Given:
The expression is:

To find:
The factor of the given expression by GCF.
Solution:
It is given that,

The terms of the given expression are
. The greatest common factor of these terms is 3.

So, taking out the GCF, the given expression can be rewritten as:

Therefore, the factor form of the given expression by GCF is
.
Answer:
20 cups of punch
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If Elise adds 5 percent of each of the other ingredients
then
the new percentages are
Ginger Ale=40%+5%=45%
Orange Juice=25%+5%=30%
Pineapple Juice=20%+5%=25%
Sorbet=0%
Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion
Let
x ----> the total cups of punch

In a function, each domain element can have at most one range element. So we'll have to remove one of the links from 3. Either one can be removed, since it is OK for two domain elements to map to the same range element (as is the case for 3->b and 4->b).
This is all very theoretical, but here is a real life example.
Take f(x) = x²
You probably know that both f(2) and f(-2) is 4.
There 2 and -2 are in the domain, 4 is in the range.
The rule of geometric sequence is ⇒⇒⇒ a * r^(n-1)
Where a is the first term and r is the common ratio
for the given sequence √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5
the correct answer is the third option 16√5