Answer:
see explanation
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given the equation in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= - 
j(x) = x² - 12x + 7 is in standard form
with a = 1, b = - 12 and c = 7, hence
= - 
= 6
substitute x = 6 into j(x) for y- coordinate
y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29
vertex = (6, - 29 ) and
j(x) = (x - 6)² - 29 ← equation in vertex form
The answer is: B. Even function.
The explanation for this exercise is shown below:
1. You must substitute 
with 
in the function:
2. As you can see, 
, therefore it is an Even function.
Answer:
The radius is decreatsing at a rate 0.78 cm per second.
Step-by-step explanation:
We are given the following in the question:
Instant radius,r = 2 cm
Instant length,l = 9cm
The radius of the cylinder decreases.
Volume of cylinder =
Since the volume of the cylinder does not changes, we can write:
Rate of change of volume:
Puttiung values, we get
Thus, the radius is decreatsing at a rate 0.78 cm per second.
1. a. $- 35
b. +15 yards
c. + 3 floors
d. +50 degrees
e. $+15
2. b. A is highest.
c. B and C
