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Alex777 [14]
2 years ago
12

Quick algebra 1 question for 10 points!

Mathematics
2 answers:
andreyandreev [35.5K]2 years ago
3 0

Answer:

\textsf{D. }x\leq-2

Step-by-step explanation:

<u>Given inequality:</u> 3(x+2)\leq5(-2-x)

Step 1: Distribute 3 and 5 through the parentheses.

\implies 3(x)+3(2)\leq5(-2)+5(-x)

\implies 3x+6\leq-10-5x

Step 2: Subtract 6 from both sides.

\implies 3x+6-6\leq-10-6-5x

\implies 3x\leq-16-5x

Step 3: Add 5x to both sides.

\implies 3x+5x\leq-16-5x+5x

\implies 8x\leq-16

Step 4: Divide both sides by 8.

\implies \dfrac{8x}{8}\leq\dfrac{-16}{8}

\implies x\leq-2

nadezda [96]2 years ago
3 0

Answer:

x ≤ -2

Step-by-step explanation:

3(x + 2) ≤ 5(-2 - x)

Distribute on both sides.

3x + 6 ≤ -10 - 5x

Add 5x to both sides.

8x + 6 ≤ -10

Subtract 6 from both sides.

8x ≤ -16

Divide both sides by 8.

x ≤ -2

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From the answer choices it will be:

V = π(6)²(6)
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So the answer is answer choice B.

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Step-by-step explanation:

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A market survey shows that 50% of the population used Brand Z computers last year, 4% of the population quit their jobs last yea
faltersainse [42]

Answer:

the events of using Brand Z computers and quitting your job are independent.

Step-by-step explanation:

Let A be the event that the population used Brand Z computers and let B be the event that the population quit their jobs.

We are told that 50% of the population used Brand Z computers last year. Thus, the probability of event A is;

P(A) = 50% = 0.5

Also, we are told that 4% of the population quit their jobs last year. Thus the probability of event B is;

P(B) = 4% = 0.04

Since 2% of the population used Brand Z computers and then quit their jobs. Then the probability of the population used Brand Z computers and then quit their jobs is;

P(A ∩ B) = 2% = 0.02

From the law of independent events, if A and B are to be independent events, then;

P(A ∩ B) = P(A) × P(B)

Thus;

P(A ∩ B) = 0.5 × 0.04 = 0.02

This is same value as what was given in the question, thus the events of using Brand Z computers and quitting your job are independent.

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3 years ago
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