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3 years ago

What is the equation of the trend line?k+j

Mathematics

2 answers:

Kaylis [27]3 years ago

8 0

Answer: The equation of the trend line is y = -2x + 24.

First, we need to find the slope. The slope is the change in y over the change in x between the points. Our points move down 4 units while moving right 2 units. So our slope would be -4/2 or just -2.

Second, we need to find the y-intercept. We are lucky because the y-intercept can be see clearly in the graph. It is (0, 24).

We can put the slope and y-intercept together to get the equation:
y = -2x + 24.

tino4ka555 [31]3 years ago

7 0

Answer:k= -2 j + 28

Step-by-step explanation:

This was the corrected answer after that 24 is wrong it's 28

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Solve the following system of equations: 2x + 4y − 3z = −7 3x + y + 4z = −12 x + 3y + 4z = 4

lukranit [14]

2x + 4y − 3z = −7 ---> first equation

3x + y + 4z = −12 ---> second equation

x + 3y + 4z = 4 ---> third equation

We try to eliminate z and make two equations

Multiply first equation by 4 and second equation by 3. then add both equations

8x + 16y -12z = -28

9x + 3y +12z = -36

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

17x + 19y = -64 ---------------> equation 4

multiply third equation by -1 and add second and third equation

3x + y + 4z = −12

-x - 3y - 4z = -4

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

2x -2y = -16 ---------------> equation 5

Multiply equation 4 by 2 and equation by 19

34x + 38y = -128

38x - 38y = -304

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

72x = -432

Divide by 72 on both sides

x = -6

use equation 2x -2y = -16 ---------------> equation 5

2(-6) - 2y = -16

-12 -2y = -16

-2y = -4

So y = 2

Now plug in 2 for y and -6 for x

Using any one of the three equations

x + 3y + 4z = 4

-6 + 3(2) +4z = 4

4z = 4 (divide by 4 on both sides)

So z=1

So x= -6, y = 2 and z= 1

4 0

3 years ago

Read 2 more answers

What is the area of this triangle? A=bh2 17 m² 30 m² 60 m² 120 m²

e-lub [12.9K]

A = 1/2 x bh
A = 1/2 x 5 x 12
A = 6 x 5
A = 30m

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!!

allsm [11]

Answer/Step-by-step explanation:

Part A: Net A is the correct net. If we decide to fold the net, we'd get the shape of the prism. Folding back net B won't give us the shape of the prism because of the position and arrangement of the right triangular bases.

Part B:

AB = 3in

BC = 5 in

CD = 9.4 in

Part C: surface area of the prism can be calculated by calculating the area of each part of the net, and summing them together as follows,

Area of the 2 triangular bases = 2(½*base*height of triangle) = 2(½*4*3) = 2*2*3 = 12 in²

Area of the three rectangles =

$= (9.4*4) + (9.4*3) + (9.4*5) = 37.6 + 28.2 + 47 = 112.8 in^2$

Surface area of prism = 12 + 112.8 = 124.8 in²

4 0

2 years ago

Help Use the Distributive Property to rewrite the expression -8(a + b) =

Delicious77 [7]

Answer:

$-8a-8b$

Step-by-step explanation:

You would first distribute -8 into the parenthesis:

$a(-8)+b(-8)\\-8a-8b$

7 0

2 years ago

Could you help me on this please !

Sergeu [11.5K]

Answer:

1 is allowed on the elevator.

2 is allowed on the elevator.

3 is allowed on the elevator.

4 is not allowed on the elevator.

5 is allowed on the elevator.

Step-by-step explanation:

If the maximum weight capacity of the elevator is 750 pounds, then that means every weight that is 750 pounds or less is allowed on the elevator.

1 is allowed because 700lbs is lower than 750lbs, therefore it is safe.

2 is allowed for the same reason, 620lbs is lower than 750lbs.

etc, etc.

So that's all you need to look for :)

4 0

3 years ago