(f-g)(x) = 4x²-2x-12 which,evaluated at x=4, gives 64-8-12=44
The answer would be 38/40 which simplifies to 19/20
So you want the circumference?
Point slope form (slope intercept form) is y = mx + b
so first move the -x over to the other side
2y = x + 10
Divide 2 to both sides
2y/2 = y
(x + 10)/2 = x/2 + 5
slope intercept form
y = x/2 + 5
hope this helps
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.