Answer:
5mph over the speed limit
Step-by-step explanation:
In 1 hour the man drove 210/3.5=60 miles. 60mph is over the speed limit (55) by 5 mph.
 
        
             
        
        
        
It is 5 you just have to count
        
             
        
        
        
Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
        
             
        
        
        
The picture with the complete question is attached below :
Answer:
In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10
Step-by-step explanation:
90 * x - 90 * 12 = 90(x - 12)
From the question, x = 10
Hence, 
90(10 - 12) 
(90* 10) - (90 * 12) - - - > correct evaluation
900 - 1080
= - 180
Hence, both values in the bracket, that is 10 and - 12 should be multiplied by 90. Not just 10 alone.