I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet
For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.
For b), we find the vertex of y = -1/16x^2 + 4x + 3
y = -1/16x^2 + 4x + 3
y = -1/16(x^2 - 64x) + 3
y = -1/16(x^2 - 64x + 1024 - 1024) + 3
y = -1/16((x-32)^2 - 1024) + 3
y = -1/16(x-32)^2 + 64 + 3
y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.
For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
x = [ -b ± √b^2 - 4ac ] / (2a)<span>
x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
x = -0.741, 64.741
Only the positive solution, so 64.741 feet </span>
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Von Thunen is famous from the 19th Century. He made a model that showed how market processes how to use the land in various locations.
I hope this helps!
Answer:
A parallel universe is a universe that sits alongside many other parallel universes in what is known as a universe. It is a theory, which means there isn’t much evidence to back it up.
In this theory, there is an infinite number of universes, so yes, there is one with doppelgangers of everyone on earth. There is one where an asteroid hits the earth every year and wipes out any possible life in the process. There is another where the earth doesn’t exist.
