On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system
2 answers:
Answer:
The region that contains the solution to the system is:
Region D
Step-by-step explanation:
- We are given first inequality as:
The graph of this will be a solid line passing through (9,0) and (0,3) with shading towards the origin.
Hence, it covers Region C and Region D.
- Similarly the second inequality is given by:
The graph of this will be a solid line passing through (-2/3,0) and (0,2) with away from the origin.
Hence, it covers Region A and Region D.
Hence, the intersection region that is covered by both the inequalities is:
Region D
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Answer:
Step-by-step explanation:
Given:
The equation to solve is given as:
Rearrange the given equation in standard form , where,
are constants.
Therefore, we add on both sides to get,
Here,
The solution of the above equation is determined using the quadratic formula which is given as:
Plug in and solve for
.
Therefore, the solutions are:
F(x) = {(8, 3), (4, 1), (0, -1), (-4, -3)}
f(x) = ¹/₂x - 1
f(x) = ¹/₂x - 1
y = ¹/₂x - 1
x = ¹/₂y - 1
+ 1 + 1
x + 1 = ¹/₂y
2(x + 1) = 2(¹/₂y)
2(x) + 2(1) = y
2x + 2 = y
2x + 2 = f⁻¹(x)
2x + 2 = g(x)
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}
g(x) = 2x + 2
f(x) = ¹/₂x - 1
f(x) = ¹/₂x - 1
y = ¹/₂x - 1
x = ¹/₂y - 1
+ 1 + 1
x + 1 = ¹/₂y
2(x + 1) = 2(¹/₂y)
2(x) + 2(1) = y
2x + 2 = y
2x + 2 = f⁻¹(x)
2x + 2 = g(x)
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}
g(x) = 2x + 2