Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign                   Taking -(ve) sign
(9+√69)/6=0                           (9-√69)/6=0
∴(9+√69)/6=0                         ∴(9-√69)/6=0
[∵They cannot be further solved]
 
        
             
        
        
        
Answer:
352 ft (squared)  , he will need 12 paint cans 
Step-by-step explanation:
Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12
 
        
             
        
        
        
Answer:
The number of words that can be formed from the word "LITERATURE" is 453600
Step-by-step explanation:
Given
Word: LITERATURE
Required: Number of 10 letter word that can be formed
The number of letters in the word "LITERATURE" is 10
But some letters are repeated; These letters are T, E and R.
Each of the letters are repeated twice (2 times)
i.e. 
Number of T = 2
Number of E = 2
Number of R = 2
To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;
Number of words that can be formed = 
Number of words = 
Number of words = 
Number of words = 453600
Hence, the number of words that can be formed from the word "LITERATURE" is 453600
 
        
             
        
        
        
ANSWER

EXPLANATION
The given function is 

We rewrite this function to obtain,

We now compare this function to 

We have 

This implies that,

The vertex is (2,-11).
The focus is 


