Solve the problem.
-For what positive numbers will the cube of a number exceed 9 times its square?

Name: Solve the problem. -For what positive numbers will the cube of a number exceed 9 times its square? A) $\{ x \mid x > 9 \}$ B) $x |0 81 \}$
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Question

Solve the problem. -For what positive numbers will the cube of a number exceed 9 times its square? A) $\{ x \mid x > 9 \}$ B) $x |0 < x < 81 \}$ C) $x |0 < x < 9 \}$ D) $x \mid x > 81 \}$

Quizplus · Accepted Answer

The inequality to solve is $x^3 > 9x^2$. Dividing both sides by $x^2$ (assuming $x > 0$), we get $x > 9$. Therefore, the solution is $x > 9$, which matches choice A.

Solve the Problem {x∣x>9}\{ x \mid x > 9 \}{x∣x>9} B) x∣0<x<81}x |0 < x < 81 \}x∣0<x<81}

Solve the Problem $\{ x \mid x > 9 \}$ B) $x |0 < x < 81 \}$