Answer:
(-1, 19) and (3, -81)
Step-by-step explanation:
f(x) = 2x³ − 6x² − 27x
f'(x) = 6x² − 12x − 27
-9 = 6x² − 12x − 27
0 = 6x² − 12x − 18
0 = x² − 2x − 3
0 = (x + 1) (x − 3)
x = -1 or 3
f(-1) = 19
f(3) = -81
The points are (-1, 19) and (3, -81).
The volume of cone shaped popcorn cup is 75.36 cubic inches.
According to the given question.
The height of the popcorn cup = 8inches
And the diameter of the cup = 6 inches
⇒ Radius of the popcorn cup = 6/2 = 3 inches
As we know that, the volume of cone is calculated by the formula
volume of cone = (πr^2h)/3
Therefore, the volume of cone shaped popcorn cup
= 3.14((3)^2)(8)/3
= 3.14(3)(8)
= 75.36 cubic inches
Hence, the volume of cone shaped popcorn cup is 75.36 cubic inches.
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Answer:
A
Step-by-step explanation:
it's A because if you're adding x from each number in the equation you would shift to the left causing the graph to become more positive but if you subtract x you would shift to the right causing the graph to become more negative.
we have the following:
solving for b:
therefore, the answer is 16
The given series is
Where the first term, a , is 3.
And the difference is constant, that is
So the constant difference, d is 3.
Since the difference is constant, so the given series is arthmetic.
And for explicit rule, we use the formula of nth term, which is
Substituting the values of a and d, we will get
Recursive rule is used to tell us the relationship between previous and current term. And the required rule is
