document.write( "Question 889167: Given the following equations:
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document.write( "y = 8t2 – 6t – 11
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document.write( "and
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document.write( "x = 2t – 7
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document.write( "find y as a function of x and then give the value for f(8).
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document.write( "That is, solve for y in terms of x and replace y with the \"f(x)\" notation. \n" );
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Algebra.Com's Answer #537966 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! solve second equation for t \n" ); document.write( "2t = x+7 \n" ); document.write( "t = (x+7) / 2 \n" ); document.write( "substitute for t in first equation \n" ); document.write( "y = 8((x+7)/2)^2) -6((x+7) / 2) - 11 \n" ); document.write( "y = 8(x^2+14x+49)/4 -3(x+7) -11 \n" ); document.write( "y = 2x^2 +28x+98 -3x -21 -11 \n" ); document.write( "y = 2x^2 +25x +66 \n" ); document.write( "f(8) = 2(8^2) +25*8 +66 \n" ); document.write( "f(8) = 394 \n" ); document.write( " \n" ); document.write( " |