Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
Isolate the w. Note the equal sign. What you do to one side, you do to the other.
Add 3π to both sides
- 3π (+3π) + w = 2π (+3π)
w = 2π + (3π)
w = 5π
w = 5π is your answer
hope this helps
Answer:
2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum
flow of oil that can flow through the pipes (per minute) to show that this demand cannot
be met. Clearly explain how you have found the maximum flow.
D
2
A
10
4
5
8
F
6
с
17
12
B.
12
G
E
