ANSWER
Katnis is right
EXPLANATION
We use the Remainder Theorem to check if she is right.
According to the Remainder Theorem, if the polynomial function,

is divided by x+1, then the remainder is given by

We substitute x=-1 into the function to obtain,

We simplify to get:



Katnis is right because the remainder is zero
Answer:
when x=6, y=30
when x=7.5, y=37.5
Step-by-step explanation:
Just plug in the value of x into the equation y=5x
so when x=6, the equation will be y=5(6). In this case y=30
when x =7.5, the equation will be y=5(7.5). So y=37.5
Answer:
2
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 2, 4 ] , then
f(b) = f(4) = - (4)² + 4(4) + 12 = - 16 + 16 + 12 = 12
f(a) = f(- 2) = - (- 2)² + 4(- 2) + 12 = - 4 - 8 + 12 = 0
Then
average rate of change =
=
= 2
Answer:
D. Vast Universe.
Step-by-step explanation: