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
Answer:
A. 105°
Step-by-step explanation:
Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.
Therefore, the answer is A.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
f(g(x)) = 2x +(-5)
Step-by-step explanation:
Put the argument value into the function and simplify the result.
f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1
f(g(x)) = 2x +(-5)
Answer:
Approximate probability that 
is less than 2 = 0.1515
Step-by-step explanation:
Given -
Mean 
= 2.2
Standard deviation 
= 1.4
Sample size ( n ) = 52
Let be the mean of accidents per week at the intersection during one year (52 weeks) .
probability that is less than 2 =
= 
Putting 
= 
( Using Z table )
= 0.1515
1/4 gallon= 32 oz
32•4= 128 oz
Austin drank 128 ounces of orange juice
