Answer:
1287
Step-by-step explanation:
Number of people in elevator , n = 8
Number of floors, r = 6
Since they all look alike, arrangement doesn't matter, the we use combination :
(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5
Recall:
nCr = n! / (n-r)!r!
13C5 = 13! / (13-5)!5!
13C5 = 13*12*11*10*9 / 5*4*3*2*1
= 1287
Answer:
<em>Last option </em>
Step-by-step explanation:
The general sine function has the following form
Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
phase shift
We know that:
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Thus:
Then the function is:
The answer is last option
Answer:
12:40 is the anwser
Step-by-step explanation:
If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so
3:15 minus 1 hour is 2:15
2:15 minus 35 minutes is 1:40
so now he wants to be and hour and 35 minutes earlier so the anwser would be
2:15 minus 1 hour is 1:15
1:15 minus 35 minutes is 12:40
Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
