The correct answer would be (C.) x>90
Given:
The given equation is
To find:
The vertex, focus, and directrix.
Solution:
The equation of a parabola is
...(i)
where, (h,k) is vertex, 
and directrix is 
We have,
It can be written as
...(ii)
On comparing (i) and (ii), we get
Vertex of the parabola is (2,3).
Therefore, the focus of the parabola is 
.
Directrix of the parabola is
Therefore, the directrix of the parabola is .
The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.
<h3>How to calculate the domain of the function?</h3>
In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:
0= -4.87t² + 18.75t.
4.87t(-t + 3.85) = 0
t = 0 or t = 3.85.
Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).
<h3>How to calculate the range of the function?</h3>
h(t) = -4.87t² + 18.75t
h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)
h(t) = -4.87(t - 1.925)² + 18.05
Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).
Read more on domain here: brainly.com/question/17003159
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Answer:
-1/24
Step-by-step explanation:
-7/8 - (-5/6)
-7/8 + 5/6
-1/24
