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Ostrovityanka [42]
3 years ago
9

3x+2y=12 In function notation

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

f(x) = (-3/2)x + 6

Step-by-step explanation:

Let x be the independent variable and y the dependent one.

Solving 3x+2y=12 for y, we first get 2y = -3x + 12. Then

y = (-3/2)x + 6.  Replacing 'y' with 'f(x)', we have:

f(x) = (-3/2)x + 6, which is 3x+2y=12 when y is the dependent variable.

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What are period and amplitude for the function
sweet [91]

Answer: Period: 4. Amplitude: 3

Step-by-step explanation: The period is how long it takes for one cycle of the function (one up and down). In this graph, one cycle ends at 4.

The amplitude is how far away the extremes of the graph are from the midline. This graph is a total of 6 units tall, making the amplitude 3. (I usually find total graph height and divide by 2.)

5 0
2 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
How do you write 125% as a fraction mixed number or whole number
Alex_Xolod [135]

Answer: Below

Step-by-step explanation:

125% is essentially 1.25 or 125/100.

In mixed number form it's:

1\frac{1}{4}

5 0
2 years ago
Read 2 more answers
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee
Lunna [17]

Answer:

=13.73 ft²

Step-by-step explanation:

The diameter of the largest possible circle that can be cut out of  a square is equal to the length of the side of the square.

Therefore the diameter of the circle cut from a square of side 8ft =8ft

r=4ft

Area of the remaining board= Area of square- area of circle

=side²-πr²

=8²-π×4²

=64-16π

=13.73 ft²

6 0
3 years ago
Graph this function:<br> y= 5x - 18
lutik1710 [3]
The graph is shown below. 

5 0
3 years ago
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