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Neporo4naja [7]
3 years ago
10

Match the inequality to the number line that represents its solution

Mathematics
2 answers:
pav-90 [236]3 years ago
8 0
Tile 1 goes to graph D
Tile 2 goes to graph B
Tile 3 goes to graph A
Tile 4 goes to graph C

Desmos graphing calculator at desmos.com/calculator is a great tool.
Lelechka [254]3 years ago
4 0
<h2>Answer:     </h2>

<u>Number lines</u>                            <u> Inequality</u>

First                   ⇔              \dfrac{x}{4}\leq\dfrac{-3}{2}

Second             ⇔              \dfrac{-75x}{4}>\dfrac{225}{2}

Third                 ⇔              \dfrac{2x}{3}>\dfrac{-16}{3}

Fourth              ⇔              \dfrac{7x}{9}>\dfrac{-14}{3}

<h2>Step-by-step explanation:</h2>

Inequality 1. \dfrac{7x}{9}>\dfrac{-14}{3}

Multiply both sides by 9 , we get

7x>-42

Divide both sides by 7, we get

x>-6 which is shown by the fourth number line.

Inequality 2. \dfrac{-75x}{4}>\dfrac{225}{2}

Multiply both sides by 4 , we get

-75x>450

Divide both sides by -6, we get

x which is shown by the second number line.

Inequality 3. \dfrac{x}{4}\leq\dfrac{-3}{2}

Multiply both sides by 4 , we get

x\leq-6 which is shown by the first number line.

Inequality 2. \dfrac{2x}{3}>\dfrac{-16}{3}

Multiply both sides by 3 , we get

2x>-16

Divide both sides by 2, we get

x>8 which is shown by the third number line.

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The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

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Step-by-step explanation:

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the second and last one

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You have to figure out which of the choices equals the equation given,
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