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aleksandrvk [35]
3 years ago
8

Which graph represents the solution set of the system of inequalities?

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0
Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs. 
3y ≥ x - 9 
3(0) ≥ (0) - 9 
3 ≥ - 9  yes 
3x + y > - 3 
3(0) + (0) > - 3
3 > - 3 yes 
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs. 
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa. 
Try point (4, 2)
3y ≥ x - 9 
3(2) ≥ (4) - 9
6 ≥  - 5 yes
3x + y > - 3 
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

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The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, ho
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Answer:

Total trip cost = $2,158

Step-by-step explanation:

Given:

Cost of each ticket = $26

Number of student = 83

Find:

Total trip cost

Computation:

Total trip cost = Cost of each ticket x Number of student

Total trip cost = $26 x 83

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5 0
3 years ago
(2,-1) and (4,0) in slope-intercept form
iren2701 [21]

Answer:

y = \frac{1}{2} x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (4, 0)

m = \frac{0+1}{4-2} = \frac{1}{2} , thus

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4 0
3 years ago
Help asap due tomorrow
pentagon [3]

Answer:

5 cm

Step-by-step explanation:

The two sides of the rectangle are 8 and 2, and the same can be said for the other two sides. This means to get the perimeter of the rectangle, we add:

8, 8, 2, and 2, which gets us 20.

This means that the perimeter of the square is also 20. Now we have to find the value of the sides.

To do this we can say that every side of the square is equal in length, and there are 4 sides.

All we need to do is take the perimeter, 20, and divide it by 4, which will give us our answer of 5 cm.

7 0
2 years ago
Help i dont wanna fail... whats 1+1? HELP PLEASE
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I think it’s 3 but i’m not entirely sure
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3 years ago
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Which of the following circles have their centers in the third quadrant? Check all that apply.
tester [92]

Answer:

B and D

Step-by-step explanation:

The center of the first one is (-3,6)

The center of the second one is (-9,-12)

The center of the third one is (-14,14)

The center of the fourth one is (-16,-3)

The first one has center in the 2nd

The second one has center in 3rd

The third one has center in the 2nd

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8 0
2 years ago
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