Question

A state department of public safety added 13x2 + 5x miles of highway to connect CoolTown and Bragville. It cost the department 3x2 – 9x thousand dollars to complete each mile of interstate. Which expression shows the total cost, in thousands of dollars, of creating this highway?

Answer 1

Answer:

x4 + 12x^3 – 45x^2

Step-by-step explanation:

Answer 2

The expression that shows the total cost in thousand of dollars of creating the highway is $\frac{3x-9}{13x+5}$

The state department of public safety added 13x² + 5x miles of highway to connect Cool Town and Brag Ville.

The cost to complete each mile of interstate is  3x² – 9x.

Mathematical expression

Mathematical expression combines variable, numbers and operation.

The expression that shows the total cost in thousand of dollars of creating the highway is as follows:

• $\frac{3x^{2} -9x}{13x^{2} +5x}$

Therefore,

total cost  in reduced form = $\frac{x(3x- 9)}{x(13x+5)}$

total cost  in reduced form =$\frac{3x-9}{13x+5}$

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