C. 200c
D. 200+c
Answer:
Vertex:(5,8)
Focus:(5,8.25)
Directrix: y=7.75
Step-by-step explanation:
For the equation of the parabola in the form:
(x - h)² = 4p(y - k), where p≠ 0
The vertex of this parabola is at (h, k).
The focus is at (h, k + p).
The directrix is the line y = k - p.
Converting the equation y=x²-10x+33 in the above form
y=x²-10x+25+8
y=(x-5)²+8
(x-5)²=(y-8)
On comparing this equation with the above equation, we see that
h=5 k=8 and 4p=1
or p=1/4
Vertex=(5,8)
Focus=(5,8+1/4)
=(5,8.25)
Directrix: y=8-1/4
y= 7.75
b. 30
c. 43
d. 120
Answer:
Option b is correct
30 is the average rate of change of f(x) over the interval [1, 5]
Step-by-step explanation:
Average rate of change (A(x)) of f(x) over interval [a, b] is given by:
....[1]
As per the statement:
Given the function:
We have to find the average rate of change of f(x) over the interval [1, 5].
At x = 1
then;
At x= 5
then;
Substitute these given values in [1] we have;
⇒
⇒
Therefore, the average rate of change of f(x) over the interval [1, 5] is, 30
Answer:
Its b.30
Step-by-step explanation: