Is there supposed to be an attachment to this question?
For this case, we must simplify the following expression:
By properties of powers and roots we have to:
It can be written equivalently as:
Then, the previous expression can be written as:
Simplifying we have:
Returning to the radical form we have:
Answer:
Answer:
16
Step-by-step explanation:
You can choose
- 1 pair of shoes in 2 different ways
- 1 pair of pants in 2 different ways
- 1 pair of shoes in 4 different ways
In total there are
different outfits.
Another way to solve this problem is simply count all outfits:
Shirts
Pants
Shoes
All outfits
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words:
an = a1 * r ^ (n-1)
Now, knowing that a1 = 2, and r = 4
We check
a2 = 2 * 4 ^ (2-1) = 2 * (4 ^ 1) = 8
a3 = 2 * 4 ^ (3-1) = 2 * (4 ^ 2) = 32
a4 = 2 * 4 ^ (4-1) = 2 * (4 ^ 3) = 128
Therefore, this is the geometric function that this sequence fulfills.
Given:
The equation is:
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
....(i)
We have,
In can be rewritten as
...(ii)
On comparing (i) and (ii), we get
Therefore, the correct option is C.