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A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.07x^2 + 34x − 140, and the cost of distributing by truck can be modeled as −0.03x^2 + 29x − 150, 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 truck.

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ukshedrack

Answer:

[tex]f(x) = -0.04x^{2} + 5x+10[/tex]

Step-by-step explanation:

Cost of distributing by train = [tex]-0.07x^{2} +34x-140[/tex]

Cost of distributing by truck = [tex]-0.03x^{2} + 29x-150[/tex]

Let the polynomial = f(x)

f(x) = Cost of distributing by train - Cost of distributing by truck

[tex]f(x) = -0.07x^{2} + 34x -140 -(-0.03x^{2} +29x-150)\\\\f(x) = -0.07x^{2} + 34x -140 + 0.03x^{2} -29x+150\\\\f(x) = -0.07x^{2}+ 0.03x^{2}+ 34x-29x-140+150\\\\f(x) = -0.04x^{2} + 5x+10[/tex]

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