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bixtya [17]
2 years ago
8

Where do i graph? please send picture of your own for me to copy

Mathematics
1 answer:
melomori [17]2 years ago
7 0

Answer:

Step-by-step explanation:

Compound inequality has been given as,

12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6

By simplifying it further,

12(2x - 10) + 24 ≥ 48

\frac{12(2x - 10)}{12}+\frac{24}{12}\geq \frac{48}{12}

(2x - 10) + 2 ≥ 4

(2x - 10) + 2 - 2 ≥ 4 - 2

2x - 10 ≥ 2

2x - 10 + 10 ≥ 2 + 10

2x ≥ 12

\frac{2x}{2}\geq \frac{12}{2}

x ≥ 6

6x + 15 - 9x ≥ 6

(6x - 9x) + 15 ≥ 6

(-3x) + 15 ≥ 6

-3x + 15 - 15 ≥ 6 - 15

-3x ≥ -9

3x ≤ 9

x ≤ 3

We have to plot the inequality on a number line

x ≥ 6 Or x ≤ 3

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Divide 14 by v. Then, subtract 7.
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Answer:

14-7v

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Step-by-step explanation:

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3 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
Help ASAP for BRAINLIEST!!!!
xenn [34]

Answer:

1/2

Step-by-step explanation:

1/4 (4x - 8) + 3x =0

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x-2+3x=0

combine like terms

-2+4x=0

move -2 to the other side [by ADDing +2 to each side

4x=2

divide [by 4 on both sides]

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6 0
2 years ago
Estimate the product of 37 x 62 = ________. Select the equation that correctly represents how to round each factor. (2 points)
irina1246 [14]
It’s the first one 40 times 60
7 0
2 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
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