Raul works at a movie theatre. the function f(x) represents the amount of money raul earns per ticket, where x is the number of tickets he sells. the function g(x) represents the number of tickets raul sells per hour, where x is the number of hours he works. show all work to find f(g( and explain what f(g(x)) represents.

f(x) = 2x^2 + 16
g of x equals the square root of the quantity 5x cubed

See explanation

Step-by-step explanation:

So, the function f(g(x)) represents the amount of money Raul earns, where x is the number of hours he works.

If

then

65°

step-by-step explanation:

the total measure of a triangle is 180 degrees. 62 + 53 is 115.

180 - 115 = 65

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.