Answer:
The correct option is 3.
Step-by-step explanation:
The vertex form of a parabola is
.... (1)
where a, h, and k are integers, and interpret the vertex of f(t). (h,k) is the vertex of the parabola.
The given function is

It can be written as

If an expression is defined as
, then we need to add
to make it perfect square.
In the expression
the value of b is -2. So, we nned to add and subtract
in the parenthesis.



.... (2)
The vertex form of the parabola is
.
From (1) and (2), we get h=1 and k=2. It means the vertex of the parabola is (1,2). Vertex of upward parabola is point of minima. So the minimum height of the roller coaster is 2 meters from the ground.
Therefore the correct option is 3.
Answer:
See below
Step-by-step explanation:
Given that
<h2>C = 5t + 10</h2>
We can simply take t as 1,2, 3 and so on and put it in the above equation. After finding out C, we can plot the points accordingly.
<u>OR</u>
We can simply use a graphing calculator.
See the attached file!
Answer:
9.08 hours
Step-by-step explanation:
in order to fill 1 pool
fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour
fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour
combined rate = fill rate by pipe + fill rate by pool
= 1/15 + 1/23 = 38/345 pool per hour
since:
38/345 pool -----------> will take 1 hour
1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours