SOLUTION: 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 modele
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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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
:
Let f(x) = difference in cost between trains & trucks
:
f(x) = (-0.07x^2+34x-135) - (-0.02x^2+24x-180)
:
Removing the brackets changes the signs
f(x) = -0.07x^2 + 34x - 135 + 0.02x^2 - 24x + 180
:
f(x) = -.07x^2 + .02x^2 + 35x - 24x - 135 + 180
:
f(x) = -.05x^2 + 11x + 45
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