Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
Answer:
It's choice B.
Step-by-step explanation:
Let's look the one you have chosen (A):
f(x) = x - 2/ 7 + 8
x-2 / 7 = f(x) - 8
x- 2 = 7(f(x) - 8)
x = 7(f(x) - 8) + 2
The inverse)= 7(x - 8) + 2
So it's not A.
B. f(x) = 5(x/4) - 3
5x / 4 = f(x) + 3
5x = 4(f(x) + 3)
x = 4(f(x) + 3 / 5
So the inverse is 4(x + 3) / 5
So it is B.
Answer:
<h2>Amanda needs 72 grams of paint</h2>
Step-by-step explanation:
Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.
Now, there remain 3 faces per cube to be painted, which means there are 24 faces.
Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.
Answer:
They are congruent by HL
Step-by-step explanation: