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Volgvan
3 years ago
11

A scatter plot was constructed and a line of best fit was drawn, 25x 80. What is the equation of this best line of fit?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

y = 5x + 25

Explaination:

To get the equation of a line, first get the slope of the line.


Slope = (change in y)/(change in x)


          = (60-30)/(7-1)


          = 30/6


            = 5


Now use one point in the line (4,45) and a general point (x,y).


Slope = (change in y)/(change in x)


    5 = (y - 45)/(x - 4)


    5(x - 4) = (y - 45)


  5x - 20 = y - 45


y = 5x -20 + 45





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Find the area of this triangle
uysha [10]

Answer:

i think the answer is 67.5

3 0
3 years ago
You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
Help me plz, thanks.
adell [148]
It is going to be 3/10 because you simplify 6 blue/ 20 total marbles
6 0
3 years ago
Consider the equations 15x + 9y = 45 and 9x + 8y = 12. Solve the system of equations using elimination. Give your solution to th
True [87]

Answer:

(-5.77, 6.46)

Step-by-step explanation:

15x + 9y = 45 ----------- i

9x + 8y = 12----------------ii

Multiply equation i by 9 the coefficient of x in equ ii

And equation ii by 15 the coefficient of x in equ I

9 x 15x + 9y = 45 ----------- i

15 x 9x + 8y = 12----------------ii

135x+81y = 405

135x+120y= 180

Subtract equation ii from I

135x-135x+81y-(+120y)= 405-180

-39y=225

y = 225/-39 = -5.77

Insert the value of y in equ i

15x + 9y = 45

15x+9(-5.77) = 45

15x-51.92=45

15x = 45+51.92

15x= 96.92

x = 96.92/15= 6.46

(x,y) = (-5.77, 6.46)

x = 6.92/15

5 0
3 years ago
Terrion and Johnny are racing across the football field during practice. Terrion has run 89/100 of the field, and Johnny has run
stepan [7]

Answer:

They ran it equally

Step-by-step explanation:

89/100 equals 0.89: 89 divided by 100 = 0.89.

4 0
2 years ago
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