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5 asmyn plays in the outfield on her softball team. She throws a softball at a rate of \( 2(t-2)(t+5) \). How
Eraser much time will the softball spend in the air? (Hint) Find the \( x \)-intercepts.

Answer

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Answer

t-intercepts are the solutions of the equation: \(t=2\), \(-5\)

Steps

Step 1 ：Find the x-intercepts by setting the equation to zero: \( 2(t-2)(t+5)=0 \)

Step 2 ：Solve the quadratic equation: \( (t-2)(t+5)=0\)

Step 3 ：t-intercepts are the solutions of the equation: \(t=2\), \(-5\)