Step-by-step explanation:
(A) To find inverse of f(x) = y = 1 / x - 3 :
<u>Transform in terms of x</u>
y = 1 / x - 3
x - 3 = 1 / y
x = 3 + 1 / y
<u>Exchange x with y</u> :

Therefore, g(x) is not inverse of f(x) and vice versa.
(B)
Domain of f(x) = R - {3}
Domain of g(x) = R - {0}
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

Rounding up to the next whole student, the sample size needed is 2,655 students.
Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
Answer:
I believe it's the 3rd option:
(-1, 8), (0, 10), (1,12), (2, 14)
Step-by-step explanation:
9x9=81
so there is 9 on 2 sides, which is 18 when it gets added together. DONT FORGET ABOUT THE OTHER 2 SIDES!! you have four sides of the square so 9x4=36. I believe the answer is actually 36