document.write( "Question 682133: Hello,\r
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document.write( "I wanted to see if I was doing this problem correctly.\r
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document.write( "I started the answer with -16t^2+16t+410=90, then subtracted 90 to get -16t^2+16t+320=0 and then perform the quadratic equation to get the answer. Is this the right start?\r
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document.write( "The function h(t) = -16^2+16t+410 gives the height h, in feet, of a coin tossed upward from a balcony 410 ft high with an initial velocity of 16 ft/sec. During what interval of time will the coin be at a height of at least 90 ft? \r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #423051 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! I started the answer with -16t^2+16t+410=90, then subtracted 90 to get -16t^2+16t+320=0 and then perform the quadratic equation to get the answer. Is this the right start? \n" ); document.write( "Yes, applying the \"quadratic equation\" is one approach. \n" ); document.write( "But, you could have \"factored\" it (an easier approach): \n" ); document.write( "-16t^2+16t+320=0 \n" ); document.write( "dividing both sides by -16: \n" ); document.write( "t^2-t-20=0 \n" ); document.write( "factoring: \n" ); document.write( "(t+4)(t-5) = 0 \n" ); document.write( "t = {-4, 5} \n" ); document.write( "throw away the negative solution (extraneous) leaving: \n" ); document.write( "t = 5 seconds \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |