Answer:
See below.
Step-by-step explanation:
x^2 + 2 = 3^2/3 + 3^-2/3 
 x^2 = 3^2/3 + 3^-2/3  - 2
x =  √(3^2/3 + 3^-2/3  - 2)
x = 0.748888296
Substitute for x  in  3x^3 + 9x - 8:
3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.
So it is proved.
 
        
                    
             
        
        
        
Answer:
$3.25 per gallon
Step-by-step explanation:
She had $30 and now has $4, so she spent $30- $4 = $26
With $24 she bought 8 gallons of gas.  
$26/(8 gallons) = $3.25/(1 gallon)      [ divide 26 by 8 to get the unit rate]
 She spent $3.25 per gallon
 
        
                    
             
        
        
        
Answer:
29.9 °F
Step-by-step explanation:
The formular for mean is given as;
Mean = Sum of Terms / Number of terms
Number of terms = 6
Sum of terms = 35.5  + 30.8  + 27.3  + 32.1  + 23.8  + 29.9 = 179.4
Mean = 179.4 / 6 = 29.9
  
        
             
        
        
        
x-2 > 15 , bc yeah so yeah