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fomenos
4 years ago
13

What is the solution (x,y) to the system of equations below? -2x = 4y +6 2(2y+3) = 3x - 5

Mathematics
2 answers:
mixer [17]4 years ago
5 0

Answer:

B

Step-by-step explanation:

Given the 2 equations

- 2x = 4y + 6 → (1)

2(2y + 3) = 3x - 5 → (2)

Distribute left side of (2)

4y + 6 = 3x - 5 → (2)

Substitute 4y + 6 = - 2x into (2)

- 2x = 3x - 5 ( subtract 3x from both sides )

- 5x = - 5 ( divide both sides by - 5 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (1)

- 2(1) = 4y + 6

- 2 = 4y + 6 ( subtract 6 from both sides )

- 8 = 4y ( divide both sides by 4 )

y = - 2

Solution is (1, - 2 ) → B

Natasha2012 [34]4 years ago
5 0
18392028+]^[*=[]iwowue
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If 50% is 10 what is 25%​
kaheart [24]

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

8 0
3 years ago
Does this table represent a function? Why or why not?<br><br> Answers above
Mashutka [201]

Answer:

No, because a x-value repeats.

Step-by-step explanation:

A function has x-values that correspond to exactly one y-value. In the given table, <u>the number '5' appears twice as an x-value</u>. This means that the relation is not a function, "because one x-value corresponds to two different y-values."

7 0
3 years ago
Read 2 more answers
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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