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Monica [59]
3 years ago
9

PLEASE ANYONE! I need to create a inequality equation to make this shape on the graph.

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

9514 1404 393

Answer:

  -4 < y < 4 and y < -3/2x +2

Step-by-step explanation:

The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...

  m = rise/run = -3/2

This means we can write the boundary line equation as ...

  y = mx + b

  y = -3/2x +2

__

We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...

  y < -3/2x +2

We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...

  -4 < y < 4 and y < -3/2x +2

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Solve the absolute value equation. 20x - 19 = 0
Phantasy [73]

To solve this absolute value equation, we can use find the solutions as follows taking into account the definition of absolute value, then, we have:

|20x-19|=0\Rightarrow20x-19=0,or-(20x-19)=0

Now, we can solve both equations to find the solution(s):

First case:

20x-19=0\Rightarrow20x=19\Rightarrow x=\frac{19}{20}

Second case:

-(20x-19)=0\Rightarrow-20x+19=0\Rightarrow-20x=-19\Rightarrow x=-\frac{19}{-20}\Rightarrow x=\frac{19}{20}

Then, both solutions are the same, because of the absolute rule (this is the point when y = 0, that is the x-intercept for this function.)

Therefore, the solution set is {19/20}.

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The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
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A = ( 15 , 15 )

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Step-by-step explanation:

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Step-by-step explanation:

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