Firstly, you would subtract 7 from both sides, leaving you with 3m=21. You would then divide by three in order to be left with total value of m. 3m divided by 3 is m. 21 divided by 3 is 7. Therefore m=7 :)
        
             
        
        
        
The domain of F(x) is all real numbers. 
This is due to the fact that the function has no undefined points or domain constraints.
        
             
        
        
        
Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:

The expected value of robbing the cash register is:

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
 
        
             
        
        
        
(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2
The final answer is m=-2~