Answer:
The rate of change of the function is -5.
Step-by-step explanation:
Given : Function 
To find : What is the average rate of change ?
Solution :
Function 
The rate of change is the first derivative.

Derivate w.r.t. x,

Therefore, The rate of change of the function is -5.
Answer:
x = 3 and x = -12
Step-by-step explanation:
To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:
| 2x + 9 | = 15 becomes:
2x + 9 = 15 and 2x + 9 = -15
2x = 6 and 2x = -24
x = 3 and x = -12
Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.
Answer:
the value is 2.2721803393 x 1400
Answer:
a = 12. b =1/6. g(x) = 12(1/6)^x
Step-by-step explanation:
g(x) =a * b^x.
First we should use the give values to us in the table which are x=0 then g(x) = 12 and if x =1, then g(x) = 2. We should plug in the value where x = 0 since any value to the power of 0 is 1. 12= a *b^0. 12=a *1. Then we will get the value of a which is 12. Then we plug in our second given value to find b. 2 = 12 * b^1. First we will divide both sides by 12 to find b. 2/12 = 1/6. since any value to the power of 1 is itself then b =1/6. Then you will have a = 12. b =1/6 so g(x) = 12(1/6)^x