Answer:
f(g(x))=(x-2)^2 - 7
(x-2)(x-2) - 7
x^2-2x-2x+4-7
x^2-4x-3
g(f(x))=x^2-2-7
x^2-9
(x+3)(x-3)
Step-by-step explanation:
- to solve for f(x), replace x with the g(x).
- since we don't multiply a bracket with the negative or the positive signs to the
- exponent, you have to factor into two binomials.
- use the FOIL method to eliminate the brackets.
- add like-terms
- to find g(x), replace x with the f(x).
- add like-terms
- since there's difference of square, factor them into two binomials
The answer to 7/6 divided by 8/7 would be 1 1/48
Answer: 0.965
Step-by-step explanation:
Given : Water use in the summer is normally distributed with


Let X be the random variable that represents the quantity of water required on a particular day.
Z-score : 

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.
Answer:
the answer is -5. you could really just use a calculator this is pretty basic math.
Step-by-step explanation:
<u>Find fraction of snappers and catfish:</u>
1/3 + 2/9 = 3/9 + 2/9 = 5/9
<u>Find fraction of goldfish:</u>
1 - 5/9 = 4/9
4/9 = 40 goldfish
1/9 = 40 ÷ 4 = 10
9/9 = 10 x 9 = 90
Answer: 90 fish in the tank