<span>(f o g)(4) = f(g(4))
so
g(4) = </span><span>-2(4) -6 = -14
</span>f(g(4)) = <span>3(-14) -7 = -49
answer
</span><span> (f o g)(4) = -49</span>
Answer:
The estimated Rabbit population by the year 2036 is 32,309 rabbits
Step-by-step explanation:
In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.
An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.
Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I
Mathematically, we have the decay function as;
P = I(1-r)^t
From the question, we identify these values as;
P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years
Let's plug these values;
P = 144,000(1-0.072)^20
P = 144,000(0.928)^20
P= 32,309
Answer:

Step-by-step explanation:
Here, we have to find the sum of 2 fractions:
1st fraction: 
2nd fraction: 
Considering the denominator of 1st fraction:

Using factorization method:
can be written as
.

Taking <em>5 common</em> from
and <em>y common</em> from
:

Now taking
common:

can be written as 
Now, calculating the sum:

Taking <em>LCM</em> and solving:

Hence, answer is
.
Answer:
What are the y values you can not find the average rate of change without the y values.
Step-by-step explanation:
Answer
0.00145
Step-by-step explanation:
(5 x 10^-4) + (9.5 x 10^-4)
0.0005 + 0.00095
= 0.00145