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GarryVolchara [31]
3 years ago
11

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

Mathematics
1 answer:
Alex3 years ago
6 0
We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x  + 1. If x is equal to 2, then <span>f(g(2)) = 2^</span>2 - 6*2  + 1 equal to -7.
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A pyramid has a base that is a right triangle with legs measuring 15 cm and 24 cm. The height of the pyramid is 13 cm. What is t
DENIUS [597]

Answer:

\boxed{780}\ cm^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3·B·h

where B represents the area of the base and h represents the height.

The area of a triangle is given by the formula ...

  A = 1/2·b·h

where b represents the length of the base of the triangle, and h represents the height of the triangle.

For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have

  A = 1/2·(15 cm)·(24 cm) = 180 cm²

The volume of the pyramid is then ...

  V = 1/3·(180 cm²)(13 cm) = 780 cm³

The volume of the pyramid is 780 cm³.

3 0
3 years ago
Which of the following is a solution to tanx+sqrt3=0?
defon

Answer:

x=2π/3+π n

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

3 0
4 years ago
Read 2 more answers
Are Functions 1 and 2 the same? Explain. Function 1: y = 3(x + 5) Function 2: y equals three times x, plus 5.
Molodets [167]

Answer:

No, the functions are not the same.

Step-by-step explanation:

For function one you have to distribute the three to the x and the five which would give you a function of 3x+15.

This will result in different y-intercepts function one's why being 15 and function's two y-intercept being 5. Though the will have the same slope they are two different functions.

7 0
3 years ago
A roll of tape has a circumference of 14.8 centimeters. The circumference decreases 2.4 centimeters after you use some of the ta
Lelu [443]

Answer:

7.900 cm

Step-by-step explanation:

The computation of the diameter after using the tape is given below:

Since the circumference is 14.8 cm

And it would be decrease by 2.4 cm

So, the new circumference is

= 14.8 - 2.4

= 12.4 cm

Now the radius is

= 12.4 ÷ π

= 3.95

And, the diameter is

= 3.95 × 2

= 7.900 cm

6 0
3 years ago
2x – 4y = 14<br> x = 2y – 2<br><br> What is the solution to the system?
AVprozaik [17]

Answer:

No Solution.

Step-by-step explanation:

2x-4y=14

x=2y-2

----------------

2(2y-2)-4y=14

4y-4-4y=14

-4=14

no solution

4 0
3 years ago
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