Question

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

Answer 1

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

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