Question

http://prntscr.com/nwp8h3

Answer 1

@Narad @Vocaloid

Answer 2

the shaded area represents all the solutions to the inequality

so if (3,-1) is within the shaded area, it's true, otherwise false

Answer 3

So its true

Answer 4

good

Answer 5

http://prntscr.com/nwpb34

Answer 6

B?

Answer 7

yep

Answer 8

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Answer 9

false?

Answer 10

The point (0,2) lies on the edge of the shaded region. Are the red lines dotted or continuous?

Answer 11

Ohhh its true

Answer 12

Yes

Answer 13

http://prntscr.com/nwpbvs

Answer 14

D?

Answer 15

The system of equations is
\[x \le -3\]
\[y \ge 0\]
This is the shaded part.
The answer must be option A (?)

Answer 16

Ohh okay got it

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Answer 17

The system of equations are

\[x \le 2\]
\[x \ge -5\]
\[y \ge -1\]
\[y \le 6\]
The correct option is option C

Answer 18

okay

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Answer 19

The equations are
\[y-x \ge 4\]
\[y-3x \ge-2\]
Rearranging the equations
\[3x-y \le2\]
\[x-y \le-4\]
The answer is option B

Answer 20

okay

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Answer 21

The equations of the lines are

\[x \ge 2\]

\[x+ 2y \ge 4\]
The shaded zone corresponds to option A

Answer 22

okay

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Answer 23

The equation of the lines are
\[x \ge -1\]
\[x+y >3\]
The answer isoption A

Answer 24

okay

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Answer 25

The equations of the lines are

\[y-x \le -4\]
\[y+x \le 1\]
The answer is option A

Answer 26

okay

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Answer 27

The equations of the lines are

\[x+y < -2\]
\[4y-x >0\]
Rearranging the equations

The answer is option D

Answer 28

okay

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Answer 29

The equations are
\[x+2y+z=5\]
\[2x-y+z=4\]
\[3x+y+4z=1\]
Plugging the possible solutions
The solutions are (5,2,-4)
The answer is option A.

Answer 30

okay

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Answer 31

The equations are
\[2x+y+z=5\]
\[4x-2y-z=0\]
\[3x-y+2z=6\]
The only solution is (1,1,2)
This is option A

Answer 32

Okay

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Answer 33

The equations are
\[x-2y-3z=3\]
\[3x+y+z=12\]
\[3x-2y-4z=15\]
The solution is (3, 9, -6)

This is option C

Answer 34

okay

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Answer 35

The equations are
\[2x-y-z=3\]
\[4x+y-2z=3\]
\[-x+y+z=1\]
The solutions are (4,1,-6)
This is option C

Answer 36

okay

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Answer 37

The equations are
\[2x+3y+3z=5\]
\[4x+5y+3z=13\]
\[3x+2y-2z=13\]
The solutions are (1,3,-2)
The answer is option D

Answer 38

okay

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Answer 39

The equations are
\[3x-y+2z=6\]
\[-x+y=2\]
\[x-2z=-5\]
The solutions are (1,3,3)
This is option B

Answer 40

okay

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Answer 41

The equations are
\[x+10y-2z=20\]
\[5x-3y+4z=8\]
\[2x+y=6\]
The solutions are (2,2,1)
The answer is option C

Answer 42

okay

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Answer 43

Let the smallest angle = x

The greatest angle = x+75

Let the remaining angle = y

Therefore,

1/3(x+x+75) =y

and

2x+75+y=180

Solving for x and y

\[2x+75=3y\]
\[2x+75+y=180\]
\[4y=180\]
\[y=180/4=45º\]
\[x=30º\]
The angles are 30º, 45º, 105º

The answer is option A

Answer 44

okay

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Answer 45

Let the numbers be x, y and z

The equations are
\[x+y+z=4\]
\[y-z=x\]
\[z+4y=x\]
The solutions are (5, 2, -3)

This is option C