<u>ANSWER:</u> The correct answer is 
.
<u>Explanation</u>
The composition of a function of 
and its inverse will produce the independent variable .
For instance, let 
.
The inverse of this function is 
.
If we compose these two functions, we will obtain;
This means we have to substitute the whole inverse function in to the function itself.
The other way round will also produce the same result.
Thus;
This does not only apply to the given example it applies to all functions and their inverse.
The value of r in the given coordinates with their slope is; r = 7
How to find the Slope of a Line?
The formula for slope of a line passing through 2 points is;
m = (y2 - y1)/(x2 - x1)
We are given the coordinates as;
(1,-10) and (r,2)
The slope of the line passing through this coordinates is 2. Thus;
(2 + 10)/(r - 1) = 2
12 = 2r - 2
2r = 14
r = 14/2
r = 7
Read more about Slope of a Line at; brainly.com/question/3493733
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Let L be length and W be width
The perimeter of a rectangle is 2W+2L=36
Thus 2W=36-2L, W=18-L
Area of a rectangle is WL=80
Thus (18-L)(L)=80
18L-L^2=80
L^2-18L+80=0
(L-8)(L-10)
Thus L can either be 8 or 10.
Because WL=80
If L is 8, then W=10
If L is 10, then W=8
So either way, the notebook is 8 by 10
Answer:
146%
Step-by-step explanation:
To find the percent increase/decrease:
1. Subtract the original value from the new value.
2. Divide by the original value.
3. Multiply the decimal by 100 to convert to a percent.
98.9 - 40.2 = 58.7
58.7/40.2 = 1.46
1.46*100 = 146%
Answer:
See below
Step-by-step explanation:
She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.
