Antonio owes $15 less than Maria owes. This means that Antonio's balance is _________ than Maria's balance. (Maria owes more tha
2 answers:
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A function 
is periodic if there is some constant 
such that 
for all 
in the domain of . Then is the "period" of .
Example:
If
, then we have 
, and so 
is periodic with period 
.
It gets a bit more complicated for a function like yours. We're looking for such that
Expanding on the left, you have
and
It follows that the following must be satisfied:
The first two equations are satisfied whenever
, or more generally, when 
and 
(i.e. any multiple of 4).
The second two are satisfied whenever
, and more generally when 
with (any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:
More generally, it can be shown that
is periodic with period
.
Example:
If
It gets a bit more complicated for a function like yours. We're looking for
Expanding on the left, you have
and
It follows that the following must be satisfied:
The first two equations are satisfied whenever
The second two are satisfied whenever
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when
Let's verify:
More generally, it can be shown that
is periodic with period
Answer:
Step-by-step explanation:
Answer for #5
Two Points M(-7,1) and N(5,1).
1. Formula is
2. Let’s say (x1,y1) = (-7,1) and (x2,y2) =(5,1)
3. Distance =
so distance between two warehouses is 12 miles
Answer #6
In the question it is saying the “Distance between two stores is half the distance between warehouses“ so it is = 6 miles
Answer #7
S1(-4,1) and distance of S1 and M is 3 Miles.
Answer #8
S2(2,1) and distance of S2 and M is 3 miles.
