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Marina86 [1]
4 years ago
6

Tell wether the ordered pair (5,-3) is a solution of the system -3x+2y=-21;-x-y=-2

Mathematics
1 answer:
Viefleur [7K]4 years ago
8 0

Answer:

(5,-3) is a solution of -x-y=-2

Step-by-step explanation:

You just plug in the numbers in the equation

x=5 y=-3

-5(5)+2(-3)=-25-6 which doesn't equal -21

-5-(-3)=-5+3=-2

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draw the line which will represent the graph of the equation y-2.5x=c if it's known it passes through the point K(2, -3)
Oksi-84 [34.3K]

The line will represent the graph of the equation y=2.5x-8.

The two points necessary to graph would be (2,-3) and (0,-8).

<h3>What is the slope-intercept form?</h3>

The slope-intercept form is y=mx+c

If the line passes through (2,-3),

let us plugin and find c.

So we get,

-3-2.5(2)=c

-3-5=c

c=-8

So, The equation of the line is y=2.5x-8.

To learn more about the equation visit:

brainly.com/question/2972832

8 0
2 years ago
Read 2 more answers
Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
3 years ago
Two trains leave stations 336 miles apart at the same time and travel toward each other. One train travels at 60 miles per hour
VMariaS [17]
I think the answer is 2 hours 40 min
5 0
3 years ago
Find the LMN....<br> Help
timofeeve [1]
The angle measuring x° and the angle measuring (3x-70)° are corresponding angles and are this congruent, or

x=3x -70
2x=70 x=35.

so the measure of both of the angles is 35°
6 0
3 years ago
The monthly rental for an apartment is 412.50 how much would the rent be for a year?
gavmur [86]

Answer:

4950

Step-by-step explanation:

412.50 x 12

412.50 is the mothly rental

12 are the month in a year

so it is 4950

8 0
4 years ago
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