Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
When you ask "what do you add to A to get B, you solve it by subtracting.
For example, what do you add to 5 to get 13?
Subtract 13 - 5 = 8
The answer is you add 8 to 5 to get 13.
Now you need to do the same with your polynomials.
What do you add to <span>x^2 - 2x + 6 to get 3x^2 + 7x?
To find the answer, subtract
(3x^2 + 7x</span>) - (x^2 - 2x + 6)
Using the Factor Theorem, the polynomial is given by: 
- The graph is sketched at the end of the answer.
The <em>Factor Theorem</em> states that a polynomial function with roots
is given by:
In which a is the leading coefficient.
In this problem, the roots are:
- Root of -4 with multiplicity 4, hence
.
- Root of -1 with multiplicity 3, hence
.
- Root of 5 with multiplicity 6, hence

Then:


- Positive leading coefficient, hence
.
- 13th degree, so it is odd.
Then:

At the end of the answer, an sketch of the graph is given.
For more on the Factor Theorem, you can check brainly.com/question/24380382
Answer:
12 wins and 4 losses
Step-by-step explanation:
3 wins and 4 losses means they have played so far 7 games.
They play a total of 16 games in a season.
16 - 7 = 9
They still have to play 9 more games.
Add 9 wins to the 3 wins.
9 + 3 = 12
That means they'd finish the season with 12 wins and 4 losses.