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2 years ago

Given y=3x - 4, write an equation that is shifted down 10 and is less steep.

Mathematics

1 answer:

antoniya [11.8K]2 years ago

3 0

Answer:

y = ½x - 14

Step-by-step explanation:

Given the linear equation, y = 3x - 4, where the slope, m = 3, and the y-intercept is (0, -4):

The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < m < 3. (a negative slope will show a declining line).

Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).

The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14. You're more than welcome to choose a different slope, as long as it is less than 3, but is greater than 0 (must be a positive slope).

Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.

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URGENT PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER ABC factory brought a pile of coal. If the factory burns 1500 kilogram

wolverine [178]

Solving a system of equations, we will see that there are 6000 kg of coal on the pile.

<h3>How many kilograms of coal are in the pile of coal?</h3>

Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.

We know that:

If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
If it burns 1000 kilograms per day, it will take an additional day than planned.

Then we can write the system of equations:

(1500)*(D - 1) = N

(1000)*(D + 1) = N

Because N is already isolated in both sides, we can write this as:

(1500)*(D - 1) = N = (1000)*(D + 1)

Then we can solve for D:

(1500)*(D - 1) = (1000)*(D + 1)

1500*D - 1500 = 1000*D + 1000

500*D = 2500

D = 2500/500 = 5

Now that we know the value of D, we can find N by replacing it in one of the two equations:

(1500)*(D - 1) = N

(1500)*(5 - 1) = N

(1500)*4= N = 6000

This means that there are 6000 kilograms of coal on the pile.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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2 years ago

Ahahhajdockdndn help

Elina [12.6K]

Domain: 6,-5,-1
Range: 2, 0, 2

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3 years ago

Jane is trying to estimate the average electric bill amount of people who live in Las Cruces in summer time. She randomly select

Lina20 [59]

Answer:

The estimated average electric cost amount of all residents in Las Cruces = 182.9

Step-by-step explanation:

The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be

135 265 215 103 156 203 125 156 230 241

Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.

This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.

Sample mean ≈ Population mean

μₓ = μ

Mean = = (Σx)/N

The mean is the sum of variables divided by the number of variables

x = each variable

N = Sample size = 10

Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829

Sample mean = (1,829/10) = 182.9

Population mean ≈ sample mean

Population mean ≈ 182.9

Hope this Helps!!!

8 0

3 years ago

Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.998¯¯¯¯¯¯¯¯.

Nookie1986 [14]

Answer:

998/1000

499/500 simplified

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3 years ago

Read 2 more answers

Tamara texted a photo of a dolphin to 5 friends. She asked each of her 5 friends to text the photo to 5 more friends. The photo

Andreyy89

So 5
then 5 times 5
then 5 times 5 times 5
so it seems that for x rounds, there will be 5^x

A: 4 rounds so 5^4=625 photos
B. see how many times 5 goes into 78125. the answer is 7 so 7 rounds
C. 1 million=1,000,000 so try big numbers
5^10=9,765,625 too big
5^9=1,9,53,125 too big
5^8=390625 too small
the minimum is 5^9 or 9 rounds

A:4
B:7
C:9

4 0

3 years ago