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2 years ago

Which of the following is the graph of f(x) = 3x - 4[ + 1?

Mathematics

1 answer:

Julli [10]2 years ago

5 0

Answer:

The first answer choice I think

Step-by-step explanation:

to the right 4 units

up one

vertical compression by 3

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20y-10x=5 in slope intercept form can you explain the steps

Studentka2010 [4]

Given:

The equation is

$20y-10x+5$

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

$y=mx+b$

Where, m is slope and b is the y-intercept.

We have,

$20y-10x=5$

We need to isolate y. Add 10x on both sides.

$20y-10x+10x=5+10x$

$20y=5+10x$

Divide both sides by 20.

$\dfrac{20y}{20}=\dfrac{5+10x}{20}$

$y=\dfrac{5}{20}+\dfrac{10x}{20}$

$y=\dfrac{1}{4}+\dfrac{x}{2}$

$y=\dfrac{1}{2}x+\dfrac{1}{4}$

Therefore, the slope intercept form of the given equation is $y=\dfrac{1}{2}x+\dfrac{1}{4}$ .

4 0

2 years ago

The cost of painting a wall that is 5 meters wide and 212 meters tall is $50. How many square meters can be painted for $1?

tigry1 [53]

Answer:

21.2 square meters

Step-by-step explanation:

The area of a parallelogram is base • height.

So:

1. Calculate the area of what you can get for $50. 5 • 212 = 1060 square meters.

2. Now you divide the first price ($50) by the desired price ($1). This one is easy because 50 / 1 = 50, but I'm putting this here for future reference in case you need to solve a problem that has a desired price that's greater than $1.

3. Divide the answer to step one by the answer to step two to get the area you can have painted for $1. 1060 / 50 = 21.2 square meters.

3 0

2 years ago

Dylan has a square piece of metal that measures 10 inches on each side. he cuts the metal along the diagonal, forming two right

Artemon [7]

You need to use the Pythagorean theory. a² + b² = c². So you would end up with 10²+10²=c². So, 10²=100, therefore you would end up with 200=c². In order to find the length of the hypotenuse, you need to find C. To do this, you need to undo the square and find the square root of 200 and C. So, you would get √200=√c² which would equal 14.1 inches. Then, if needed to check the answer, plug the 10,10,and 14.1 back into the a²+b²=c² and it should make the statement true.

5 0

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:

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

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

13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year

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)

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

8 0

3 years ago

Find the height of a triangle with an area of A of 56 square inches and a base (b) of 8 inches use the formula for the area of a

levacccp [35]

the height is 14 square inches

5 0

3 years ago