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3 years ago

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Which function has the following characteristics?

1 answer:

Lelechka [254]3 years ago

6 0

Answer:

Which function has the following characteristics?

- A vertical asymptote at x=3

- A horizontal asymptote at y=2

- Domain: {x ≠ ±3}

A. y= (2x-8) / (x-3)

B. y= (2x^2 - 8) / (x^2 - 9)

C. y= (x^2 - 9) / (x^2 - 4)

D. y= (2x^2 - 18) / (x^2 - 4)

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10. When you add the same number to both sides of an inequality, is the inequality still true? Explain how you know your stateme

avanturin [10]

The inequality is still true! If you add a number, say 5 to both sides of the following inequality, does anything change?

3 < 6

3 + 5 < 6 + 5

8 < 11

The inequality is still true. We know the statement holds for subtracting the same number because, in a way, addition and subtraction are pretty much the same operation. If I subtract 5 from both sides, I can think of it like "I add negative 5 to both sides" or something along those lines. It's kind of backwards thinking.

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4 years ago

A spheres radius is multiplied by 2. How is it’s surface area affected

dexar [7]

Answer:

The surface area is multiplied by 3.

Step-by-step explanation:

If r is the radius of a sphere its surface area = 4(pi)r^2. If the radius is doubled then its surface area = 4(pi)(2r)^2 = 4*4(pi)r^2. So the surface area becomes 4-fold or the increase in surface area is 300%.

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4 years ago

If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?

zavuch27 [327]

Answer:

17/13

Step-by-step explanation:

r(6) = 3(6) - 1 = 17 and s(6) = 2(6) + 1 = 13.

Then (r/s)(6) = 17/13.

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4 years ago

At the end of a snow storm, Michael saw there was a lot of snow on his front lawn. The temperature increased and the snow began

QveST [7]

Answer:

x-intercept equals 10

interpretation is that, after 10 hours, all of the snow will be melted

Step-by-step explanation:

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3 years ago

The graph of a function f(x) passes through the following points:

Alex

The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0 ...(3)

After solving (1), (2), and (3)

a = -2

b = 0

c = 2

f(x) = -2x² + 2

Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

Learn more about the function here:

brainly.com/question/5245372

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5 0

2 years ago