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lara31 [8.8K]
3 years ago
5

An equation of the line that passes through the given point and is parallel to the graph of the given equation

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

To construct the equations for these lines, we are going to use the point-slope formula, which is:

(y - y_1) = m(x - x_1)

  • m is the slope of the line
  • (x_1, y_1) is a point on the line

1)

In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)

Thus, we can "plug in" what we know into our formula to find the equation of our line:

(y + 1) = 5(x - 2)

(y + 1) = 5x - 10

y = 5x - 11


2)

We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.

(y + 5) = 9(x - 0)

y = 9x - 5


Our equations are:

1) y = 5x - 11

2) y = 9x - 5

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MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

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3 years ago
Which of the following points is in the solution set of y > -x2 + 5?
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I give brainliest to whoever answers <br> i need help please
klasskru [66]

Answer:

Its the top right one

Step-by-step explanation:

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Hope this helps

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Answer:

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Step-by-step explanation:

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