F(x)=2x(x-3)/(x+4)(x+3), Creation of the hole: have 3 as a solution for both numerator and denomenator
Formation of a vertical asymptote at -4: have the denominator equal to zero when plugging in -4 such that the denominator equals to zero,
horizontal asymptote: have the highest degree of numerator and denominator equal and the quotient of their coefficient equal to 2(ever wonder why there is an "x" in the numerator? It is to set the highest degree of the numerator and denominator equal to each other.
If you need more explanations, ask, glad to help.
Answer:
Part a) 
Part b) 132:89 vs 132 to 89
Part c) 
Part d) 66:7 vs 66 to 7
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number girls
z ----> the number of adults
we have
x=132, y=89, z=14
Part a) Write the ratio of the number of boys to the number of girls.
To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls
so

substitute

Part b) Write the same ratio using another form (A: B vs. A to B)
we have

The other form is
132:89 vs 132 to 89
Part c) Write the ratio of the number of boys to the number of adults
To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults
so

substitute

Simplify

Part d) Write the same ratio using another form
The other form is
66:7 vs 66 to 7
22/24
22/2 = 11
24/2 = 12
11/12 is the reduced form
Answer:
Check the explanation
Step-by-step explanation:
Let
be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.
For any sequence of length 19, the starting coin can be from toss i ,
such that i is between 1 and n - 19+1
Thus the number of such sequences is
Kindly check the attached image below for the step by step explanation to the question above.
Answer:
second choice is the answer
Step-by-step explanation: