What is the domain of y = cot x?
a. (- ∞ ,∞ )
b.(0,π)
c. all x≠ π/2+π
d. all x≠ π
e. all x≠ π/2

The domain of y=cot x is:

               Option: b

                b.     (0,π)

We know that a domain of a function is the set of all the possible x values for which the function is well defined.

We are given a function as:

which is further defined as:

Hence, the function is well defined when the denominator term is non-zero.

We know that the denominator term i.e. the sine function is zero at the points:

Hence, the best possible option is:

           b.   (0,π)

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: