Answer:
<em>C.</em> 
Step-by-step explanation:
Given
Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;
Each term of a binomial expansion are always of the form:
Where n = the sum above
Compare to the above general form of binomial expansion
Substitute 6 for n
[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>
By direct comparison of
and
We have;
Further comparison gives
[Solving for a]
By direct comparison of
[Solving for b]
By direct comparison of
Substitute values for a, b, n and r in
Solve for 
<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em><em />
Answer:
3. 9 free throws. Proportion: 9/15
4. 18 free throws. Proportion: 18/24
Step-by-step explanation:
Multiply the number of free throws by the decimal of the percentage:
15*60%=15*.60=9
18*75%=18*.75=18.
The proportion is the number of free throws made over the total number of free throws attempted.
Hope this helps! :)
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The correct answer here is that the sum has to be 84. This is due to the
fact that 30 + 54 is 84, and the greatest common factor is 6 because
the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3,
6, 9, 18, 27, and 54, so from this we can see that 6 is the great
common factor.
x = number of hours after 9 am (eg: x = 1 means 1 hr after 9 am, so 10 am)
f(x) = population count x hours after 9 am
f(1) = population count at 10 am (1 hour later)
f(2) = population count at 11 am (2 hrs after 9 am)
f(2) - f(1) represents the difference in population counts from 10 am to 11 am, or put another way, how much the population increased during that time interval.
