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22 February, 06:34

For the graph below, what should the domain be so that the function is at least 300?

graph of y equals minus 2 times the square of x plus 50 times x plus 300

x _ 0

-5 _ x _ 30

0 _ x _ 25

all real numbers

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Answers (1)
  1. 22 February, 07:24
    0
    Y = - 2x^2 + 50x + 300

    -2x^2 + 50x + 300 ≥ 300

    -2x^2 + 50x ≥ 0

    -2x^2 ≥ - 50x

    x^2 ≤ 25x

    x ≤ 25

    Therefore, required domain is 0 ≤ x ≤ 25
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