document.write( "Question 651645: the value v(t) insents of a share is give by v(t) = 2t^2-16t+40 where t represents the number of weeks since the shares purchase\r
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document.write( "a) after how many weeks is the share worth 58 cents?
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document.write( "b)can the share reach a value of 6 cents? justify your answerr
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Algebra.Com's Answer #407751 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! the value v(t) insents of a share is give by v(t) = 2t^2-16t+40 where t represents the number of weeks since the shares purchase\r \n" ); document.write( "\n" ); document.write( "a) after how many weeks is the share worth 58 cents? \n" ); document.write( "set v(t) to 58 and solve for t: \n" ); document.write( "v(t) = 2t^2-16t+40 \n" ); document.write( "58 = 2t^2-16t+40 \n" ); document.write( "dividing both sides by 2: \n" ); document.write( "29 = t^2-8t+20 \n" ); document.write( "0 = t^2-8t-9 \n" ); document.write( "factoring: \n" ); document.write( "0 = (t+1)(t-9) \n" ); document.write( "t = {-1, 9} \n" ); document.write( "toss out the negative solution leaving: \n" ); document.write( "t = 9 weeks \n" ); document.write( ". \n" ); document.write( "b)can the share reach a value of 6 cents? justify your answerr \n" ); document.write( "answer: NO \n" ); document.write( "set v(t) to 6 and solve for t: \n" ); document.write( "v(t) = 2t^2-16t+40 \n" ); document.write( "6 = 2t^2-16t+40 \n" ); document.write( "3 = t^2-8t+20 \n" ); document.write( "0 = t^2-8t+17 \n" ); document.write( "calculate discriminate: \n" ); document.write( "b^2 -4ac \n" ); document.write( "64 - 4(1)(17) \n" ); document.write( "64 - 68 \n" ); document.write( "-4 \n" ); document.write( "since the discriminate is negative there is NO real solutions \n" ); document.write( " \n" ); document.write( " |