Answer:
The function is 2 I believe
Step-by-step explanation:
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
It is probably easier to open an account with a bank rather than with a credit union because most credit unions require a kind of affiliation, but banks will let anyone with money to open an account. The correct option among all the options that are given in the question is the first option or option "a".
Hope this helps!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:

Add the fractions:

Factor:

Simplify:

We can expand. Therefore:

Problem 2)
We want to simplify:

Again, let's create a common denominator. First, let's factor out a negative from the second term:

Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:

Subtract the fractions:

Distribute and simplify:

Cancel. Hence:

Let

be the roots of the equation

. By the Viet theorem you have that

.
For the equation

you'll have that

That is

.
Answer: