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3 years ago

Solve the compound inequality 9x ≤ –27 or 4x ≥ 36.

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

x ≤ – 3 or x ≥ 9.

Step-by-step explanation:

Given : 9x ≤ –27 or 4x ≥ 36.

To find : Solve the compound inequality.

Solution : We have given 9x ≤ –27 or 4x ≥ 36.

For 9x ≤ –27 .

On dividing both sides by 9.

x ≤ – 3.

For , 4x ≥ 36.

On dividing both sides by 4.

x ≥ 9.

We can write x ≤ – 3 or x ≥ 9.

Therefore, x ≤ – 3 or x ≥ 9.

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Which number line best represents the solutions to 7 < -2x + 3?

Natasha2012 [34]

Answer:

B or D

Step-by-step explanation:

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2 years ago

If the radius of a circle is 24 feet, what is the diameter? PLZ HRLP I HAVE TO SUMBIT IN 30 MIN

Romashka-Z-Leto [24]

Answer:

d=2r= 2·24=48ft

Step-by-step explanation:

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3 years ago

Determine the perimeter of a triangle with sides that measure 16.2 inches, 10.04 inches and 12.2 inches.

Ksju [112]

Answer:

Step-by-step explanation:

Solution,

The perimeter of a triangle=Sum of all sides

$16.2in+10.04in+12.2in\\=38.44inches$

Hope it will help you a lot.

5 0

2 years ago

A leaking faucet drips into a bucket. The faucet drips at a constant rate. The level of water in the bucket rises

Sveta_85 [38]

Answer:

The per hour rate is 0.5 inches per hour

Step-by-step explanation:

Here, we want to calculate the rate at which the level of the water increased

Mathematically, we can get this by dividing the amount of increment by the time it took

That would be 3 inches divided by 6 hours

= 3/6 = 0.5 inches per hour

7 0

3 years ago

confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

8 0

2 years ago