the cost of producing x soccer balls in thousands of dollars is represented by h(x)=5x + 6. the revenue is…

the cost of producing x soccer balls in thousands of dollars is represented by h(x)=5x + 6. the revenue is represented by k(x)=9x - 2. which expression represents the profit, (k - h)(x), of producing soccer balls?\no 14x - 8\no 14x + 4\no 4x - 8\no 4x + 4

the cost of producing x soccer balls in thousands of dollars is represented by h(x)=5x + 6. the revenue is represented by k(x)=9x - 2. which expression represents the profit, (k - h)(x), of producing soccer balls?\no 14x - 8\no 14x + 4\no 4x - 8\no 4x + 4

Answer

Explanation:

Step1: Write out the profit formula

Profit = Revenue - Cost, so ((k - h)(x)=k(x)-h(x)).

Step2: Substitute the given functions

Substitute (k(x)=9x - 2) and (h(x)=5x + 6) into the formula: ((9x - 2)-(5x + 6)).

Step3: Remove parentheses

(9x-2 - 5x-6).

Step4: Combine like - terms

((9x-5x)+(-2 - 6)=4x-8).

Answer:

C. (4x - 8)