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trapecia [35]
2 years ago
10

Helppppppppppppppppppppppppp

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

Answer:

Option A

Step-by-step explanation:

We know that for an eqn. ax^{2} +bx+c=0 , the quadratic formula is =

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}  or \frac{-b-\sqrt{b^{2}-4ac } }{2a}

So using quadratic eqn. for x^{2} -6x-5=0

x =\frac{-(-6)+\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}or\frac{-(-6)-\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}

=> x = \frac{6+\sqrt{36+20} }{2} or\frac{6-\sqrt{36+20} }{2}

=>x = \frac{6+\sqrt{56} }{2} or\frac{6-\sqrt{56} }{2}

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So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
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So far there are 14x13x12x11x10x9 = 2,162,160 ways
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Exponential growth :

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Given : Jonesville​'s population grows by 170 people per year.

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The population of smithville grows by 7​% per year.

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Hence, the true statement is "B. Jonesville is growing linearly and Smithville is growing exponentially."

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