Answer:
The explicit formula for Arithmetic Sequence is 
Step-by-step explanation:
Given: Foot length & shoe size in AP.
is foot length and n is shoe size.i.e., 
To find: Formula for Arithmetic sequence .i.e.,
From question,
Also, we know that
Now, consider
Thus using formula of we get,
Therefore, The explicit formula for Arithmetic Sequence is
Answer:
, which corresponds to answer D.
Step-by-step explanation:
Recall that the maximum or minimum of a parabola is always located at its vertex. Notice that all quadratic functions listed are given in what is called "vertex" form, since they explicitly show the vertex coordinates in their formulation:
where 
, and 
stand for the x and y coordinates respectively of the vertex.
Examining all four options, we notice that in all four cases listed, the is correct (equal to positive 9), so we proceed to examine what the 
expression should look like for 
:
Notice that when replace with "-3", we end up with a sign change:
Therefore we find that the last two options can be candidates. Then we recall that the question also states that this should be a minimum. Then, for a parabola to have a minimum, its branches must go upwards, and this corresponds to a case in which the factor 
(leading coefficient) multiplying (x-x_v)^2 is positive. So in looking for such condition, we find that the very last option is the only one that verifies such.
Then, is the option we select.
Basically what is happening is:
You start out with 15. That 1st week you have 22% more than 15, or in other words 15*1.22. The following week you have 22% more than 22% more of 15, which is 15*1.22*1.22.
Now we can write a function that models this situation:
f(n): number of views
n: number of weeks since you started
f(n) = 15(1.22^n)
We want to find out how many views there are after four weeks, so plug 4 in for n.
f(4) = 15(1.22^4)
f(4) = 33.23
This means after 4 weeks you can expect the video to have 33 views.
Answer:
its c
Step-by-step explanation:
Writing some equations out might help!
1) You know that a is 4/5 of b. This can be written as:
.
To find what b is equal to, multiply both sides by 5/4:
.
A is 5/4 B.
2) You know that a is 1/5 smaller than b. This can be written as:
.
To find b, just add 1/5 to both sides:
.
B is 1/5 bigger than a.
