The number of tickets sold each day for an upcoming performance is given by N(x)= -0.4x^2 +8x +15, 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? Tickets will peak __ days after the concert was first announced. The number of tickets sold on that day will be __.
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OpenStudy (anonymous):
okay, we can do this problem very easy way
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
okay, so we will use a simply formula to find the vertex or center of the downward opening parabola that the function N(x)= -0.4x^2 +8x +15 describes
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
we will use this formula, x=(-b)/(2a), this formula will give us the vertex of the parabola
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OpenStudy (anonymous):
now in this case, a=-0.4 and b=8
OpenStudy (anonymous):
now can you plug those two numbers into the formula and evluate it?
OpenStudy (anonymous):
20?
OpenStudy (anonymous):
check again because i got 10
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
did you check you work for a mistake?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
why not?
OpenStudy (anonymous):
no clue how. I always forget
OpenStudy (anonymous):
okay, well then i think you can solve the rest of the problem from here