Answer:
f(x + 3) = -x² - 8x - 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Function Notation
- Expanding
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -x² - 2x + 2
f(x + 3) is x = x + 3
<u>Step 2: Find</u>
- Substitute in <em>x</em>: f(x + 3) = -(x + 3)² - 2(x + 3) + 2
- Expand: f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2
- Distribute -1: f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2
- Combine like terms: f(x + 3) = -x² - 8x - 13

There is one-sided horizontal asymptote
You would do 78/4 which equals 19.5. Hope this helps!
The 56th term in the sequence is 195
Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:


2. Choose 3 Comedies from the 10. This is calculated as:

Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795