Steps to finding the inverse:
1. Replace f(x) with y.
2. Swap x and y.
3. Solve the equation for y.
f(x) = 2x - 10
1. y = 2x - 10
2. x = 2y - 10
3. Add 10 to both sides
x + 10 = 2y
Divide both sides by 2
(x + 10)/2 = y
y = (x + 10)/2
f^-1(x) = (x + 10)/2
Answer:
Option 'b' i.e. -11/20 is the correct option.
Thus,

Step-by-step explanation:
Given the expression

Determining the difference of the fractions

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

Apply the fraction rule: 

Add the number: 4-15 = -11

Apply the fraction rule: 

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.
Therefore, option 'b' i.e. -11/20 is the correct option.
Thus,

Answer:
Negatively skewed
Step-by-step explanation:
Arrange this data in ascending order:
46, 50, 57, 58, 59, 59, 65, 66, 77, 80
and draw the bar chart as shown in attached diagram.
The data distribution appears to be negatively skewed (or left skewed), because the scores fall toward the higher side of the scale and there are very few low scores. The mean is also to the left of the peak.
True, a uniform distribution usually means they will be around the same frequency
Answer:
The value of x = 5
Step-by-step explanation:
Length of the pool = 20 feet
Width of the pool = (20 minus x) feet
Area of the pool = 300 square feet
Area of a rectangular pool = length × width
300 = 20 (20 - x)
300 = 400 - 20x
Subtract 400 from both sides
300 - 400 = 400 - 20x - 400
- 100 = - 20x
Divide both sides by -20
x = -100/-20
= 5
x = 5
The value of x = 5