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Nuetrik [128]
3 years ago
10

The graph of a system of inequalities is shown.

Mathematics
2 answers:
dangina [55]3 years ago
8 0

Answer:

The system is

x+2y \leq -8

y> 2x

Step-by-step explanation:

Part 1

<u><em>Find the equation of the first inequality</em></u>

we know that

The first line is a solid line with negative slope passing through the points (-6,-1) and (0,-4)

The slope is equal to

m=(-4+1)/(0+6)\\m=-0.5

The equation of the solid line in slope intercept form is

y=-0.5x-4

Everything below the line is shaded

so

The inequality is

y \leq -0.5x-4

Convert to standard form

Adds 0.5x both sides

0.5x+y \leq -4

Multiply by 2 both sides

x+2y \leq -8 -----> First inequality

Part 2

<u><em>Find the equation of the second inequality</em></u>

we know that

The second line is a dashed line with positive slope passing through the points (-2,-4) and (0,0)

This line represent a proportional relationship, because the line passes through the origin

The slope is equal to the constant of proportionality

k=(-4)/(-2)=2

The equation of the dashed line is

y=2x

Everything to the left of the line is shade

so

The inequality is

y> 2x -----> Second inequality

see the attached figure to better understand the problem

Anni [7]3 years ago
6 0

Answer:

the correct anwser is A.......

     y > 2x

x + 2y ≤ –8               just took the  unit test

Step-by-step explanation:

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Miguel has triple David's money, while Lisbeth has ten dollars less than David. The sum of their money totals $95. How much mone
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Answer:

Miguel has $63

Lisbeth has $11

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Step-by-step explanation:

let Miguel share be M

let Lisbeth share be L

let David share be D

from the question, we know that

M=3D

L=D-10.

M+L+D=95

thus,

3D+(D-10)+D= 95

3D+D-10+D= 95

5D-10 = 95

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thus,

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3 years ago
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Arte-miy333 [17]
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Read 2 more answers
Need help with number 43 and 45 and need to show the work
Alex787 [66]
43:
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      To find the answer find the difference between 30.5°C and 0 (which is 30.5).

      Next, find the difference between -122.2°C and zero (122.2)

       Finally, add 122.2 + 30.5 to find the total distances from the zero combined for the full distances apart from each other.

     (We add them because -122.2 to the left of zero, and 30.5 is on the right)

      You should get 152.7 as your answer.

45:
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5 0
3 years ago
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