What is the shaded area?

44.24 cm^2

Step-by-step explanation:

The area of the circle is

A = pi r^2 = 3.14 *4^2 = 50.24

The area of the rectangle is

A =l*w = 2*3 = 6

Subtract the rectangle from the circle

50.24 - 6

44.24

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3