Answer: -5
-12 is going to stay a negative and your going to change the -7 into a positive 7 because your subtracting. And you make it a negative because 12 is a bigger number then 7
Given that y is the number of people in the line after 5 am and there are already 3 hours that have passed for 8 am, we substitute 3 to the equation to find the answer.
y = (-5.131)(3²) + 31.821(3) - 3.333
Simplifying,
y = 45.951
Thus, the answer is letter C. 46.
Answer:
(See attached graph)
Step-by-step explanation:
To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation
where the values of
are the roots:

Since the values of
are equal real roots, then the general solution is
.
Thus, the general solution for our given differential equation is
.
To account for both initial conditions, take the derivative of
, thus, 
Now, we can create our system of equations given our initial conditions:


We then solve the system of equations, which becomes easy since we already know that
:

Thus, our final solution is:

Answer:
18698
Step-by-step explanation: