Answer:
2/3
Step-by-step explanation:
you reduce the fraction to get the scale factor. so 8/12 reduces down to 2/3 which is the scale factor
 
        
             
        
        
        
Answer:
4
Step-by-step explanation:
set

constrain:

Partial derivatives:

Lagrange multiplier:

![\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C1%5Cend%7Barray%7D%5Cright%5D%3Da%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2x%5C%5C2y%5Cend%7Barray%7D%5Cright%5D%2Bb%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3x%5E2%5C%5C3y%5E2%5Cend%7Barray%7D%5Cright%5D)
4 equations:

By solving:

Second mathod:
Solve for x^2+y^2 = 7, x^3+y^3=10 first:

The maximum is 4
 
        
             
        
        
        
Answer:
-3
Step-by-step explanation:
if x= -3 
the denominator becomes 0 and the fraction becomes undefined.
 
        
             
        
        
        
It is a mixed number because 12/2 can be written as 6 instead of 12/2