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Algebra 2

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The number of tickets sold each day for an upcoming performance of Handel's Messiah is given..........? by N(x)=-0.3x^2+8.4x+10, where x is the number of days since the concert was first announced. When will daily tickets sales peak and how many tickets will be sold that day? Ticket sales will peak days after the concert was fist announced. The number of tickets sold on that day will be .

  • Algebra 2 -

    .3 x^2 -8.4 x = -n + 10

    x^2 - 28 x = -3.33 n + 33.33

    x^2 - 28 x + 14^2 = -3.33 n + 33.33 + 196

    (x-14)^2 = -3.33 n + 229.33

    so x = 14 days
    then
    3.33 n = 229.33
    n = 69

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