Find the product of 3 5 3√ 5 and 4 5 4√ 5 in simplest form. also, determine whether the result is rational or irrational and explain your answer.

3/5^3 = 27

125

= 0.216

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

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).