There are three different choices for the American.
There are 16 different choices for the first non-American and 15 different choices for the other non-American.
So, there are 3 x 16 x 15 different groups.
But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).
Thus, there are 6 x 3 x 16 x 15 different results.
Answer:
3x^2+3x+2
using Euclid's division algorithm
you can verify itt...
Answer:
It is 102
Step-by-step explanation:
Since the formula for interior angles is 180 x (n-2), n being the amount of sides of the polygon, you replace n with 35, and you get this:
180 x (35-2), or 180 x 33, which equals 5940
The axis of symmetry can be found by finding the average of the zeros, a derivation from the conservation of energy :P, or by finding the point when the velocity is equal to zero.
df/dx=-6x+12 so df/dx, velocity, equals zero when:
-6x+12=0
6x=12
x=2 so the axis of symmetry is the vertical line x=2
....
average of zeros...
3x^2-12x+6=0
x^2-4x+2=0
x^2-4x=-2
x^2-4x+4=2
(x-2)^2=2
x-2=±√2
x=2±√2 so the average of the zeros is obviously 2.
....
conservation of energy
vf-vi=at When vf=0, this is the maximum value for f(x)...
-vi=at, vi=b and a(acceleration)=2a(from quadratic) and t=x
-b=2ax
x=-b/(2a) in this case
x=-12/(2(-3))
x=-12/-6
x=2
