The resulting function g(x) is ...
g(x) = f(x +1)
g(x) = (((x +1) +1)(x +1) -2)(x +1) +1
= ((x +2)(x +1) -2)(x +1) +1
= (x² +3x)(x +1) +1
= x³ +4x² +3x +1
The shifted function g(x) is ...
g(x) = x³ +4x² +3x +1
Answer: A
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is
n-4(32.5) > 300;n > 430
The correct answer is B hope this helps you.!
(2x-1)(4x+1) just multiply the terms in the parentesis
Do the following:
2x*4x
2x*1
-1*4x
-1*1
You get:
8x^2+2x-4x-1
Final result:
8x^2-2x-1
Answer:
128
Step-by-step explanation:
if to substitute y= -6, then
![\lim_{y \to \ {-6}} \sqrt[3]{(2-y)^7}=\sqrt[3]{8^7}=2^7=128.](https://tex.z-dn.net/?f=%5Clim_%7By%20%5Cto%20%5C%20%7B-6%7D%7D%20%5Csqrt%5B3%5D%7B%282-y%29%5E7%7D%3D%5Csqrt%5B3%5D%7B8%5E7%7D%3D2%5E7%3D128.)
