QUESTION IMAGE
Question
an object is launched from ground level. the equation for the objects height is \\(y = -16x^2 + 48x\\). what values of \\(x\\) (time in seconds) is the object at or above a height of 32 meters?
Set up the inequality
Using the Quadratic Inequalities knowledge point
$$
-16x^2 + 48x \ge 32
$$
Rearrange into standard form
Using the Solving Quadratic Equations knowledge point
$$
LATEXBLOCK0
$$
Find the critical boundary points
Using the Solving Quadratic Equations knowledge point
$$
LATEXBLOCK1
$$
Determine the solution interval
Using the Quadratic Inequalities knowledge point
$$
1 \le x \le 2
$$
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\(1 \le x \le 2\)