The equation of the line of best fit of a scatter plot is y = −8x + 3. What is the the y-intercept? −8 −3 3 8

Answers

Answer 1
Answer:

The value of the y-intercept for the equation is 3.

What are Scatter plots?

The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane. The X-axis is used to represent the independent variable or attribute, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

Given the equation of the line,

y = -8x + 3

the equation of a line is given by y = mx + c

where m is slop and c is the y-intercept

we can  calculate the y-intercept at x = 0

y = -8x + 3

x = 0

y = 3

Hence y-intercept is 3.

Learn more about Scatter plot;

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Answer 2
Answer: to find the y-int set x equal to 0
so y = -8(0) + 3
y = 3
so the answer is 3

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State the next term of each sequencea) 1, 16, 81, 256....b) 1, 1, 2, 4, 7, 13, 24....

Round 4745 to the nearest thousand

Answers

Answer:

5000

Step-by-step explanation:

4745 is closer to 5000 than 4000 because it's over 4500

A character who changes during the course of the story is _____.flat
round
static
dynamic

Answers

A character who changes during the course of the story is a dynamic character.
Hope that helps! :) 

I would say dynamic is the answer.

The Ross family and the Russell family each used their sprinklers last summer. The water output rate for the Ross family's sprinkler was 35L per hour. The water output rate for the Russell family's sprinkler was 30L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1725L. How long was each sprinkler used?

Answers

Answer:

Ross = 15 hours

Russel = 40 hours

Step-by-step explanation:

Let Ross have used their sprinklers for x hours

Let Russell  have used their sprinklers for y hours

Together they used 55 hours

x+y = 55 hours

The output of Ross is 35 liters per hour and Russell is 30 liters per hour for a total of 1725

35x + 30y = 1725

Multiply the first equation by -30

-30(x+y=55)

-30x -30y = -1650

Add this to the second equation to eliminate y

-30x -30y = -1650

35x + 30y = 1725

-----------------------------

5x =75

Divide each side by 5

x = 15

Now find y

x+y = 55

y = 55-15

y = 40

The table below represents a linear function f(x) and the equation represents a function g(x).. . Table:. x f(x). 0 30. 1 32. 2 34. . Equation:. g(x). g(x)=8x-25. . Part 1. Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).. . Part 2. Which function has a great y-intercept?. . Please help!

Answers

x   f(x)
0   30
1   32
2   32

g(x) = 8x - 25

y = mx + b  ⇒ where m is the slope and b is the y-intercept

30 = m(0) + b 
b = 30

32 = m(1) + 30
32 - 30 = m
2 = m

The y-intercept of the following equations are:
f(x) = 30
g(x) = -25

The slope of the following equations are:
f(x) = 2
g(x) = 8

f(x) has a greater intercept than g(x).

Chip drank a cup of coffee with 140 milligramsof caffeine. If the caffeine is eliminated from his
body at a rate of 9.5% per hour, how much
caffeine will be in his body from this cup of
coffee 6 hours from now?

Answers

Answer:

it should be 43 percent left

Step-by-step explanation:

two cars leave an intersection at the same time, one travelling at 70km/h along one road and the other car travelling at 80km/h along the other road. After 2 hours they are 218 km apart. At what angle, to the nearest minute, do the roads meet at the intersection.

Answers

v_1=70\ km/h\nv_2=80\ km/h\nt=2h\n\nv=(s)/(t)\to s=vt\n\ns_1=70\ km/h\cdot2h=140\ km\ns_2=80\ km/h\cdot2h=160\ km\n\nlook\ at\ the\ picture


218^2=140^2+160^2-2\cdot140\cdot160\cdot cos\alpha\n\n47524=19600+25600-44800cos\alpha\n\n47524=45200-44800cos\alpha\n\n44800cos\alpha=45200-47524\n\n44800cos\alpha=-2324\ \ \ \ /:44800\n\ncos\alpha\approx-0.051875\Rightarrow\alpha\approx92^o58'