Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
Term=7p
<span>coefficient=7</span>
923/5000
If you put it in your calculator
Solving the quadratic function, it is found that the particle returns to the ground after 7 seconds.
<h3>What is the quadratic function for the particle's height?</h3>
The particle's height after t seconds is modeled by the following equation:
s(t) = -16t² + v(0)t.
In which v(0) is the initial velocity of the particle, which in this problem is of 112 ft/s, hence:
s(t) = -16t² + 112t.
The particle hits the ground when s(t) = 0, hence:
s(t) = 0
-16t² + 112t = 0
-16t(t - 7) = 0.
Hence the non-trivial solution is:
t - 7 = 0 -> t = 7.
The particle returns to the ground after 7 seconds.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
Step-by-step explanation:
Given that a pie chart shows data as
Excellent 7%
Good 44%
Fair 35%
Poor 13%
Other 1%
If 4 people are chosen at random we find that each person is independent of other and there are two outcomes either excellent or not excellent.
p = Prob for success = p = 7%=0.07
q = Prob for non success = 1-0.07 = 0.93
If x is a random variable representing the excellent persons then X is binomial with n =4, p = 0.07
Required probability = P(X=4)
=