Answer:
The answer for this as a fraction would be 1260/1
Step-by-step explanation:
63 ÷ 5/100
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:
1.84 meters
Step-by-step explanation:
Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters
The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.
Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin
Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units
This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5
Or,
.. reflect across the line y=2.5
.. reflect across the line y=x
Answer:
g(x) is f(x) expanded horizontally by a factor of 2
Step-by-step explanation:
<u>Given</u>:
f(x) = 16^x
g(x) = 16^(x/2)
__
Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...
g(x) = f(x/2)
so g(x) is a horizontal expansion of f(x) by a factor of 2.