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Bumek [7]
3 years ago
13

Check all of the following that are solutions to the system shown below.

Mathematics
1 answer:
loris [4]3 years ago
5 0
From second equation y = -2-x

Plug this into the first equation:-

- 2 - x = -x^2 - x + 2

x^2 + x - 2 - 2 - x = 0

x^2 - 4 = 0

x^2 = 4

x + +/- 2

Plug these values into x + y = -2 :-
x = 2:- 
2 + y = -2   

so y = -4 

so one solution is (2,-4)

Now try x = -2

- 2 + y = -2

y = 0 

so the second solution is ( -2 , 0)

So A and C  are correct
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Identify all of the roots of the function.
Ksju [112]
F(x) = x3 - 5x2 - 2x + 24

roots -2, 3 and 4
5 0
3 years ago
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Which of these systems of equations would be best solved using the subtraction​ method?
Lynna [10]

Answer:

Step-by-step explanation:

1. x+2y=6 or x=6-2y

3x-2y=2

3(6-2y)-2y=2

18-6y-2y=2

18-8y=2

-8y=-18+2

-8y=-16

y=-16/-8

y=2 ans.

x+2*2=6

x+4=6

x=6-4=2 ans.

Proof:

3*2-2*2=2

6-4=2

2=2

I leave the rest for you to practice with.

3. 4x+y=7

2x+5y=-1

 

5. 3x+2y=-2

6x-y=6

Solve the system using the elimination method. Show all your steps.

7. -3x+3y=3

3x+y=9 add.

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

4y=12

y=12/4

y=3 ans.

3x+3=9

3x=9-3

3x=6

x=6/3

x=2 ans.

Proof:

-3*2+3*3=3

-6+9=3

3=3

I'll leave the rest for practice.

9. -5x+12y=20

x-2y=-6

11. 3x+2y=1

4x+ 6y= 7

4 0
2 years ago
A rectangular pyramid was sliced parallel to its base. What is the shape of the cross section
nignag [31]

<u>Answer:</u>

Trapezoid is the shape of the cross section of a rectangular pyramid.

<u>Step-by-step explanation:</u>

We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.

Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.

Refer to the figure below for better understanding.

4 0
3 years ago
K/4 - 5k + 1 = 1<br> please
irinina [24]

Answer:

-19k ≠ 0

No solutions

Step-by-step explanation:

k/4 - 5k + 1 = 1

4 (k/4 - 5k + 1 = 1)

k-20k + 4 = 4

-19k ≠ 0

4 0
2 years ago
In their last game the New England patriots scored 9 points in the first half in the second half they scored three less than two
Marat540 [252]

Answer:

3:5

Step-by-step explanation:

first half : 9

second half : 15

9:15 = 3:5

5 0
3 years ago
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