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storchak [24]
1 year ago
9

Help meeeeeeeeeeeeeeee pleaseee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
konstantin123 [22]1 year ago
3 0

For the equation  F(x) = ax² + bx + c we have:

  • maximum value if a<0
  • minimum value if a>0

F(x) = -3x² + 18x + 3    ⇒  a = -3, b = 18

a < 0    ⇒   the function has a maximum value

Quadratic function has the maximum value (or minimum) at vertex of its parabola.

The maximum value is k at x=h where:  h=\dfrac{-b}{2a}  and  k = F(h)

h=\dfrac{-18}{2\cdot(-3)}=3\\\\F(3)=-3\cdot3^2+18\cdot3+3=-27+54+3=30

Therefore:

<h3> The function has a maximum value of 30 at x = 3</h3>

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