Answer: f(x) = 3(0.7)^x
Because as the exponent (x) of 0.7 grows the result decreases. When x is a big negative number the decay is fast, when the x is a big positive number the decay is low, and the function appraches assymptotically to a constant value. This is the behavior of an exponentially decaying function.
Answer:
(a) 0.107 million per year
(b) 0.114 million per year
Step-by-step explanation:

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000,
and in 2014,
. Mathematically,


(b) The instantaneous rate of change is determined by finding the differential derivative at that year.
The result of differentiating functions of the firm
(where
is a constant) is
. Let's use in this in finding the derivative of
.

In the year 2014,
.

Answer:
14.75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
Let the complement have measure x.
x + 75.25 = 90
x = 90 - 75.25
x = 14.75
Answer: 14.75°
Answer:
Step-by-step explanation:
D. W - 4
For this case we have the following functions:

We must find
By definition of composition of functions we have:

So:
![(p-9) (x) = x ^ 2-1- [5 (x-1)] = (x ^ 2-1) -5 (x-1)](https://tex.z-dn.net/?f=%28p-9%29%20%28x%29%20%3D%20x%20%5E%202-1-%20%5B5%20%28x-1%29%5D%20%3D%20%28x%20%5E%202-1%29%20-5%20%28x-1%29)
Thus, the correct option is option C.
Answer:

Option C