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3 years ago

2x + y = -4 5x - 3y = 1 Solve with elimination method

2 answers:

6 0

Multiply entire first equation by 3 so the y variables will cancel when you add the equations.

6x +3y =-12
5x -3y =1

Add the equations.

11x =-11
X=-1

Now use that value for x in either equation to find y.

2(-1) +y= -4
-2+y =-4
Y =-2

Solution is (-1, -2)

Ivanshal [37]3 years ago

3 0

Answer:

For the first equation the answer for "X" will be,

$x = \frac{ - 4 - y}{2}$

if you want me to solve for y instead then the answer will be,

$y = - 4 - 2x$

for the second equation the answer for "X" will be,

$x = \frac{1 + 3y}{5}$

If you want me to solve for y instead then the answer will be,

$y = - \frac{1 - 5x}{3}$

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Stephanie goes shopping on Sunday. She

Ne4ueva [31]

$60 - $10 = $50
$50 / 20 = $2.5 ea.

3 0

3 years ago

A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that yo

aev [14]

Answer:

1. M=108

2. μ=110

3. In the explanation.

4. Test statistic t = -1.05

5. P-value = 0.1597

Step-by-step explanation:

The question is incomplete: to solve this problem, we need the sample information: size, mean and standard deviation.

We will assume a sample size of 10 matches, a sample mean of 108 points and a sample standard deviation of 6 points.

1. The mean points is the sample points and has a value of 108 points.

2. The null hypothesis is H0: μ=110, meaning that the mean score is not significantly less from 110 points.

3. This is a hypothesis test for the population mean.

The claim is that the mean score is significantly less than 110.

Then, the null and alternative hypothesis are:

$H_0: \mu=110\\\\H_a:\mu< 110$

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=108.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{10}}=1.9$

4. Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{108-110}{1.9}=\dfrac{-2}{1.9}=-1.05$

The degrees of freedom for this sample size are:

$df=n-1=10-1=9$

5. This test is a left-tailed test, with 9 degrees of freedom and t=-1.05, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.1597) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean score is significantly less than 110.

7 0

3 years ago

Find y and x intercept

Svetlanka [38]

-2x + 3y = 12
x intercept y = 0
-2x = 12
x = -6

y intercept x = 0
3y = 12
y = 4

answer
y intercept (0,4)
x intercept (-6,0)

3 0

4 years ago

Sally had $26. Then she earned some more money doing chores.

stich3 [128]

Answer:

Step-by-step explanation:

Sally started with $26 and ended with $35 meaning she earned money

If she began with a lower number than she started with, you have to subtract the greater number by the lower to find the difference

35-26 = 9

THEREFORE she made $9 doing chores

3 0

3 years ago

Read 2 more answers

Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good id

DochEvi [55]

Answer:

Step-by-step explanation:

Part 1:

1. What is being asked in the problem and what does that mean?

Oliver is meaning to save more money than Lilliana

2.What do you know and what does it mean? What plan are you going to try?

It means that Oliver is trying to be reponsible and save money for a nice house. Use an equalizer and solve it.

3. Write out your thinking and work.

Since Olivier saves 150 per month, we multiply that with the number of years and then subtract the $75 he already saved up (since we only need to calculate the amount that he saved over the months.

2 yr of months: 150x30 -75 = 4480

10 yr of months: 150x180 - 75 = 21,993

4. Write out your response to the question, explaining your answer and what it means.

2 months of years: $4480

10 months of years: $21993

Part 2:

1. What is being asked in the problem and what does that mean?

Liliana needs to save money and we are asked to help her.

2.What do you know and what does it mean? What plan are you going to try?

It means that we have to use an equalizer to give to her so she can save the money over the years.

3. Write out your thinking and work.

Use formulaic methods. Since she has interest on her money, we have to include it:

i = log(x-4*7)^k

i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest

i = log(4000-4*7)^2 for 4000 at 7% interest over 2 years

i = log(4000-4*7)^10 for 4000 at 7% interest over 10 years

4. Write out your response to the question, explaining your answer and what it means.

Amount after 2 years: $30,000

Amount after 10 years: $15,671

Part 3:

1. What is being asked in the problem and what does that mean?

How we can help Ella save for her college.

2.What do you know and what does it mean? What plan are you going to try?

We can try using formulaic methods like we did for Dan in the previous assignment.

3. Write out your thinking and work.

l = (a/b)^q where l is the amount saved, a is the initial amount of dollars, b, is the time, and q is the interest

2 years: (4500/2)^4.5 = 2,500

10 years: (4500/10)^4.5 = 40,650

4. Write out your response to the question, explaining your answer and what it means.

After 2 years: $2500

After 10 years: $40,650

Ella would be able to afford college (if she does community college, but not a private university).

5 0

3 years ago

Read 2 more answers