document.write( "Question 265136: I have trouble with word problems,I don't know where to begin. The problem is Plastics Unlimited plans to produce a one component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape.
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document.write( "A. Express the volume of the file as a function of the height x, in inches, of the file.
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document.write( "B. Find the domain of the function.\r
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document.write( "Thank You for your help. \n" );
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Algebra.Com's Answer #195057 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! produce a one component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape. \n" ); document.write( ": \n" ); document.write( "A. Express the volume of the file as a function of the height x, in inches, of the file. \n" ); document.write( "Height is given as x, therefore the width = (14-2x): x|__|x is the shape \n" ); document.write( "Vol = x*(14-2x)*8 \n" ); document.write( "V = (-2x^2 + 14x) * 8 \n" ); document.write( "V = -16x^2 + 112x \n" ); document.write( ": \n" ); document.write( "B. Find the domain of the function. \n" ); document.write( "Looking at the expression (14-2x), the domain has to be >0 and <7 \n" ); document.write( " |