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anonymous

  • 5 years ago

-6x3 + 30x2 ≥ 0

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  1. anonymous
    • 5 years ago
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    You want the steps to solving this type of problem? Or just the answer to verify your solution?

  2. anonymous
    • 5 years ago
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    steps

  3. anonymous
    • 5 years ago
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    1. Turn the inequality into an equation, simply by writing -6x^3 + 30x^2 = 0. The reason for doing this is to find the solutions of x. In this case the value of x that solves this equation is 0 and 5. 2. Set up the intervals for the function. That is, (negative infinity, 0) ; (0,5) ; (5, positive infinity) 3. Take a test value from each interval (do not use any of the boundary values, i.e. 0 or 5) and substitute it into the expression -6x^3 + 30x^2. Only regard the sign of the return value. 4. Since -6x^3 + 30x^2 must be greater than or equal to zero, select only those intervals that yield a positive number. 5. Be sure to use square brackets appropriately to account for the 'or equal to zero' part of the inequality.

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