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2 years ago

Create an equivalent system of equations using the sum of the system and the first equation.

Mathematics

2 answers:

Rzqust [24]2 years ago

6 0

Answer:

B) {-5x + 4y = 8

{-x + 5y = 10

Step-by-step explanation:

Add like it said, and you will see your answer.

Art [367]2 years ago

3 0

Answer:

Option B

$-5x+4y=8$

$-x+5y=10$

Step-by-step explanation:

We are given that

System of equations

$-5x+4y=8$

$4x+y=2$

We have to find an equivalent system of equations using sum of system and first equations

Sum of system of equations

$-5x+4y+4x+y=8+2$

$-x+5y=10$

Therefore, option B is true.

You might be interested in

What segment is congruent to AC?<br> A. BD<br> B. BE<br> C. CE<br> D. none

Phoenix [80]

You can find the segment congruent to AC by finding another segment with the same length. So first, you need to find the length of AC.

C - A = AC
0 - (-6) = AC Cancel out the double negative
0 + 6 = AC
6 = AC

Now, find another segment that also has a length of 6.

D - B = BD
2 - (-2) = BD Cancel out the double negative
2 + 2 = BD
4 = BD
4 ≠ 6

E - B = BE
4 - (-2) = BE Cancel out the double negative
4 + 2 = BE
6 = BE
6 = 6

So, the segment congruent to AC is B. BE .

8 0

3 years ago

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Description in words of the parameter p

$p$ represent the real population proportion of people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that have experienced bullying

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that they were planning to pursue a graduate degree

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.261$

$0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.369$

And the 90% confidence interval would be given (0.261;0.369).

We are confident at 90% that the true proportion of people that they were planning to pursue a graduate degree is between (0.261;0.369).

lower limit =0.261

upper limit =0.369

5 0

3 years ago

4. Mariana receives a $20 gift card for

Alenkasestr [34]

Answer:

inequality- 1.29m <20

maximum number of songs- 15 songs

Step-by-step explanation:

For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.

6 0

2 years ago

Im not sure whats it asking (even thought its infront of my face) Can someone sum op what its trying to tell me to do?

lakkis [162]

U hace to draw the coordinates and then multiply the line with enlargement and note the coordinates

5 0

3 years ago

Help...me...plz..!!.....?

Montano1993 [528]

Answer:

$\huge\boxed{-1}$