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schepotkina [342]
3 years ago
14

Let f(x) = |x|, where x can be any real number. Write a formula for the function whose graph is the

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

y = 5f(x)

Please see the picture below

Step-by-step explanation:

Given the function f(x) = |x|, to transform the function y=f(x) with a vertical scaling with scale factor of 5, you should multiply the function by 5 to obtain the result;

y = 5f(x)

Please see the picture below to see a graphic solution.

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. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
charle [14.2K]

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

5 0
3 years ago
Read 2 more answers
Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
tangare [24]

9514 1404 393

Answer:

  A.  √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

__

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

__

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

  c = √(a^2 +b^2 -2ab·cos(C))

  c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

  c = √13 . . . . . length of the side opposite the 60° angle

5 0
3 years ago
Plese HELP !!!
beks73 [17]

Answer:

-9/8

Step-by-step explanation:

\frac{-2a^{-3}b^2}{a} \\ \\ =-\frac{2b^2}{a^4} \\ \\ =-\frac{2(3)^2}{(-2)^4} \\ \\ =-\frac{18}{16} \\ \\ =-\frac{9}{8}

6 0
2 years ago
Emily has a lock that uses the numbers 0-7. The combination is 3 numbers long. What is the probability that the combination is 7
Margarita [4]
333 most likely then
8 0
4 years ago
True or false: the Pythagorean theorem can be applied to every triangle
Mnenie [13.5K]

Answer:

False

Step-by-step explanation:

The Pythagorean theorem can only be applied to right triangles.

4 0
3 years ago
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