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RideAnS [48]
3 years ago
7

Consider the system of equations. y = −2x + 4 y = − 1/3x − 1

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Hey there! I'm happy to help!

We have two values for y. Since y=y, this means that −2x + 4 and − 1/3x − 1 are equal as well, so we can put them in an equation and solve for x.

−2x + 4 = − 1/3x − 1

We subtract 4 from both sides.

-2x=-1/3x-5

We add 1/3 x to both sides.

-5/3x=-5

We divide both sides by -1 2/3.

x=3

Now, we plug this into one of the original equations to find y.

y=-2(3)+4

y=-6+4

y=-2

Therefore, the solution is (3,-2) or x=3 and y=-2.

I hope that this helps! Have a wonderful day! :D

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The other person is wrong on the bottom.

When adding the numbers and dividing how many numbers there are is called Mean.

I already learned this in school.

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3 years ago
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This is the term in a polynomial without a variable
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It is a constant. hope this helps

4 0
3 years ago
Which is closest to the total surface area of a cylinder with a radius of 5 inches and a height that is equal to its diameter?
Pie
For this case, the surface area of the cylinder is given by:
 A = 2 * pi * r * h + 2 * pi * r ^ 2
 Where.
 r: cylinder radius
 h: cylinder height
 Substituting values we have:
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5 0
3 years ago
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The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
densk [106]

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μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

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We want to be 95% certain

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By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

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Comparing to what we want, that's means we have to solve

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√n = 2 (17/5)

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3 years ago
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It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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