Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).

Answers

Answer 1
Answer: Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
Answer 2
Answer: f(x) = x + 8
g(x) = x² - 6x - 7

f(g(2)) = ((2)² - 6(2) - 7) + 8
f(g(2)) = (4 - 12 - 7) + 8
f(g(2)) = (-8 - 7) + 8
f(g(2)) = -15 + 8
f(g(2)) = -7

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Answers

Answer: D.

2^((x+2))

Step-by-step explanation:

Because since g=2

Choice D has the only parentheses, so (x) is (x+2)

Answer:

A or c should be you'r answer but i believe it is A. Let me know if this helped you

Step-by-step explanation:

Which is a measure of the efficiency of an investment? return rate return on investment efficiency coefficient

Answers

"return on investment" is the best measure of the efficiency of an investment, but it should be noted that there are other indicators of how well an investment is doing. 

Answer:

The measure of the efficiency of an investment is:

                     Return on investment (ROI)

Step-by-step explanation:

Return on investment (ROI)--

Return on investment is a kind of a performance measure that measures the efficiency of an investment or compare efficiency of different investments.

The formula to calculate ROI is given by:

\text{ROI}=\frac{\text{Benefit\ or\ return\ on\ investment}}{\text{Cost\ of\ investment}}* 100

         Hence, the answer is:

       Return on Investment (ROI)

I need help solving this

Answers

The area of the triangle is 15*25*sin(30) = 187.5;

A driveway is 90 feet long, 15 feet wide, and 4 feet deep. How many cubic feet of concrete will be required to fill the driveway?Group of answer choices

546 ft

2555 ft

5,400 ft

540 ft

Answers

To find the volume of the driveway, we need to multiply its length, width, and depth.

The length of the driveway is 90 feet, the width is 15 feet, and the depth is 4 feet.

Volume = length x width x depth

Volume = 90 ft x 15 ft x 4 ft

Volume = 5400 cubic feet

Therefore, 5400 cubic feet of concrete will be required to fill the driveway.

Hence, the correct answer is 5400 ft³.

The graph below shows a scatter plot and the line of best fit relating the ages of children and the total number of times they have visited the doctor.Use the line of best fit to estimate the age of a child who has visited the doctor 40 times.

A. 14 years old
B. 13 years old
C. 12 years old
D. 11 years old

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The graph below shows a scatter plot and the line of best fit relating the ages of children and the total number of times they have visited the doctor.

If a line passes through two points then the equation of line is

y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

From the given graph it is clear that the line of best fit passes through the points (0,0) and (3,10). So, the equation of best fit line is

y-0=(10-0)/(3-0)(x-0)

y=(10)/(3)x           .... (1)

The equation of best fit line is y=(10)/(3)x. Where, x is age in year and y shows the total number of visits to the doctor.

We need to estimate the age of a child who has visited the doctor 40 times.

Substitute y=40 in equation (1), to find the value of x.

40=(10)/(3)x

Multiply both sides by 3.

120=10x

Divide both sides by 10.

12=x

The value of x is 12. It means the age of a child who has visited the doctor 40 times is 12.

Therefore the correct option is C.

The kid is around 12 years old that visits the doctor 40 times

Six friends are going to sit together in a roller coaster car that has six seats in how many different arrangements can they sit

Answers

They can sit in 6 different arrangements

Answer: 720

Six friends are going to sit together in a roller coaster car that has six seats in how many different arrangements can they sit