document.write( "Question 127889: A company distributes its product by train and by truck. The cost of distributing by train can be modeled as -0.07x^2+34x-135, and the cost of distributing by trucks can be modeled as -0.02x^2+24x-180, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by trucks.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #93711 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A company distributes its product by train and by truck. The cost of distributing
\n" ); document.write( " by train can be modeled as -0.07x^2+34x-135, and the cost of distributing by
\n" ); document.write( "trucks can be modeled as -0.02x^2+24x-180, where x is the number of tons of
\n" ); document.write( " product distributed. Write a polynomial that represents the difference between
\n" ); document.write( " the cost of distributing by train and the cost of distributing by trucks
\n" ); document.write( ":
\n" ); document.write( "Let f(x) = difference in cost between trains & trucks
\n" ); document.write( ":
\n" ); document.write( "f(x) = (-0.07x^2+34x-135) - (-0.02x^2+24x-180)
\n" ); document.write( ":
\n" ); document.write( "Removing the brackets changes the signs
\n" ); document.write( "f(x) = -0.07x^2 + 34x - 135 + 0.02x^2 - 24x + 180
\n" ); document.write( ":
\n" ); document.write( "f(x) = -.07x^2 + .02x^2 + 35x - 24x - 135 + 180
\n" ); document.write( ":
\n" ); document.write( "f(x) = -.05x^2 + 11x + 45
\n" ); document.write( " \n" ); document.write( "

\n" );