Answer: a=19
Step-by-step explanation: In order to solve this question, we must first take out the parenthesis, we can do this by taking 1/3 and multiply it by a and 5. This will give us 8=1/3a+5/3, with this we can subtract 5/3 on both sides of the equation, which will then give us, 19/3=1/3a. Last, we can divide 19/3 by 1/3 giving us 19 as our final anwser. a=19
Answer: Option C
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
the graph moves vertically upwards.
If 
the graph moves vertically down
In this problem we have the function 
and our parent function is 
therefore it is true that 
Therefore the graph of 
is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
Answer:
3 inches rounded but actually 3.14961
Step-by-step explanation:
Answer:
The recursive formula is aₙ=aₙ₋₁ -12
Step-by-step explanation:
Recursion is a process in which each step of a pattern depends on the step or the previous steps. So a recursive sequence is a sequence where terms are defined using one or more previous terms that are given.
So a recursive formula allows you to find any term in an arithmetic sequence using a function of the previous term, where each term is the sum of the previous term and the common difference.
So, in this case you can see the common difference of all the terms by doing the following calculations between a term and its previous value:
-13-(-1)=-13+1=-12
-25-(-13)=-25+13=-12
-37-(-25)=-37+25=-12
The common difference is -12
So, <u><em>the recursive formula is aₙ=aₙ₋₁ -12 where each term is the same
to the previous term minus 12.</em></u>
