Water coming out from a fountain is modeled by the function f(x) = -x2 + 6x + 7 where f(x) represents the height, in feet of the water from the fountain at different times x, in
seconds.
a. Find the zeros of the functions.
b. Find the vertex of the quadratic function. (2 points)
c. Determine the domain of f(x) (1 point) (Hint the time is only positive)
d. Determine the range of f(x) (1 point) (Hint remember to check the vertex)
e. Calculate the average rate of change of f(x) from X = 1 to x = 3 then explain what it
represents. (2 points)
f. Find the vertex form for f(x). (2 points)

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:

3x + 4y -25 =0 represents the amount of change sianna should recieve