The cost of producing X soccer balls in thousands of dollars is represented by (x) equals 5X + 6 the revenue is represented by (x) equals 9X - 2 which expression represents the prophet (k-h) (x) producing soccer ball

The expression of profit is (k - h) (x) = 4x - 8

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit = revenue - cost

- The cost of producing x soccer balls in thousand of dollars

represented by h (x) = 5x + 6

∴ The cost is h (x) = 5x + 6

- The revenue is represented by k (x) = 9x - 2

∴ The revenue is k (x) = 9x - 2

∵ The profit = revenue - cost

∴ (k - h) (x) = k (x) - h (x)

∵ k (x) = 9x - 2

∵ h (x) = 5x + 6

∴ (k - h) (x) = (9x - 2) - (5x + 6)

- Remember (-) (+) = (-)

∴ (k - h) (x) = 9x - 2 - 5x - 6

∴ (k - h) (x) = (9x - 5x) + (-2 - 6)

∴ (k - h) (x) = 4x + (-8)

∴ (k - h) (x) = 4x - 8

* The expression of profit is (k - h) (x) = 4x - 8