Answer:
x = -3
Step-by-step explanation:
There can be only one possibility:
either maxima or minima
1. differentiate the equation
2. slope = 4x + 12
3. at absolute maxima or minima slope of graph is 0
4. 0 = 4x +12
5. 4x = -12
6. x = -3
<span>They are finite sums of expressions of the form where a is a constant, x is the variable and k is a non-negative integer</span>
I see from the given data that each additional carpet after the first costs $50 each to have cleaned.
The first costs $125. Supposing we subtract $50 from that, we get $75. So, it sounds like it costs $75 just to get the carpet cleaners to your house.
The rule would then be $75 + $50x, where x : {1, 2, 3, 4, .... }
Let's check this result. Suppose x = 1. Will the charge be $125, as show in the table? $75 + $50(1) = $125. Correct.
Suppose x = 4. Will the charge be $275 as shown in the table?
$75 + $50(4) = $275. YES
Answer: -18
<u>Explanation:</u>
Average rate of change is slope: 
. Need to find the y-coordinates:
g(x) = -x² - 4x
g(6) = -(6)² - 4(6)
= -36 - 24
= -60
⇒ (6, -60)
g(8) = -(8)² - 4(8)
= -64 - 32
= -96
⇒ (8, -96)
m = 
= 
= -18
It is 100 because 10 times 10 = 100.
Area= Length times Width
