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PolarNik [594]
2 years ago
8

Which parent function is represented by the table?

Mathematics
1 answer:
polet [3.4K]2 years ago
4 0

Answer:

x^2

Step-by-step explanation:

So there's very two obvious ones we can elimination immediately, that's f(x) = x, and f(x) = |x|. The reason for this is because we can just look at the first ordered pair of (-2, 4). If it was f(x) = x, then the ordered pair would be (-2, -2), but it isn't. Very similar reasoning for f(x) = |x|, except for this function each ordered pair should have the same magnitude or absolute value. So the f(-2) should output 2, since it's the absolute value, but of course this isn't the case since it's 4.

So let's look at 2^x

2^{-2} = \frac{1}{2^2} = \frac{1}{4}

Since the y value is 4 and not 1/4, this is not the parent function

It should be the second option (x^2), and we can double check

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

It outputs the same y-values as the table so this is the parent function

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Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
worty [1.4K]

Answer:

Part A) Circumference

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Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

C=\pi D

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

D=200\ ft ----> diameter of the Ferris wheel

substitute in the formula of circumference

C=\pi (200)\\C=200\pi\ ft

assume

\pi=3.1416

C=200(3.1416)=628.32\ ft

therefore

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3 0
3 years ago
What is the volume of the pyramid?
k0ka [10]

Answer:

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Step-by-step explanation:

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h = height = 5 cm

v = (w * l * h) / 3

we replace the values that ​​we know        

v = (8cm * 6cm * 5 cm) / 3

v = 80cm³

The volume of the rectangular pyramid is 80cm³

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