Answer:
x = 8/9
Step-by-step explanation:
6(3x - 4) = -8
Distribute the 6
18x -24 = -8
Add 24 to each side
18x -24+24 = -8+24
18x = 16
Divide each side by 18
18x/18 =16/18
Simplify the fraction by dividing top and bottom by 2
x = 8/9
 
        
                    
             
        
        
        
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Vertex:(-19/39,-49/39)
x-int: (-4/13,0) and (-2/3,0)
        
             
        
        
        
Answer:
Prime numbers are the number that are divisible only by two whole numbers : 1 and itself. The first five prime numbers are : 2,3,5,7 and 11. The sum of the first five prime numbers is 2+3+5+7+11 = 28.
Step-by-step explanation:
The answer is 28
 
        
                    
             
        
        
        
In order to factor a polynomial  , we have to find all its roots
, we have to find all its roots  so that we can rewrite the polynomial as
 so that we can rewrite the polynomial as

This is exactly the same idea we apply when we factor numbers: we look for all the primes that divide the number, and then we write

When talking about polynomials, the idea of prime numbers is represented by irreducible polynomials, i.e. polynomials with no roots.
So, we have to find a root of our polynomial. Using the rational root theorem, we can check that  is a solution:
 is a solution:

So, our polynomial is divisible by  . The long division yields
. The long division yields

Which is the same as

We can complete the factorization by breaking the quadratic equation: using the standard quadratic formula we can find the solutions

Which implies

And finally
