10. Which points are on the graph of the function rule f(x) = 10 – 4x?

A. (18, –2), (10, 0), (2, 2)

B. (–2, 18), (0, 10), (2, 2)

C. (2, –18), (0, –10), (–2, –2)

D. (–18, 2), (–10, 0), (–2, –2)

B. (–2, 18), (0, 10), (2, 2)

Step-by-step explanation:

Find the function by taking the integral of the derivative.

F ( x ) = 10 x − 2 x 2 + C

Given: f(x) = 10 - 4x

Just substitute in each points to see if they satisfy the equation.

Looking (c)  

(-2,18) > 10 - 4(-2) = 10 + 8 = 18.  (-2,18) is satisfied.

(0,10) > 10 - 4(0) = 10. (0,10) is satisfied.

(2,2) > 10 - 4(2) = 10 - 8 = 2. (2,2) is satisfied.

Therefore, (b) is the solution.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: