So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

68 is the answer
Answer:
The last choice is the one you want
Step-by-step explanation:
First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.
The second one factored becomes:

which reflects a shift to the right 3 and up 1. Not what we are asked to find.
The fourth one factored becomes:

which reflects a shift to the right 3 and down 5. That's what we want!
You will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
<h3>What is compound interest, and how does it work?</h3>
Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
Principal(P)=$40,000
(Time period)T=25+15 = 40 year
R=8%
The final balance is $273,938.99 and the total compound interest is $233,938.99.
The amount he has to deposit each year is found as;
⇒$273,938.99/25
⇒ $ 10,957
Hence. you will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
To learn more about compound interest, refer to brainly.com/question/14295570
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Answer: e. .0950
Step-by-step explanation:
Let X be the number of people that can be cure from disease.
Since each people independently has a 40% chance of contracting the disease.
So , 
A hospital has the capacity to handle at most 8 cases of the disease.
Binomial distribution formula : 
Then , the probability that the hospital’s capacity will be exceeded
![P(X>8)=1-P(X\leq8)\\\\=1-0.905\ \ [\text{Using Binomial distribution table for n=15 , x=8 and p=0.4.}]](https://tex.z-dn.net/?f=P%28X%3E8%29%3D1-P%28X%5Cleq8%29%5C%5C%5C%5C%3D1-0.905%5C%20%5C%20%5B%5Ctext%7BUsing%20Binomial%20distribution%20table%20for%20n%3D15%20%2C%20x%3D8%20and%20p%3D0.4.%7D%5D)

Hence, the probability that the hospital’s capacity will be exceeded is e. .0950.
Thus , the correct option is e. .0950.