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Given :   A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).

To find :  From Which two points the line of best fit goes through

Solution:

(3, 8) &  (5, 12) will be two points

as then line  points will be

( 1 ,  4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12)  & ( 6 , 14)

(1, 3)   will be below ( 1 ,  4 )

(2 , 7) will be above ( 2 , 6)

( 3 , 8 ) will be on line

(4 , 11 ) will be above ( 4 , 10)

( 5 , 12  ) will be on line

( 6 , 13)  will be below ( 6 ,  14 )

(1, 3)  & ( 6 , 13)  two points are below line

(2 , 7) & (4 , 11 )  two points above line

Hence points are Equally scattered above  & below line

Hence (3, 8) &  (5, 12) will be two points on   line of best fit

Hope it helpss !!

The two points which  the line of best fit go through to best represent the data in the scatter plot is Option A.

The points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be A

Let the two points be A and B

where the point A is A ( x₁ , y₁ ) = A ( 2 , 7 )

The point B ( x₂ , y₂ ) = B ( 1 , 3 )

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

m = ( 7 - 3 ) / 2 - 1 )

m = 4

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = 4 ( x - 2 )

y - 7 = 4x - 8

y = 4x - 1

The equation of line is y = 4x - 1

So , the points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

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Answer:

A

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. (x² - 4x - 10) + (x² - 9x + 3)

=  x² - 4x - 10 + x² - 9x + 3

=  x² + x² - 4x - 9x + 3 - 10

4. (3x² - x + 1) + (15 - 9x - 2x²)

=  3x² - x + 1 + 15 - 9x - 2x²

= 3x² - 2x² - x - 9x + 1 + 15

7.  (6 - 2x + 7x²) - (10x - 3 + 3x²)

=   6 - 2x + 7x² - 10x + 3 - 3x²

=  7x² - 3x² - 2x - 10x + 6 + 3

Answer:

$49.12

Step-by-step explanation:

Answer: They have lost 9 games

Step-by-step explanation:

25 percent is 1/4 and do 36 divided by 4=9

Answer:

A negative integer and makes stuff subtract

Step-by-step explanation:

Answer:0.64

Step-by-step explanation:

Answer:

y=-1/9x+2.44

Step-by-step explanation:

m=y2-y1/x2-x1

1-2=(-1)

(-5)-4=(-9)

-1/9

y=mx+b

2=-1/9(4)+b

-1/9*4=-0.44444444444

-0.444.... rounded is -0.44

(-0.44)-(-0.44) =0

2-(-0.44 )=2.44

y=-1/9x+2.44

hope this helps

sorry if im wrong i had a lil trouble on this one :(

Answer:

the answer is 2

Step-by-step explanation:

Answer:

The measure of the outside angle is the sum of the two inside angles:

68+52=120

Or you could do it the long way and find the third angle inside the triangle then do 180 minus that but this is easier.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

(1 + (-2-5))^2+-3X4

(1+(-3))^2 + -12

-3^2 -12

9-12

-3

Answer:

Step-by-step explanation:

1. f(x) = x^2 + 2

2. f(x) = 2x - 10

3. It is linear function as y- is an arithmetic sequence

4. As per the pairs we can determine the function:

5. The graph is parabola

6. Undefined as not clear what is it

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

The trigonometry identity is given as:

tan(2x)

When the tangent formula is applied, we have:

[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4

Expand sin(2x) and cos(2x)

[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3

The option from the list that obey the above order is (a) 4, 3, 5, 1, 2

Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

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Answer:

A). 4,3,5,1,2

Step-by-step explanation: on edge

a) The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

b)The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

We have given that the function

[tex]f(x) = 4.50x + 25[/tex]

A florist charges $25

Now we have given condition the cost is raised to 35$

We use we use the slope intercept form

What is the slope intercept form?

[tex]y=mx+C[/tex]

y is function f(x) C=vase cost, and m= charge per flower

Therefore we get,

[tex]y=f(x),m=4.50 and c=25[/tex]

we have given condition C=35$

So  the  line will just move up to have a y-intercept at (0,35) the equation will be,

[tex]y=4.5x+35[/tex]

Therefore,

The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

We have given that the charge per flower is lowered to 3$

So the slope

[tex]m=3[/tex]

Here the m value is being changed so your line will just flatten out a bit and the new equation will be

[tex]y=3x+25[/tex]

The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

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Answer:

0.875

Step-by-step explanation:

Answer:

0.875 and 87.5%

Step-by-step explanation:

Answer:

Angelo has $3 dollars left

Step-by-step explanation:

$1.05+$1.45= 2.50

$5.50-$2.50= $3

Answer:

$3

Step-by-step explanation:

$5.50 - $1.05 = $4.45

$4.45 - $1.45 = $3.00

Answer:

[tex]Percent = \frac{100a}{b}\%[/tex]

Step-by-step explanation:

Given

[tex]\frac{a}{b}[/tex]

Required

Convert to fraction

To do this, we simply multiply the fraction by 100%

This gives:

[tex]Percent = \frac{a}{b} * 100\%[/tex]

[tex]Percent = \frac{a * 100}{b}\%[/tex]

[tex]Percent = \frac{100a}{b}\%[/tex]

The expression cannot be further simplified.

Take for instance the fraction is: [tex]\frac{2}{5}[/tex]

Using the same analysis, the percentage would be:

[tex]Percent = \frac{2}{5} * 100\%[/tex]

[tex]Percent = \frac{2 * 100}{5}\%[/tex]

[tex]Percent = \frac{200}{5}\%[/tex]

[tex]Percent = 40\%[/tex]

Answer:

100(a divided by b)

Step-by-step explanation:

hope this helps tell me if im wroung

Answer:

27.55

Step-by-step explanation:

4.75 times 5.80 is 27.55

Hope it helps!

If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.

What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.

Answer:

It is not a function.

Step-by-step explanation:

A relation's inputs are not repeated in a function.

Since the graph fails the vertical line test, it is not a function.

See picture.

Hope this helps.

Answer:

Step-by-step explanation:

list the side lengths of the triangle in order from longest to shortest

from the given triangle.

       ∠A = 180 - 65 - 30

      ∠A = 85

angle side relationship theorem:

In a triangle, the side opposite the larger angle is the longer side

Answer:

11 is the mode

Step-by-step explanation: it appears the most

Answer:

A

Step-by-step explanation:

Answer:

John:discount was57.978, he paid231.912

Sam:discountwas74.9975, he paid 224.9925

Step-by-step explanation:

28.989=10

57.978 =20                 100%-20%= 231.912

29.999=10%

14.9995=5%             10%×2   + 5%=74.9975            100%-25%

Answer:

16 the answer

Step-by-step explanation:

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Answer:

d) all real numbers

Step-by-step explanation:

Answer:

D. all real numbers

Step-by-step explanation:

4(x + 3) - 7 >= x + 3(x + 1)

4x + 12 - 7 >= x + 3x + 3

4x + 5 >= 4x + 3

5 >= 3 which is correct

so the solution are all real numbers.

I hope this helps you :)

Step-by-step explanation:

 Given data:

         Cars      Vans    Others

          60          21          3

The data represents the number of cars on a single day.

Find the relative frequency;

It is the number of times an event occurs.

Here the time frame is within a day;

  Relative frequency = [tex]\frac{number of cars + number of vans + others}{number of days}[/tex]  

  Relative frequency  = 60 + 21 + 3  = 84vehicles per day

ii.

Number of vans in a week;

      Number vans  in a week  = 21van per day x 7 days  = 147vans