A donut shop has fixed costs of $32 per V day, and $2 per muffin sold. This formula can be represented by y = 2x + 32 , where x is the number of muffins sold, and y is the cost per day. Write this relationship in functional notation, as a function C(m) , where C(m) represents the cost for m muffins sold. Select the ordered pair that would represent this function C, given m. (32, (2)) 32 (m, 2m + 32) (2m + 32, m) (c(m), m)

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Question 4 of 102 pointsjuliana had $96, which is eight times as much money as al had. how mucmoney did al have? select the correct solution method below, representingals money with x.