Find the maximum/minimum value of the quadratic function g^2-2g=y+323 by completing the sqaure method

  the minimum value of y is -324

Step-by-step explanation:

Add the square of half the g coefficient:

  g^2 -2g +1 = y +324

  (g -1)^2 -324 = y

This is "vertex form" indicating the vertex is (1, -324). The leading coefficient is positive, so the parabola opens upward. The vertex is the minimum.

Minimum y-value is -324.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

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