Posted by Terry on Sunday, April 8, 2012 at 2:29pm.
The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=0.6x^2+12+13, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?

algebra  Henry, Sunday, April 8, 2012 at 10:33pm
N(x) = 0.6x^x+12x+13.
The above is the Eq of a parabola that
opens downwrd. Therefore, the max point
on the curve is the vertex:
Xv = b/2a = 12 / 1.2 = 10 = The # of days.
In the original Eq, substitute 10 for
X to get # of tickets sold:
N(x) = (0.6)10^2 + 12*10 + 13 = 73. =
The # of tickets sold.
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