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Gemiola [76]
3 years ago
5

Which graph represents the solution set for –4(1 – x) ≤ –12 + 2x?

Mathematics
1 answer:
padilas [110]3 years ago
5 0

-4(1-x)\leq-12+2x\qquad\text{use distributive property}\\\\(-4)(1)+(-4)(-x)\leq-12+2x\\\\-4+4x\leq-12+2x\qquad\text{add 4 to both sides}\\\\4x\leq-8+2x\qquad\text{subtract 2x from both sides}\\\\2x\leq-8\qquad\text{divide both sides by 2}\\\\\boxed{x\leq-4}

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A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is expressed as

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The volume of the given sphere is expressed as 288π inches³. It means that

(4/3) × πr³ = 288π

4r³/3 = 288

4r³ = 3 × 288 = 864

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Taking cube root of both sides, it becomes

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The formula for determining the surface area of a sphere is expressed as

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3 years ago
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Nookie1986 [14]
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
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Answer:

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Step-by-step explanation:

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