A second baseman throws a baseball toward the first baseman 60 feet away. The path of the ball is given by y = −0.004x2 + 0.2x + 6.5 where y is the height (in feet) and x is the horizontal distance (in feet) from the second baseman. The first baseman can reach 8 feet high. Can the first baseman catch the ball without jumping?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.