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Mountain lions are capable of jumping high into the ait If mountain lion jumps 9 feet off the ground and then comes back down, its height above the ground varies according to the equation h = - 16t ^ 2 + 24t where t = 1 time in seconds and h = heig in feet The right side of this equation can be factored to get the equivalent equation h = - 8t * (2t - 3) What do the factors 2t - 3 mean in this situation?

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xero099

Answer:

The binomial [tex]2\cdot t - 3[/tex] is for the instant [tex]t[/tex] when it lands after jumping.

Step-by-step explanation:

Both [tex]8\cdot t[/tex] and [tex]2\cdot t - 3[/tex] contains the roots of the polynomial, that is, the values of [tex]t[/tex] so that [tex]h = 0[/tex]. Physically speaking, the monomial [tex]8\cdot t[/tex] represents the time when the mountain lion begins jumping, whereas the binomial [tex]2\cdot t - 3[/tex] is for the instant [tex]t[/tex] when it lands after jumping.