Answer:
Step-by-step explanation:
We are dealing with the "american" measure of feet, so the pull of gravity that we need is -16t^2. The quadratic that models this, in standard form, is
where v0 is the initial vertical velocity (64) and h0 is the initial height (4). Filling that standard position function in with our stuff gives us:
We are asked how long it will take for the object to reach its max height, then of course we are asked what the max height is (of course!). I am going to use calculus here since it's the easiest way to go. The first derivative of the position function is the velocity function.
v(t) = -32t + 64
You should know at this point from either algebra 2 or physics or calculus that an object has no velocity at its max height because it has to stop in the air in order to turn around and head back down. So we will set the velocity function equal to 0 and solve for how long it takes to reach that max height.
0 = -32(t - 2) so
t = 2 seconds, which answers the first question. If it takes 2 seconds to reach its max height, we can sub in 2 for t in the position function to find the object's position at 2 seconds. This will be the max height.
so
s(2) = 68 feet. The max height is 68 feet, which answers the seconds question.
As far as the range goes, the position function is an upside down parabola with a max height of 68. So the range, if I'm understanding what is being asked, is y | y ≤ 68
I think it's false.... 5/6 is 83.33% as a percent so I don't think it's true.
Answer:
<em>The value of k is 7</em>
Step-by-step explanation:
The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:
g(x) = f(x) +k
To know the value of k, we select a value for x and calculate the value of k.
For example, for x=0, f(0)=-6, g(0)=1, and:
g(0) = f(0) +k
1 = -6 +k
k = 7
We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:
g(-5) = f(-5) +k
7 = 0 +k
k = 7
The value of k is 7
H=height of ostrich
k=height of kiwi
h is 20 more than 4 times k
k=20+4k
k=108
108=20+4k
minus 20 from both sides
88=4k
divide both sides by 4
22=k
answer is A
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So, let's start off with h
The expression needs to be '3 more than h'
This can be written as:
h + 3
The expression also needs to be 'five times' this value
This can be written as:
5(h + 3)
That would be your answer ^^
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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