A movie website offers one free movie viewing to anyone that registers. The total number of people that register can be modeled by the function f(x)=−27x3−135x2−72x+220, where x is the number of months passed since starting the website. The number of free movies available to choose from can be modeled as 3x+11. Write an expression that can be used to determine the average number of people that watch each free movie. Simplify your answer.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

-4

step-by-step explanation:

$9.41

step-by-step explanation:

a. she will receive a refund of $278.

step-by-step explanation: