Answer:
115
Step-by-step explanation:
2x+3=7
2x+3-3=7-3
Whenever moving a number to the other side you have to change the sign .
2x= 4
x=2
Not sure question is complete, assumptions however
Answer and explanation:
Given the above, the function of the population of the ants can be modelled thus:
P(x)= 1600x
Where x is the number of weeks and assuming exponential growth 1600 is constant for each week
Assuming average number of ants in week 1,2,3 and 4 are given by 1545,1520,1620 and 1630 respectively, then we would round these numbers to the nearest tenth to get 1500, 1500, 1600 and 1600 respectively. In this case the function above wouldn't apply, as growth values vary for each week and would have to be added without using the function.
On one hand, the function above could be used as an estimate given that 1600 is the average growth of the ants per week hence a reasonable estimate of total ants in x weeks can be made using the function.
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 />
A' = (1/2)*A = (8, 0)
B' = (1/2)*B = (12, 6)
C' = (1/2)*C = (6, 8)
The third choice is appropriate.
