Which graph shows the solution to the system of linear inequalities?
2 answers:
Answer:
- See below
Step-by-step explanation:
<u>Given system:</u>
- y ≥ 2x + 1
- y ≤ 2x – 2
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
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Answer:
The average rate of change is equal to
Step-by-step explanation:
we have
-----> this is a linear direct variation
we know that
The rate of change of a linear variation is a constant
The rate of change of a linear variation is equal to the slope of the line
In this problem the slope of the line is equal to
therefore
The average rate of change is equal to
<u>Verify</u>
the average rate of change is equal to
In this problem we have
Substitute