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egoroff_w [7]
3 years ago
5

Roman created the following table to represent the balance of his loan, y, over a period of months, x. The equation for the line

of best fit of Roman's table of dadt is y= -200.22x + 5,014.20.​
Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer: extrapolation, and 25 months

Step-by-step explanation:

I took the Plato test and got it right, but if you want to know. Interpolation means based on the numbers given you could see the answer, extrapolation means you have to go farther than the last plot point given to get your answer. Which you do since it does not go past 12 months.

The second answer you can roughly get by pluging in each of the choices in the equation for x

For example: y=-200.22(25)+5015.20

That should give you an answer pretty close to zero so there is your answer

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How do you find the center of dilation for a negetive dilation?​
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the Answer:

Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.

Note:

A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).

What happens when scale factor k is a negative value?

If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)

Let's see how a negative dilation affects a triangle:

Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.

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Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
gizmo_the_mogwai [7]

Answer:

When y=32, x=16.5

Step-by-step explanation:

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

We are given:

x varies inversely with y

We can write it as: x\:\alpha \:\frac{1}{y}

x=\frac{k}{y}

We have x = 132, when y=4

We can find value of k by using these values

x=\frac{k}{y}\\132=\frac{k}{4}\\k=132*4\\k=528

We need to find x when y=32

x=\frac{k}{y}\\x=\frac{528}{32}\\x=16.5

So, when y=32, x=16.5

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