Answer:
i would say its b
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
D
Step-by-step explanation:
I can explain if you need. Write in comments if you do need.
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
We have to take the derivatives for both functions and replace in the differential equation. Hence
for y=e^{-5x}:

for y=e^{6x}:

Now we replace in the differential equation  y'' − y' − 30y = 0
for y=e^{-5x}:

for y=e^{6x}:

Now, to know if both function are linearly independent we calculate the Wronskian


I hope this is useful for you 
Best regard
 
        
             
        
        
        
Answer:
The spinner
Step-by-step explanation:
The spinner will work because there is a 2/5 chance of landing on green everytime it is spun