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11 March, 18:39

For the graph below, what should the domain be so that the function is at least 200?

graph of y equals minus 2 times the square of x plus 30 times x plus 200

-5 _ x _ 20

0 _ x _ 15

x _ 0

all real numbers

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  1. 11 March, 20:57
    0
    Y = - 2x^2 + 30x + 200

    -2x^2 + 30x + 200 ≥ 200

    -2x^2 + 30x ≥ 0

    -2x^2 ≥ - 30x

    x^2 ≤ 15x

    x ≤ 15

    Required domain is 0 ≤ x ≤ 15
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