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Zanzabum
2 years ago
11

Your friend won't get many stars like this! What changes would you make to the equation to help your friend collect all the star

s? Why are those changes going to work
Mathematics
1 answer:
algol [13]2 years ago
6 0

The required equation that represents the line of best fit is y = 2x + 4

<h3>Finding the equation of a line of best fit.</h3>

A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

From the given scatters plot, we only need to choose two points that aligns properly and create an equation of a line using the coordinates.

Using the following points (4, 12) and (2, 8)

The equation of the line will be in the form y = mx + b

where

m is the slope

b is the y-intercept

<u>Determine the slope</u>

Slope = y2-y1/x2-x1

Slope = 8-12/2-4
Sope = -4/-2
Slope = 2

<u>Determine the y-intercept</u>

Using the coordinate point (2, 8) and m = 2

8 = 2(2) + b

b = 8 - 4

b = 4

Hence the required equation that represents the line of best fit is y = 2x + 4

Learn more on line of best fit here: brainly.com/question/17013321

#SPJ1

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What represent the relationship between the total mass of a crate
sineoko [7]

9514 1404 393

Answer:

  (a)  M = 0.25n +100

Step-by-step explanation:

The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).

The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...

  slope = rise/run = 25/100 kg/CD = 0.25

Then the equation describing the points on the graph will be ...

  M = 0.25n +100

5 0
3 years ago
What is the y-intercept of this graph?
melisa1 [442]

Answer:

The Y-intercept is 0.

Step-by-step explanation:

5 0
3 years ago
Heather's employer pays 80% of her health insurance premium. If the annual premium is $2447.25 and she is paid weekly, how much
FrozenT [24]

Answer:

37.65

Step-by-step explanation:

Take 2447.25, divide by 52 (there are 52 weeks in a year) and mutiply by 0.8 (80%), and then you have the answer!

8 0
3 years ago
Solve the system of equations.
Alenkasestr [34]

Step-by-step explanation:

<u>Step 1:  Substitute x from the second equation into the second one</u>

2x - 9y = 14

2(-6y + 7) - 9y = 14

(2 * -6y) + (2 * 7) - 9y = 14

-12y + 14 - 9y = 14

-21y +14 - 14 = 14 - 14

-21y/-21 = 0 / -21

y = 0

<u>Step 2:  Substitute y into the second equation</u>

x = -6y + 7

x = -6(0) + 7

x = 0 + 7

x = 7

Answer:  x = 7, y = 0

4 0
4 years ago
Read 2 more answers
t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download
Vitek1552 [10]
She would be able to download 49 at this rate.
Because 5/35 =7/n which would then =245/5 which equals 49
8 0
4 years ago
Read 3 more answers
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