372:0.575974:0.494372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.786369:0.510085:0.795131:0.510085:0.795131:0.493679:0.786369:0.493679:0.000000 8. Determina, sin hacer la gráfica, si los puntos :@0.514231:0.542491:0.930815:0.542491:0.930815:0.525821:0.514231:0.525821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.544355:0.559133:0.553688:0.559133:0.553688:0.542449:0.544355:0.542449:0.000000 1:@0.554821:0.562305:0.560326:0.562305:0.560326:0.552587:0.554821:0.552587:0.000000 (:@0.560990:0.559133:0.565868:0.559133:0.565868:0.543420:0.560990:0.543420:0.000000 –:@0.567010:0.559715:0.576213:0.559715:0.576213:0.542061:0.567010:0.542061:0.000000 2, 10 , :@0.577354:0.559133:0.634546:0.559133:0.634546:0.542463:0.577354:0.542463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.619673:0.559133:0.624551:0.559133:0.624551:0.543420:0.619673:0.543420:0.000000 P:@0.636258:0.559133:0.645590:0.559133:0.645590:0.542449:0.636258:0.542449:0.000000 2:@0.646741:0.562305:0.652247:0.562305:0.652247:0.552587:0.646741:0.552587:0.000000 (:@0.652911:0.559133:0.657789:0.559133:0.657789:0.543420:0.652911:0.543420:0.000000 2, 2 , :@0.658930:0.559133:0.705537:0.559133:0.705537:0.542463:0.658930:0.542463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.690664:0.559133:0.695542:0.559133:0.695542:0.543420:0.690664:0.543420:0.000000 P:@0.707249:0.559133:0.716582:0.559133:0.716582:0.542449:0.707249:0.542449:0.000000 3:@0.717726:0.562305:0.723232:0.562305:0.723232:0.552587:0.717726:0.552587:0.000000 (:@0.723898:0.559133:0.728776:0.559133:0.728776:0.543420:0.723898:0.543420:0.000000 1, –4 , :@0.729917:0.559133:0.786869:0.559133:0.786869:0.542463:0.729917:0.542463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.771996:0.559133:0.776874:0.559133:0.776874:0.543420:0.771996:0.543420:0.000000 P:@0.788581:0.559133:0.797913:0.559133:0.797913:0.542449:0.788581:0.542449:0.000000 4:@0.799058:0.562305:0.804563:0.562305:0.804563:0.552587:0.799058:0.552587:0.000000 (:@0.805228:0.559133:0.810106:0.559133:0.810106:0.543420:0.805228:0.543420:0.000000 0, 6 son parte :@0.811247:0.559133:0.930802:0.559133:0.930802:0.542463:0.811247:0.542463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.842981:0.559133:0.847859:0.559133:0.847859:0.543420:0.842981:0.543420:0.000000 de la recta que corresponde a la función :@0.544342:0.575775:0.930802:0.575775:0.930802:0.559105:0.544342:0.559105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.544342:0.592417:0.564608:0.592417:0.564608:0.575733:0.544342:0.575733:0.000000:0.000000:0.000000 ( ):@0.550582:0.592417:0.570517:0.592417:0.570517:0.576704:0.550582:0.576704:0.000000:0.000000:0.000000 =–:@0.571548:0.592999:0.597097:0.592999:0.597097:0.575345:0.571548:0.575345:0.000000:0.000000 2:@0.598109:0.592417:0.607552:0.592417:0.607552:0.575747:0.598109:0.575747:0.000000 x:@0.608583:0.592417:0.616701:0.592417:0.616701:0.575733:0.608583:0.575733:0.000000 +:@0.617732:0.592999:0.633065:0.592999:0.633065:0.575345:0.617732:0.575345:0.000000 6.:@0.634077:0.592417:0.648361:0.592417:0.648361:0.575747:0.634077:0.575747:0.000000:0.000000 9. Señala, sin hacer las gráficas, qué grupo de rectas :@0.514231:0.617850:0.930933:0.617850:0.930933:0.601180:0.514231:0.601180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son paralelas.:@0.544355:0.634491:0.646727:0.634491:0.646727:0.617822:0.544355:0.617822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.657185:0.564421:0.657185:0.564421:0.640515:0.545774:0.640515:0.000000:0.000000:0.000000 f x:@0.574869:0.657185:0.593958:0.657185:0.593958:0.640779:0.574869:0.640779:0.000000:0.000000:0.000000 ( ):@0.580594:0.657185:0.599866:0.657185:0.599866:0.641472:0.580594:0.641472:0.000000:0.000000:0.000000 =–:@0.600897:0.657767:0.626447:0.657767:0.626447:0.640113:0.600897:0.640113:0.000000:0.000000 5:@0.627459:0.657185:0.636442:0.657185:0.636442:0.641472:0.627459:0.641472:0.000000 x :@0.637472:0.657185:0.648241:0.657185:0.648241:0.640779:0.637472:0.640779:0.000000:0.000000 g x:@0.575900:0.679873:0.599554:0.679873:0.599554:0.663467:0.575900:0.663467:0.000000:0.000000:0.000000 ( ) 5:@0.586190:0.679873:0.631821:0.679873:0.631821:0.664160:0.586190:0.664160:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.606493:0.680456:0.621826:0.680456:0.621826:0.662801:0.606493:0.662801:0.000000 x:@0.632852:0.679873:0.640307:0.679873:0.640307:0.663467:0.632852:0.663467:0.000000 +:@0.641338:0.680456:0.656671:0.680456:0.656671:0.662801:0.641338:0.662801:0.000000 3 :@0.657684:0.679873:0.670698:0.679873:0.670698:0.664160:0.657684:0.664160:0.000000:0.000000 h x:@0.575900:0.702562:0.599793:0.702562:0.599793:0.686155:0.575900:0.686155:0.000000:0.000000:0.000000 ( ):@0.586429:0.702562:0.605702:0.702562:0.605702:0.686849:0.586429:0.686849:0.000000:0.000000:0.000000 =–:@0.606732:0.703144:0.632282:0.703144:0.632282:0.685490:0.606732:0.685490:0.000000:0.000000 5:@0.633294:0.702562:0.642277:0.702562:0.642277:0.686849:0.633294:0.686849:0.000000 x:@0.643308:0.702562:0.650763:0.702562:0.650763:0.686155:0.643308:0.686155:0.000000 +:@0.651793:0.703144:0.667127:0.703144:0.667127:0.685490:0.651793:0.685490:0.000000 4:@0.668139:0.702562:0.677122:0.702562:0.677122:0.686849:0.668139:0.686849:0.000000 b. :@0.545774:0.725265:0.565580:0.725265:0.565580:0.708595:0.545774:0.708595:0.000000:0.000000:0.000000 f x:@0.574869:0.725265:0.593958:0.725265:0.593958:0.708859:0.574869:0.708859:0.000000:0.000000:0.000000 ( ) 2:@0.580594:0.725265:0.626226:0.725265:0.626226:0.709552:0.580594:0.709552:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.600897:0.725847:0.616231:0.725847:0.616231:0.708193:0.600897:0.708193:0.000000 x:@0.627256:0.725265:0.634711:0.725265:0.634711:0.708859:0.627256:0.708859:0.000000 –:@0.635742:0.725847:0.644946:0.725847:0.644946:0.708193:0.635742:0.708193:0.000000 3:@0.645958:0.725265:0.654941:0.725265:0.654941:0.709552:0.645958:0.709552:0.000000 g x:@0.575900:0.747953:0.599554:0.747953:0.599554:0.731547:0.575900:0.731547:0.000000:0.000000:0.000000 ( ) 2:@0.586190:0.747953:0.631821:0.747953:0.631821:0.732241:0.586190:0.732241:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.606493:0.748536:0.621826:0.748536:0.621826:0.730882:0.606493:0.730882:0.000000 x:@0.632852:0.747953:0.640307:0.747953:0.640307:0.731547:0.632852:0.731547:0.000000 h x:@0.575900:0.770642:0.599793:0.770642:0.599793:0.754236:0.575900:0.754236:0.000000:0.000000:0.000000 ( ):@0.586429:0.770642:0.605702:0.770642:0.605702:0.754929:0.586429:0.754929:0.000000:0.000000:0.000000 =– +:@0.606732:0.771224:0.658641:0.771224:0.658641:0.753570:0.606732:0.753570:0.000000:0.000000:0.000000:0.000000 6 2:@0.633294:0.770642:0.668636:0.770642:0.668636:0.754929:0.633294:0.754929:0.000000:0.000000:0.000000 x:@0.669667:0.770642:0.677122:0.770642:0.677122:0.754236:0.669667:0.754236:0.000000 0:@0.571318:0.285821:0.577851:0.285821:0.577851:0.274394:0.571318:0.274394:0.000000 1:@0.572738:0.260747:0.579270:0.260747:0.579270:0.249320:0.572738:0.249320:0.000000 1:@0.605938:0.285821:0.612470:0.285821:0.612470:0.274394:0.605938:0.274394:0.000000 5:@0.712137:0.285821:0.718670:0.285821:0.718670:0.274394:0.712137:0.274394:0.000000 3:@0.659513:0.285821:0.666046:0.285821:0.666046:0.274394:0.659513:0.274394:0.000000 7:@0.767386:0.285821:0.773919:0.285821:0.773919:0.274394:0.767386:0.274394:0.000000 9:@0.820814:0.285821:0.827347:0.285821:0.827347:0.274394:0.820814:0.274394:0.000000 2:@0.632725:0.285821:0.639258:0.285821:0.639258:0.274394:0.632725:0.274394:0.000000 6:@0.740598:0.285821:0.747131:0.285821:0.747131:0.274394:0.740598:0.274394:0.000000 4:@0.686300:0.285821:0.692833:0.285821:0.692833:0.274394:0.686300:0.274394:0.000000 8:@0.794173:0.285821:0.800706:0.285821:0.800706:0.274394:0.794173:0.274394:0.000000 10:@0.845647:0.285821:0.858713:0.285821:0.858713:0.274394:0.845647:0.274394:0.000000:0.000000 (3, 33; 2, 33):@0.631641:0.218084:0.693717:0.218084:0.693717:0.206656:0.631641:0.206656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.572738:0.219294:0.579270:0.219294:0.579270:0.207867:0.572738:0.207867:0.000000 6:@0.572738:0.156751:0.579270:0.156751:0.579270:0.145324:0.572738:0.145324:0.000000 y:@0.593079:0.152689:0.597835:0.152689:0.597835:0.142249:0.593079:0.142249:0.000000 f:@0.839343:0.171103:0.842757:0.171103:0.842757:0.159172:0.839343:0.159172:0.000000 g:@0.837683:0.233283:0.844417:0.233283:0.844417:0.221352:0.837683:0.221352:0.000000 x:@0.856940:0.270832:0.861685:0.270832:0.861685:0.260392:0.856940:0.260392:0.000000 2:@0.572743:0.240077:0.579275:0.240077:0.579275:0.228650:0.572743:0.228650:0.000000 5:@0.572743:0.177534:0.579275:0.177534:0.579275:0.166107:0.572743:0.166107:0.000000 4:@0.572743:0.198624:0.579275:0.198624:0.579275:0.187197:0.572743:0.187197:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000