Answer: 2405970 ways
Step-by-step explanation:
When the order of selecting r individuals out of n individual , we use permutations.
The number of permutations of r things taking out of n things is given by :-

Given : There are 135 people and three door prizes .
i.e. n= 135 , r= 3
Then, the total number of ways = 

Hence, there are 2405970 ways to distribute door prizes of $7,500, $750 and $75 .
Answer:
x=1
Step-by-step explanation:
you would substitute the first equation in for the y in the second equation
x + 2x+3 =6
then you would combine the x's
3x +3 = 6
Then you would move the 3 to the other side with the six
3x =6-3 3x = 3
Then finally you would divide the three
3x/3 = 3/3 x=1
The property that is shown is called the zero property.
Answer:
See below
Step-by-step explanation:
The given rational function is;

The given function is not continuous where the denominator is equal to zero.

The function is discontinuous at 
b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.
The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)
c) The equation of the vertical asymptotes are x=-4 and x=4
To find the equation of the horizontal asymptote, we take limit to infinity.

The horizontal asymptote is y=0