Answer: y=1/3x-2
Step-by-step explanation:
y=Mx+b
1/3 is rise over run
-2 is the y intercept
Answer:
3/83
Step-by-step explanation:
Probability: the ways to get the desired result / all of the possible results.
To solve, plug in the values they give.
There are 6 packages of wild-caught shrimp from Honduras. (The desired result)
Now, to find all of the possible results, add the total number of packages together.
27 + 40 + 52 + 13 + 6 + 28 = 166
6/166 = 3/83
Thus, the answer is a 3/83 chance of getting a package of wild-caught shrimp came from Honduras.
Take the homogeneous part and find the roots to the characteristic equation:

This means the characteristic solution is

.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form

. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With

and

, you're looking for a particular solution of the form

. The functions

satisfy


where

is the Wronskian determinant of the two characteristic solutions.

So you have




So you end up with a solution

but since

is already accounted for in the characteristic solution, the particular solution is then

so that the general solution is
Answer:
I wont give you the answer because i know you can do it just multiply all the numbers its easy
Step-by-step explanation: