Answer:
The correct answer is option B.
Step-by-step explanation:
Two point form of the equation:
A line passing through the point (-1,6) with slope ,m = -3.
The equation of the line will be:
Hence, the correct answer is option B.
Write the expression that represents the phrase: the quotient of 10 and x
1 answer:
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To solve this we are going to use the average rate of change formula: 
where
is the average rate of change of the function
is the position function evaluated at 
is the position function evaluated at 
is the first point in the interval
is the second point in the interval
We can infer for our problem that the first point is 3 and the second point is 6, so
and 
. Lets replace those values in our formula:
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
where
We can infer for our problem that the first point is 3 and the second point is 6, so
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
for all
in [-3, 0], so
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at
.
From the plot, it's clear that on [-3, 0] we have . So
for some constant . Given that
, we find that
so that on [-3, 0] we have
and