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solmaris [256]
3 years ago
11

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

raph of the following inequality:
y > one half x + 2 (5 points)


The origin is not included in the shaded region and the shaded area is above the line.

The origin is not included in the shaded region and the shaded area is below the line.

The origin is included in the shaded region and the shaded area is above the line.

The origin is included in the shaded region and the shaded area is below the line.

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

The correct option is

The origin is included in the shaded region and the shaded area is below the line.

Step-by-step explanation:

Y>3/2x + 2

Put x=0

Y= 2

(0,2)

Put y=0

X= -4/3

(-4/3,0)

See attached picture for the sketch

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Answer:

f(x) = 0.5x + 5

Domain: positive whole numbers

Range: f(x) ≥ 5

Step-by-step explanation:

Let's x denote the total number of fruit juice.

This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.

Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:

f(x) = 0.5x + 5

The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").

The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.

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Answer:

12 months because $50 for 12 months is $600

Step-by-step explanation:

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Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many
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A. 12 x 3/4

Step-by-step explanation:

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2 years ago
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Solve this problem, and identify the percent, amount, and base.<br> What percent of 60 is 15?
ValentinkaMS [17]
First, you must understand the question. what % of 60 is 15, so I would write an equation to express this.

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Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B21%20-%204x%7D%7B9%7D" id="TexFormula1" title="\frac{21 - 4x
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Answer:

x = -\frac{12}{5}

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.  

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\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\

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Thus, x = -\frac{12}{5}.

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