Answer:
126
Step-by-step explanation:
Total number of apples = 9
Number of favourite Mathematics lecturers = 5
To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find 
Combination refer to selection of items such that order does not matter.
Use 
Put 

Answer:
GCF is 4ab
And the expression will be: 4ab ( 3a^2+2ab-5b^2)
Step-by-step explanation:
Factor the GCF :
12a^3b + 8a^2b^2-20 ab^3
We need to find the common terms that are common in each of the term given above
12,8 and 2 are all divisible by 4
a is common in all terms and b is also common in all terms,
So, GCF is 4ab
Taking 4ab common
12a^3b + 8a^2b^2-20 ab^3=4ab ( 3a^2+2ab-5b^2)
Answer:
10%
Step-by-step explanation:
2937 ÷ 2670 = 1.1
1.1 - 1 = 0.1
Answer:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:

This means that we have some value <em>y</em> such that:

If <em>x</em> is -8, then:

As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.