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2 years ago

Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4

Mathematics

1 answer:

AnnZ [28]2 years ago

6 0

Answer:

To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)

Step-by-step explanation:

2(-x+y=2) Make one of the coefficients equal, with opposite signs.

2x-3y=4 Combine equations.

-y=8 Solve, y=-8

Then find x, -x-8=2

-x=10, so x= -10

(-10, -8) is your answer.

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quester [9]

a. f(a) =5a+12

we have 1. a=6

Therefore, where ever we find a we'll substitute in 6

f(6) =5(6) +12

6f=30+12

6f=42

so therefore 1. a=6 will match c on the right

2. a=2

f(2) =5(2) +12

2f = 10+12

2f = 22

therefore 2. a=2 will match a on the right

3. a=4

f(4) =5(4) +12

4f=20+12

4f=32

therefore 3. a=4 will match d on the right

4. a=5

f(5) =5(5) +12

5f=25+12

5f=37

therefore 4. a=5 will match b on the right

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2 years ago

Find the equation of the exponential function represented by the table below: y 0 0.01 1 0.005 2 0.0025 3 0.00125 Submit Answer

Alika [10]

Answer:

Step-by-step explanation:

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3 years ago

Find the length AB round your answer to the tenth

Kobotan [32]

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$AB = \sqrt{ ({3 - ( - 2)})^{2} + ({4 - 0})^{2} } \\$

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$AB = \sqrt{ {5}^{2} + {4}^{2} }$

$AB = \sqrt{25 + 16}$

$AB = \sqrt{41}$

$AB = 6.403$

$AB = 6.4$

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2 years ago

One factor in rating a National Hockey League team is the mean weight of its players. A random sample of players from the Detroi

lukranit [14]

Answer:

1) Random: A random sample needs to be obtained in order to apply inference for the mean

2) Normality condition: The sampling distribution of $\bar X$ needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.

3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.

Step-by-step explanation:

For this case we need three conditions:

1) Random: A random sample needs to be obtained in order to apply inference for the mean

3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.

Data given and notation

$\bar X=203$ represent the sample mean

$s=10.9$ represent the sample standard deviation

$n=17$ sample size

$\mu_o$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We can assume the following system of hypothesis.

Null hypothesis: $\mu = \mu_o$

Alternative hypothesis : $\mu\neq \mu_o$

The degrees of freedom on this case:

$df=n-1=10-1$

Compute the test statistic

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

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3 years ago

01.01)<br><br> Evaluate 48 + 24 ÷ 8 − 22. (1 point)

34kurt

Answer:

Step-by-step explanation:

24÷8 = 3

48 - 22 + 3 = 29

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2 years ago

Read 2 more answers

Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4​

Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4