Answer:


Step-by-step explanation:
we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.



Rewrite as perfect squares

remember that





Answer:
The differential equation is ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Step-by-step explanation:
From the question we are told that
The number of students are 
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
![\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5C%20%5C%20%5C%20%5Calpha%5C%20%5C%20%5C%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
=> ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Answer:
8/5
Step-by-step explanation:
Answer:
7x^2 + 14x - 12
Step-by-step explanation:
Add like terms:
(4x + 8x - 5) + (3x2 + 6x - 7) becomes:
4x^2 + 8x - 5 or (grouping like terms in columns):
+ 3x^2 + 6x - 7
---------------------
7x^2 + 14x - 12
Answer:
(4/2 × 2/2 × 3/2) in.³ =3 in.³
Step-by-step explanation: