Which expression is equivalent to 5 x + 10 y minus 15?
1 answer:
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Answer:
Intervals A and C only
Step-by-step explanation:
we know that
The graph show a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-6,-9)
Remember that the vertex is a turning point
That means
In the interval (-∞,-6) the function is decreasing (rate of change is negative)
In the interval (-6,∞) the function is increasing (rate of change is positive)
therefore
<u><em>Verify each case</em></u>
Interval A) A -13 ≤ x ≤ -10
Belong to the decreasing interval, so the rate of change is negative
Interval B) -5 ≤ x ≤ 0
Find the rate of change
the average rate of change is equal to
In this problem we have
Substitute
so
Interval B the rate of change is positive
Interval C) --10 ≤ x ≤ -2
Find the rate of change
the average rate of change is equal to
In this problem we have
Substitute
so
Interval C the rate of change is zero
therefore
Intervals A and C only