Write the expression 5x(x + 9) - 7(x + 9) in complete factored form.
a. (x + 9)(x + 9)
b. (5x - 7)(x+9)
c. (5x – 7)(x + 9)(x + 9)
d. (5x2 + - 63)

B. (5x - 7)(x+9)

Step-by-step explanation:

5x(x + 9) - 7(x + 9

Factor out the quantity (x+9)

(x+9) (5x-7)

Rearrange the order

(5x - 7)(x+9)

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).