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:
At 53 mph, he traveled for 1.5 hours
At 58 mph, he traveled for 2 hours
Step-by-step explanation:
Mathematically;
distance = speed * time
let the time for the first part of the trip be x hours and the second part be y hours
Total hours is 3.5
So therefore;
x + y = 3.5 ••••••••(i)
Now let’s work with the rate
53 mph for x hours = 53 * x = 53x miles
58 mph for y hours = 58 * y = 58y miles
Adding both;
53x + 58y = 195.5 miles ••••••••(ii)
We have two equations to solve simultaneously
From i, x = 3.5 - y
insert into ii
53(3.5-y) + 58y = 195.5
185.5 - 53y + 58y = 195.5
5y = 195.5-185.5
5y = 10
y = 10/5
y = 2 hours
x = 3.5 - y
x = 3.5 - 2
x = 1.5 hours
Answer:36
Step-by-step explanation:
48-12=36
(R)
If there are 250 bricks in a 20 feet high wall, there should be 125 bricks in a 10 feet high wall.
So to get a 30 feet high wall, you need to multiple 125 bricks by 3.
Its you will be found and the equation answer is 56
