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Please help me with this geometry question

Please help me with this geometry question-example-1

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Answer:

-t*(t -16) ≥ 39

-t*(t -16) = 39

t = 3 or 13 hours

Explanation:

When number of people is at 39 or more means the number of people of greater than or equal to 39.

So, the inequality is,

-t*(t -16) ≥ 39

When the number of people is 39, the equation is,

-t*(t - 16) = 39

-t²+ 16t = 39

0 = 39 + t² - 16t

t² - 16t + 39 = 0

Sum = -16

Product = 39

Factors = -3 , -13 [ (-3) * (-13) = 39 & (-3) +(-13) = -16 ]

Rewrite the middle term using the factors.

t² - 3t - 13t + 39 = 0

t(t -3) - 13(t - 3) = 0

(t -3)( t - 13) = 0

t -3 = 0 ; t- 13 = 0

t = 3 or t = 13

t = 3 hours or 13 hours.

User Nasir Shah
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