The profit, in dollars, that a school will earn from selling tickets to a dance can be modeled by the function p(x)= -25x2 + 400x where x is the price, in dollars, of each ticket. What is the price per ticket for which the
school will earn its maximum profit?
A.
$8
B. $16
C. $25
D. $400

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.