Answer:
It should be 4.
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
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.
B) 41 minutes
C) 49 minutes
D) 51 minutes
The critical path in a project schedule is the longest sequence of tasks from start to finish and determines the minimum total duration for the project. Without the diagram, the correct duration from your multiple-choice options cannot be determined accurately. The correct answer represents the duration of the longest path from the given options.
Without the graphic showing the schedule networkdiagram for assembling a toy train set, providing an accurate answer would be difficult. Normally, in project management, a Critical Path represents the longest sequence of tasks (or activities) in a project schedule from start to finish. It determines the minimum total duration required to complete the project. You identify the critical path by adding the times for the activities in each sequence and determining the longest path in the project.
In this case, assuming that you have the diagram in front of you and you've calculated the total duration for all paths, one of the multiple choice options (A) 38 minutes, (B) 41 minutes, (C) 49 minutes, or (D) 51 minutes would represent the duration of the critical path in the network diagram.
#SPJ3
F(-3)= -4x^2+3x-1
x²+2x-15=0