Answer:
10 Numbers
Step-by-step explanation:
8/9 is the answer to your question.
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.
You can do this by drawing the graphs on a coordinate grid sing an online graphing tool.
The answer is Maximum 10 and minimum -25.
- the 3rd option
Answer:
The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B
Step-by-step explanation:
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)
∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)
∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)
∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)
→ By using the 2nd rule above
∴ g(x) is the image of f(x) after reflection across the y-axis
∴ The relationship between the graphs of the two functions is
"They are reflections of each other across the y-axis"
