A state department of public safety added 13×2 + 5x miles of highway to connect CoolTown and Bragville. It cost the department 3×2 – 9x thou

Question

A state department of public safety added 13×2 + 5x miles of highway to connect CoolTown and Bragville. It cost the department 3×2 – 9x thousand dollars to complete each mile of interstate. Which expression shows the total cost, in thousands of dollars, of creating this highway?

in progress 0
Serenity 2 days 2021-10-11T00:25:12+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T00:26:23+00:00

    Answer:

    39x^4-102x^3-45x^2 in thousands of dollars.

    Step-by-step explanation:

    It is given that a state department of public safety added 13x^2+5x miles of highway to connect CoolTown and Bragville.

    Length of highway : L=13x^2+5x miles

    Cost of highway : C=3x^2-9x thousand dollars per mile.

    We need to find the expression that shows the total cost.

    \text{Total cost}=L\times C

    \text{Total cost}=(13x^2+5x)\times (3x^2-9x)

    Using distributive property

    \text{Total cost}=13x^2(3x^2-9x)+5x(3x^2-9x)

    \text{Total cost}=13x^2\cdot \:3x^2+13x^2\left(-9x\right)+5x\cdot \:3x^2+5x\left(-9x\right)

    \text{Total cost}=39x^4-117x^3+15x^2-45x^2

    On combining like terms we get

    \text{Total cost}=39x^4-102x^3-45x^2

    Therefore, the total cost is 39x^4-102x^3-45x^2 in thousands of dollars.

    0
    2021-10-11T00:26:27+00:00

    Answer:

    x4 + 12x^3 – 45x^2

    Step-by-step explanation:

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )