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AnnyKZ [126]
4 years ago
8

Twenty-seven regions in a nation contain casinos. Assume the nation has 50 regions. (a) What fraction of the regions contain cas

inos? (b) How many regions do not contain casinos? (c) What fraction of the regions do not contain casinos?
Mathematics
1 answer:
Nataly [62]4 years ago
7 0
A) 27/50
b) 50-27= 23
c) 23/50
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Solve x^3+3x^2-23x-20=0
adoni [48]

Hello from MrBillDoesMath!

Answer:

x = 4

x  =  ( -7 + sqrt(29)) /2

x =   ( -7 - sqrt(29)) /2

Discussion:

x^3+3x^2-23x-20 factors as (x - 4) (x^2 + 7 x + 5) so x =4 is one root

The roots of the quadratic factor, x^2 + 7x + 5, can be found using the quadratic formula where a = 1, b = 7, and c = 5

x =  (  -b +\- sqrt(b^2-4ac)) / 2a

x = ( -7 +\- sqrt( 7^2 - 4*1*5) ) / (2*1) =>

x =  ( -7 +\- sqrt (49-20) ) /  2 =>


The "+" root:    ( -7 + sqrt(29)) /2

The "-" root:    ( -7 - sqrt(29)) /2




Regards,  

MrB


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