profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes…

profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x^3 + 30x - 130. the cost, in dollars, of producing the skateboards can be modeled by 2x^3 - 3x - 520. the variable x represents the number of skateboards sold. what expression represents the profit? 27x - 650 27x + 390 33x - 650 33x + 390

profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x^3 + 30x - 130. the cost, in dollars, of producing the skateboards can be modeled by 2x^3 - 3x - 520. the variable x represents the number of skateboards sold. what expression represents the profit? 27x - 650 27x + 390 33x - 650 33x + 390

Answer

Explanation:

Step1: Recall profit formula

Profit = Revenue - Cost

Step2: Substitute given polynomials

Profit=(2x³ + 30x - 130)-(2x³ - 3x - 520)

Step3: Distribute the negative sign

Profit=2x³ + 30x - 130 - 2x³+3x + 520

Step4: Combine like - terms

(2x³-2x³)+(30x + 3x)+(-130 + 520)=33x + 390

Answer:

33x + 390