HURRY PLSSSSS
1 answer:
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Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
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Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
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The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Answer:
Step-by-step explanation:
A rational function is
where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use
Step 1: We have asymptote as 0 and -1 so our denomiator will include
Which is
So our denomator so far is
Step 2: Find Holes.
Since 12 is the value of the hole,
is a the binomial.
This will be both on the numerator and denomator so qe have
Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,
Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,
Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.
Above is the function,