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deff fn [24]
3 years ago
8

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y <

4x – 8 y greater than or equal to -5/2x+5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (5, -8) included in the solution area for the system? Justify your answer mathematically. (4 points)​
Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Answer:

step by step as explained below

Step-by-step explanation:

A) y<4x-8 is the shade area below the dotted line of y=4x-8

   y≥-2/5x+5 is the shade area above the solid line y=-2/5x+5

The solution is the dark color shade area

B) point(5,-8) located within the y<4x-8 area while it's not in the solution area of the system.

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Solve the system algebraically by setting the equations ( y= x+2 y= -3x+10 ) equal to each other. Step by step please
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Answer:

x = 2

Step-by-step explanation:

Set the equations equal to each other

x + 2 = -3x + 10

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4x + 2 = 10

    - 2    - 2             Subtract 2 from both sides

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Answer:

The equation of the parabolic function is :

y=(x-1)^2-3

Step-by-step explanation:

The standard equation of a parabola is given by:

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where (h,k) represents the vertex of the parabola.

From the graph shown in figure we can find the vertex of the parabola which is the minimum point of parabola and lies st point (1,-3)

So, we can say:

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Plugging in the values of vertex in standard equation of parabola,

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Simplifying the equation:

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We can find value of a by plugging in a point from the graph.

Using point (0,-2) which lies on graph.

Plugging in the given point.

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Plugging in a=1, the equation of parabola can be written as:

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