Answer the questions below about the quadratic function.
1 answer:
Answer:
there is a maximum value
the maximum occurs at the point (-5, 4)
The maximum value is 4
Step-by-step explanation:
When graphed the function is a parabola that opens down because of the -3
Therefore, there is a maximum value and it is the k value of the vertex (h, k)
h = - b/2a a = -3 b = -30
= -(-30)/2(- 3) = 30/-6 = -5
k = -3 -30(-5) - 71
= -3(25) + 150 - 71
= -75 + 150 - 71
= 4
The vertex is (-5, 4) So the maximum occurs at the point (-5, 4)
The maximum value is 4
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Answer:
Part A) The volume of the entire cone is
Part B) see the explanation
Step-by-step explanation:
Part A) we know that
The volume of a cone is equal to
where
r is the radius of the base of the cone
h is the height of the cone
In this problem triangle ABD is similar to triangle ACE
Remember that If two figures are similar, then the ratio of its corresponding sides is proportional
so
substitute the given values
solve for x
To find out the volume of the entire cone we have
substitute in the formula
Part B) How did you determine the value for x in triangle ACE
In this problem triangle ABD is similar to triangle ACE
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values and solve for x