Which best describes the type of association shown in this scatter plot?

•no association
•non-linear association
•positive linear association
•negative linear association

The distance between the y-intercept of the function f(x)=3(2)ˣ and the y-intercept of the function g(x) for this case is given by: Option C: 8 units

The intersection of the graph of the function with the y-axis gives  y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Suppose the given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We're given that:

[tex]f(x) = 3(2)^x[/tex]

Its y-intercept is:

[tex]y = f(0) = 3(2)^0 = 3\times 1 = 3[/tex]

Assuming y = g(x) is a linear function, from the first two points [tex](x_1, y_1) = (-5,15)[/tex] and [tex](x_2, y_2) = (-2, 3)[/tex], we get:

[tex](y - 15) = \dfrac{3 - 15}{-2 - (-5)} (x -(-5))\\\\y -15 = -\dfrac{12}{3} (x+5)\\\\y-15 = -4x - 20\\y = -4x - 5[/tex]

Checking if really y = g(x) is linear or not by evaluating it on its rest of the points:

[tex]y = g(2) = -4(2) -5 =-8-5 = -13\\\\y = g(5) = -4(5) -5 = -25[/tex]

These outputs matches with the table output, so we can take:

[tex]g(x) = -4x -5[/tex]

Its y-intercept is:

[tex]y = g(0) = -4(0) -5 = -5[/tex]

The distance between 3 and -5 on the y-axis is the absolute difference between these values of y, evaluated as:

[tex]d = |3 - (-5)| = |8| = 8[/tex] units.

Thus, the distance between the y-intercept of the function f(x)=3(2)ˣ and the y-intercept of the function g(x) for this case is given by: Option C: 8 units.

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Answer:

c=4n

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

e

Answer:

the third one

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

easiest way to find is to look at "X value", and sub. 2 then the "Y value" and add 3

hope this helps :)

Answer:

B: -1/2x +3

Step-by-step explanation:

the graph is up 3 units, making the +3. Rise/run to determine slope. it rises 1 unit for every 2 units it runs. i

Answer:

9408,Is the only number that can divide into the same number to get exactly down to 1.

Step-by-step explanation:

Answer: 45 degrees

Step-by-step explanation:

It’s a square so every corner is 90 but it bangs to know half of it which is 45

Answer:

48 centimetres wide

Step-by-step explanation:

you are at 3

you enlarge it and you get 6

second enlargement you get 12

third enlargement you get 24

fourth enlargement you get 48

if you times 3 by 4 you are not doubling the width each time you enlarge the photo

so it is easier to double it each time you enlarge it

Answer:

8 units

(would really appreciate the brainliest)

Step-by-step explanation:

A lies on the same heightas B, wich makes it easy because you can ignore the y-Information (the second information in each bracket is the same).

so their distance is just the length of the line from -4 to 4

Answer:

8 units

Step-by-step explanation:

Answer:

65 degrees

Step-by-step explanation:

First, solve for the unknown angle( not the y's).

the angle 130 is supplementary to that angle so we will use an equation to solve it.  (supplementary means it adds up to 180 degrees)

x+130=180

 -130  -130

x      =   50           so, 50 is the measure of the interior angle

Now we have to use another equation to solve for y:

50+2y=180

-50      -50

2y      =  130

/2         /2

y     = 65

Thus, y is 65

So the right answer is 65 degree

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

61

Step-by-step explanation:

99 minus 38

Answer:

61 meters

Step-by-step explanation:

To find this answer, you need to subtract the length with trees from the total length of the course. With this information, you get an equation that looks something like x + 38 = 99, with x being the length of the course without trees.

Subtract 38 from both sides:

x + 38 = 99

  - 38   - 38

x = 99 - 38

Simplify:

x = 61

Answer:

B hope this helped:) (please tell me if it was right or wrong)

Answer:

6,840

Step-by-step explanation:

The total number of possible ways in which the position can be awarded are 1140.

We can write the combination expansion formula as -

f(n, r) = C(n, r) = n!/(n - r)!r!

Given is that there are 20 cars competing in a race. We have to find in how many possible ways can the cars be awarded first, second, and third place.

Total number of cars = {n} = 20

Total number of positions = {r} = 3

Total number of ways in which the position can be awarded -

C(20, 3) = 20!/(20 - 3)!3!

C(20, 3) = 20!/17!3!

C(20, 3) = (20 x 19 x 18 x 17!)/(17! x 3 x 2)

C(20, 3) = (20 x 19 x 18)/6

C(20, 3) = 20 x 19 x 3

C(20, 3) = 1140

Therefore, the total number of possible ways in which the position can be awarded are 1140.

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Answer:

its b

Step-by-step explanation:

Answer 234

hope helped

collect the like terms

2x + x -2x = 5/2+4 +5/8

X = 57/8

Answer:

the answer will be k^3

Step-by-step explanation:

Answer:

272 ft^2

Step-by-step explanation:

The lower rectangle is 10 ft by (12+8) or 20 ft

The area is

A = l*w = 10 *20 = 200 ft^2

The upper rectangle is 8 ft by (19 -10) or 9 ft

A = l*w = 8* 9 = 72 ft^2

The total area is 200 + 72 = 272

Answer:

(4, 10)

Step-by-step explanation:

It gives the x coordinate of 4. The y coordinate is found when you plug the x value into the equation. This makes it y = 3(4) - 2. This equals y = 10. So the y coordinate is 10

Answer:

the coordinates are (4,10)

Step-by-step explanation:

y = 3(4) - 2

y = 10

x = 4

Answer:

the answer is

mean of samples in row 1: 8

Mean of samples in row 2:  5

Mean of samples in row 3:  6

Mean of samples in row 4:   4

Answer:

Mean of samples in row 1:  

✔ 8

Mean of samples in row 2:  

✔ 5

Mean of samples in row 3:  

✔ 6

Mean of samples in row 4:  

✔ 4

I'm pretty sure it's A and D

Answer:

arithmetic

Step-by-step explanation:

Geometry is shapes ...

Answer:

The first one and the last

Step-by-step explanation:

Answer:

Step-by-step explanation:-)

Volume of a Rectangular prism :

                                                     Volume=Width×Height×Length

                                                     Volume=    3[tex]\frac{1}{2}[/tex]  ×     4[tex]\frac{1}{2}[/tex]   ×  2

Answer:

15

Step-by-step explanation:

3 120/10

Answer:

The answer is ( -1, 2) and ( 4,7 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 2x - 1 = x + 3

x^2 - 3x - 4 = 0

(x - 4)(x + 1)= 0

x - 4 = 0

x = 4

y= 4^2 - 2(4) - 1 = 16-8-1= 8-1= 7

(4, 7)

x + 1 = 0

x = -1

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

(-1,2)

answer is C

Answer:

2nd and 6th options

Step-by-step explanation:

y = |x+4| - 4 has a vertex of (-4, -4), and the vertex of the given graph is (3, 1). The shift between the first and second points given is 7 units to the left (6) and 5 units down (2)

The transformation that will change from f to g will be

Corner point of a function is the point where continuous function will not be differentiable.

here the function in the graph has the corner point at (3,1).

so now we have to transform the function f to function g where

g(x)= |x+4|-4

in the function g(x) the corner point will be the point where the value changes sudddenly.

so the corner point will be x+4=0

⇒x=-4

at x=-4, the value of the g(x)=|-4+4|-4=-4

so the corner point of function g will be (-4,-4).

Now the corner point of function f is (3,1).

Therefore to trnsform function f to g we have to first displace (3,1) to (-4,-4).

in x direction the displacement will be = -4-3 =-7 i.e.  horizontal shift left 7 units

in y direction the displacement will be =-4-1=-5 i.e. verical shift down 5 units

Therefore the transformation that will change from f to g will be

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Answer:

350 girls.

5 unit represents 250 girls and the 7 unit represents 350 boys

Step-by-step explanation:

Add 5+7 =12

600÷12=50

RATIO OF BOYS TO GIRLS IS 7:5   SO

50x5=250 GIRLS.

7*50=350

so 5 unit represents 250 girls and the 7 unit represents 350 boys.

Answer:7

Step-by-step explanation: