Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
Answer:
Clusters at 1 - 2 1/2 and 3 1/2 - 4
Gaps at 1/2 and 3
Spread from 0 - 4
Peak at 4
Graph is not symmetrical.
Explanation:
The clusters are where the data is grouped <em>without </em>gaps. So from 1 - 2 1/2 and 3 1/2 to 4. There are no gaps. Gaps are spaces <em>without</em> data. These spaces have to be within the spread of the data. The spaces without data within the spread are 1/2 and 3. The spread is the smallest data point to the largest one. The peak is the data point with the most dots. The place with the most dots is 4. A symmetrical graph has a center point that everything revolves around and everything is the same on both sides. There is no symmetry in this graph.
Answer:
(
−
1
)
(
3
2
+
−
6
)
Step-by-step explanation:
A=2 B=2 C=2 represents neither of the two.
A=0 B=5 C=0 is a horizontal line running parallel to the X axis.
A=-8 B=0 C=0 is a vertical line, with a fixed X co-ordinate.