a.


b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying
and
is as simple as multiplying the moduli and adding the arguments:

c. Similar to (b), except now you divide the moduli and subtract the arguments:

209÷2=104.5
104.5 is the number between the two consecutive integers, therefore the first number would be 104 and the other would be 105
104+105=209
We can't write the product because there is no common input in the tables of g(x) and f(x).
<h3>Why you cannot find the product between the two functions?</h3>
If two functions f(x) and g(x) are known, then the product between the functions is straightforward.
g(x)*f(x)
Now, if we only have some coordinate pairs belonging to the function, we only can write the product if we have two coordinate pairs with the same input.
For example, if we know that (a, b) belongs to f(x) and (a, c) belongs to g(x), then we can get the product evaluated in a as:
(g*f)(a) = f(a)*g(a) = b*c
Particularly, in this case, we can see that there is no common input in the two tables, then we can't write the product of the two functions.
If you want to learn more about product between functions:
brainly.com/question/4854699
#SPJ1
Your answer is the last option, 6.
We can work this out by looking for the total of people that like tennis in the table, and subtracting it from the total amount of people that like baseball.
This gives us a total of 46 people that like baseball, subtract 40 people that like tennis, and 46 - 40 = 6.
I hope this helps!