184/525
(this is me adding characters)
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)
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Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:

Bag 2:

Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.

For bag 1:


For bag 2:


The best buy is the one with smaller unit price
Hence, bag 2 is better to buy
-4j - 1 - 4j + 6 :Combine like terms (-4j and -4j) (-1 and 6)
<em><u>-8j + 5</u></em>