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lorasvet [3.4K]
2 years ago
12

Solving Inequalities (Will mark as brainliest)

Mathematics
1 answer:
svlad2 [7]2 years ago
5 0

Answer:

1. x ≤ -8

2. y < -8

3. y < -11

4. n > 10

5. n ≤ -2

6. n ≤ 15

7. n ≤ -5

Step-by-step explanation:

Your goal is to get just the variable on one side of the inequality!

For example, take -2y - 4 > 18.

Add 4 to both sides. So... -2y - 4 + (4) > 18 + (4)

Now you get -2y > 22. Since y isn't by itself, let's divide both sides by -2.

So, (-2y / -2) > (22 / -2)

<u>Anytime you're dividing something by a negative, remember to FLIP THE SIGNS.</u> So instead of a greater than, it will now be a less than sign <.

Now you get, y < -11

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Answer: The answer is (D) y-1=\dfrac{3}{2}(x+3).

Step-by-step explanation:  We are given to find the equation of a line which is parallel to the line in the graph and passing through the point (-3, 1).

The points (-2, -4) and (2, 2) lie on the line in the graph, so its slope will be

m=\dfrac{2+4}{2+2}=\dfrac{6}{4}=\dfrac{3}{2}.

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y=1=m(x+3)\\\\\Rightarrow y-1=\dfrac{3}{2}(x+3),

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Read 2 more answers
You are in charge of buying food for your family reunion. You spent $90 on hamburgers and turkey burgers. you pay $1.50 for each
Sidana [21]

Answer:

The equation representing the given situation is  1.50 X + 2 Y = 90

Step-by-step explanation:

Let X be the number of hamburgers purchased.

The cost of 1 hamburger = $1.50

So, the amount spent on X burgers = X times (cost of each burger)

= X($1.50)  = 1.50 X

Y be the number of turkey burgers purchased.

The cost of 1 turkey burger  = $2

So, the amount spent on Y turkey burgers = Y times (cost of each burger)

= Y($2)  = 2 Y

Total amount spent on both type both burgers= $ 90

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or, 1.50 X + 2 Y = $90

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is  1.50 X + 2 Y = 90

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Answer:

Below in bold

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∫ dx / (x^2√(9-x^2))

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