Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2

First some simplifying:

Then with
and
, we have
and
, so

Answer:
I would say probably 26.31 because 85% of 26.31 is 22.3635.
Hope this helps!
4. 6x + 5y = 4 a
6x-7y = -20 b
a-b
6x + 5y -6x+ 7y = 4+20
12y = 24
y = 2
Sub y in a
6x + 10 = 4
6x = 4-10
x = -6/6 = -1
5. 2x-3y=12 a
4x+ 3y = 24 b
b+a
4x+3y+2x-3y =36
6x=36
x=6
Sub x in a
12-3y = 12
-3y=12-12
y= 0/3 = 0
Answer:
Option C) a positive correlation.
Step-by-step explanation:
We are given the following in the question:
" People who tend to score low on one variable tend to score low on another variable."
Correlation:
- Correlation is a technique that help us to find or define a linear relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.
Thus, the correct answer is
Option C) a positive correlation.