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
Answer:
7 fiction and 23 non- fiction
Step-by-step explanation:
The number of non-fiction read was 5 less than 4 times the number of fiction books.
Assume fiction books are x.
An equation representing this would be:
x + (4x - 5) = 30
5x - 5 = 30
5x = 30 + 5
x = 35 / 5
x = 7 fiction books
Non-fiction books:
= 4x - 5
= 4 * 7 - 5
= 23 non - fiction books
The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. When the product of factors equals zero, one or more of the factors must also equal zero. Once the polynomial is factored, set each factor equal to zero and solve them separately.
The roots or the Zeros of <span>x^2 – 2x – 15 = 0 would be
C. x=5, -3</span>
Answer: 12.10
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula to calculate the z-score :-
For x= 5 degrees
For x= 10 degrees
The P-value : 
In percent , 
Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%
