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Margaret [11]
3 years ago
13

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

-3x-6 < -33  and -3x-6 \geq -6

Step-by-step explanation:

we have

-33 > -3x-6 \geq -6

we know that

Compound inequality can be divided into two inequalities

so

-33 > -3x-6

rewrite

-3x-6 < -33

and

-3x-6 \geq -6

therefore

An equivalent form of the compound inequality is

-3x-6 < -33  and -3x-6 \geq -6

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Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x2 + 3x = 10 16. 4x2 = 100
andreyandreev [35.5K]
14.  (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0.  We can set each term equal to 0 to find the solutions:

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

15.  x^{2} +3x=10

To solve this equation, you first need to set it equal to 0:

x^{2} +3x=10 \\ x^{2} +3x-10 = 0

Next, it can be factored:

x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0

Finally, we can solve just like we did above:

x + 5 = 0
x = -5

x - 2 = 0
x = 2

16.  4x^2=100

First, you can simplify by dividing each side by 4:

4x^2=100 \\ x^2=25

Now, set the equation equal to 0:

x^2=25 \\ x^2-25=0

Next, factor:

x^2-25=0 \\ (x+5)(x-5)=0

Finally, find the solutions:

x + 5 = 0
x = -5

x - 5 = 0
x = 5
6 0
3 years ago
What is 3y-13=35 in math
jarptica [38.1K]
16. You add 13 to 35 which makes 3y=48. Then to get y by itself you have to divide both sides by 3. 48/3=16.
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3 years ago
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Tory is solving the equation shown correctly in her notebook, but the paper gets smudged, and she cannot read the last few lines
elena55 [62]

This question is incomplete because the options are missing. Here are the options:

A. - 4 = 5x

B. -4 = x

C. -4 + x = 0

D. -4 + 5x = 0

The correct next line of the solution is A. -4 = 5x

An equation is:

  • A mathematical expression that represents mathematical equality between two expressions.
  • It has two expressions and is separated by the equal sign, called members.
  • It has known elements and unknown or unknown data represented with letters like x

According to the above, it can be inferred that the correct answer is option A. because it expresses the correct values according to the operations that have been carried out in the previous lines.

Learn more in: brainly.com/question/10413253

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2 years ago
Which goes in which order
velikii [3]

4 x  (3+6) = 12 + 24 ---->Distributive

3 + ( 8 + 2) = 3 + (2 + 8) ---> Commutative

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The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th
Katen [24]

Answer:

The height of the lighthouse is 742.5\ ft

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

so

tan(68\°)=\frac{h}{300}

Solve for h

h=(300)tan(68\°)=742.5\ ft

7 0
3 years ago
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