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4 years ago

The graph below shows a system of equations:

Mathematics

2 answers:

svet-max [94.6K]4 years ago

8 0

Answer: -2

Step-by-step explanation:

We know that if system of two linear equations plotted on the graph, then the intersection point of the two lines represents the solution to the system of equations.

From the given graph , we can see that the intersection point of the two lines is at point (-2,2).

Thus, the solution to the given system of equation = (-2,2)

Therefore, the x-coordinate of the solution to the system of equations is -2.

Nostrana [21]4 years ago

4 0

3y = -2x + 2
y = x + 4 (Substitute the y)

3(x + 4) = -2x + 2 (Distribute)
3x + 12 = -2x + 2 (Add 3 to both sides)
+3x +3x
------------------------------------------
12 = 1x + 2 (Subtract 2 from both sides)
-2 - 2
------------------------
10 = 1x (Divide by 1 on both sides)
10/1 = 1x/1
x = 10
This is your x-coordinate

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Answer:

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Step-by-step explanation:

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3 years ago

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lbvjy [14]

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3 years ago

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Answer:

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4 years ago

A fourth grade class of 28 students is given a standardized math test. The mean score of the 12 boys is 25 with a standard devia

Mashcka [7]

Answer:

The standard error for the sampling distribution is 1.323.

Step-by-step explanation:

Let X = scores of girls and Y = scores of boys.

The information provided is:

$\bar x=24\\s_{x}=4\\n_{x}=16\\\bar y=25\\s_{y}=3\\n_{y}=12$

As the population standard deviations are not known, use a pooled standard deviation to estimate the standard error of the sampling distribution.

The formula of pooled standard deviation is:

$S_{p}=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}$

Compute the standard error for the sampling distribution as follows:

$SE=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}=\sqrt{\frac{4^{2}}{16}+\frac{3^{2}}{12}}=\sqrt{1+\frac{9}{12}}=\sqrt{\frac{21}{12}}=1.323$