Answer:
- height: 48.6 ft
- time in air: 3.4 s
Step-by-step explanation:
A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.
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The equation can be rewritten to vertex form to find the maximum height.
h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms
h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16
h(t) = -16(t -27/16)^2 +48 9/16
The maximum height is 48 9/16 feet, about 48.6 feet.
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The air time is found at the value of t that makes h(t) = 0.
0 = -16(t -27/16)^2 +48 9/16
(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16
(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16
The time in air is about 3.4 seconds.
Answer:
X^-2 x X^3 or C
Step-by-step explanation:
why because a negative and a positive when multiplied make a negative
Answer:
f(0) = 2
Step-by-step explanation:
Read from the graph the value "y" that the line presents when "x" is zero. That is the f(0) you are looking for.
See attached screen capture with the point highlighted
f(0) according to the image provided is equal to 2.
f(0) = 2
Answer:
The answer is 3.9
Step-by-step explanation:
Answer:
(x, y+6) will vertically move 6 units up.
Step-by-step explanation:
If we move vertically 6 units up, 6 is added to the y-coordinate.
so
(x, y+6) will vertically move 6 units up.
For example, let suppose the point P(-2, 3). When we apply a translation of (x, y+6) to the point P(-2, 3), the coordinates of point P after the translation will be:
(x, y) → (x, y+6)
P(-2, 3) → P(-2, 9) ∵ P(-2, 3+6)
Therefore, (x, y+6) will vertically move 6 units up.
