Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11

A. -2 ≤ x ≤ 5

B. x ≤ -2 OR x ≥ 5

C. x ≤ -15 OR x ≥ 12

D. x ≥ 5

Thank you!

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We have the compound inequality:

[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]

Since this is an “OR” inequality, we can solve each inequality individually. So:

1)

We have:

[tex]5x+7\leq-3[/tex]

Subtract 7 from both sides:

[tex]5x\leq -10[/tex]

Divide both sides by 5:

[tex]x\leq-2[/tex]

So, the first solution is above.

2)

We have:

[tex]3x-4\geq 11[/tex]

Add 4 to both sides:

[tex]3x\geq15[/tex]

Divide both side by 3:

[tex]x\geq5[/tex]

Our second solution is above.

Therefore, our solution is:

[tex]x\leq -2 \text{ or } x\geq5[/tex]

Since our original inequality is “OR,” our solution set remains an “OR.”

Hence, our answer is B.


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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

sin M = [tex]\frac{3\sqrt{11} }{18} = \frac{\sqrt{11} }{6}[/tex]

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Answers

Answer:

38. x = 60

40. x = 10

Step-by-step explanation:

38.

The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.

x = 2 * 30 = 60

40.

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A survey of 100 parks showed the following.
37 had camping.
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69 had hiking trails. 33 had hiking trails and biking paths.
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22 had camping and biking paths.

Answers

Answer:

A) 2

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c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

A circle has a radius 30 cm. What is the area? Show your
work.

Answers

Answer:

I believe the area = 2,826

Step-by-step explanation:

A=pie×radius²

A= 3.14×30²

A=3.14×900

A=2,826

A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many cups of flour will you need if you halve the recipe?

Answers

Answer : 3 cups

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Answers

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Answer:

You:  6

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Step-by-step explanation:

u-U sincerely~ MiHa

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

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Answer: 54

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Answer Choices:
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8

9

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Answers

Answer:

x = -11

Step-by-step explanation:

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x = -11

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Answers

Answer:

x=10

Step-by-step explanation:

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A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

20% of 42 is 8.40. Subtract that from 42 to get your answer.

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Answers

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Answer:

D

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

hope it helps! gl

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Answers

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Answer:

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Answers

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Is all

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Answers

Answer:

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7) y = -5.75 < x < -3.5

8) y = 1 > x > 2.25

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Step-by-step explanation:

Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.



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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

1.) (x+2) (x+4) (x-4)

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

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[tex]y = mx+b[/tex]

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Given points are:

[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

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Putting m=-2/3 in equation

[tex]y= -\frac{2}{3}x+b[/tex]

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Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

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