Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that 
only if 
So since 
is not included in the domain the function has a discontinuity in
I only know the y intercept which is 0,3
Answer:
Option c -2.8571
Step-by-step explanation:
z-score are calculated as
.
We are given that mean=120 and standard deviation=S.D=35 as X~N(120,35).
Sample size=n=25.
We have to find z-score for x-bar=100. So,
z-score=[100-120]/[35/√25]
z-score=[-20]/[35/5]
z-score=-20/7
z-score=-2.8571.
Thus, the z-score associated with x-bar = 100 is -2.8571.
ANSWER
EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:
where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:
Substitute the given values into the function above:
To solve further, convert the function from an exponential function to a logarithmic function as follows:
Solve for t:
It will take 9 years for the population to double.
