F(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4
g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29
10x-4>10-29 because from f(g(x)) you subtract less quantity.
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
Answer:
The correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by
Option D is correct option.
Step-by-step explanation:
The circumference of table top = 24
inches
We need to find area of table top
The formula used to find area is: 
We need to find radius of tabletop.
The formula used to find circumference is: 
Putting value of circumference we can find radius

So, radius of table top = 12
Now, finding the area:

So, the correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by
Option D is correct option.
Answer:
13.
π
14.
π
15. 
Step-by-step explanation:
13.
A = π * 
r =
A = π* 
A = π * 
A = π * 
A =
π
14.
V = π *
* h
r = 
h = 
V = π *
* 
V = π *
* 
V = π * 
V =
π
15.
= 








Hope this helps!
A graph shows the function can be factored as
f(x) = (x -1)((x-8)² +1)
There is one real root and there are two complex roots. The latter can be found from the vertex form factor:
(x - 8)² + 1 = 0
(x - 8)² = -1
x - 8 = ±√(-1) = ±i
x = 8 ± i
The zeros of the function are {1, 8-i, 8+i}.
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.