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25 October, 05:23

A state department of public safety added 1/3x2+5x miles of highway to connect cool town and brag illegal. It cost the department 3x2-9x thousand dollars to complete each mile of Inter estate which expression shows the total cost in thousands of dollars of creating this highway?

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  1. 25 October, 06:57
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    Total cost = $ (x⁴ + 12x³ - 45x²)

    Step-by-step explanation:

    It is given that a state department of public safety added (1/3) x² + 5x miles of highway to connect CoolTown and Bragville.

    So, length of highway; L = (1/3) x² + 5x miles

    Cost of highway; C = $3x² - 9x per mile

    Thus, total cost = LC

    Total cost = ((1/3) x² + 5x) x (3x² - 9x)

    Total cost = x⁴ - 3x³ + 15x³ - 45x²

    Total cost = $ x⁴ + 12x³ - 45x²
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