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? a) 14x – 8. b) 14x + 4. c) 4x – 8. d) 4x + 4

for this case we have the following polynomials:

where,

h (x): is the cost of producing x soccer balls

k (x): is the revenue of x soccer balls.

then the profit is given by:

substituting values we have:

rewriting we have:

answer:

an expression that represents the profit of producing soccer balls is:

a) 14x - 8

c: 4x-8

step-by-step explanation:

profit = revenue - cost

(k – h)(x) = k(x) - h(x)

k(x) - h(x) = 9x - 2 - (5x + 6)

k(x) - h(x) = 9x - 2 - 5x - 6

k(x) - h(x) = (9x - 5x) - 2 - 6

k(x) - h(x) = 4x - 8

(k – h)(x) = 4x - 8

the answer is 5636.7