document.write( "Question 1156463: The length of a rectangular box is 4 times its height, and its width is 2 ft more than its height.
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document.write( "Use the graphing calculator to find the height of the box. Round the answer to two decimal places. \n" );
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Algebra.Com's Answer #779160 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The length of a rectangular box is 4 times its height, and its width is 2 ft more than its height. \n" ); document.write( "Use the graphing calculator to find the height of the box. \n" ); document.write( " Round the answer to two decimal places. \n" ); document.write( ": \n" ); document.write( "let x = the height \n" ); document.write( "then \n" ); document.write( "4x = the length \n" ); document.write( "and \n" ); document.write( "(x+2) = then width \n" ); document.write( "therefore \n" ); document.write( "vol = 4x * (x+2) * x \n" ); document.write( "v = 4x^3 + 8x^2 \n" ); document.write( "At this point it seems we should be given the volume of this box, like v = 64 \n" ); document.write( "4x^3 + 8x^2 = 64 \n" ); document.write( "4x^3 + 8x^2 - 64 = 0 \n" ); document.write( "simplify, divide to 4 \n" ); document.write( "x^3 + 2x^2 - 16 = 0 \n" ); document.write( "on a graphing calc \n" ); document.write( " \n" ); document.write( "x = 2 is the height \n" ); document.write( " |