13 + 2x = 3
subtract 13 from both sides of the equation
2x = -10
divide by 2 on both sides
x = -5
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: 
Step-by-step explanation:
Given
River is flowing from south to North with a velocity of 
Motor boat traverses the river from east to west at a speed of 
South component of boat velocity must compensate the river velocity in order to travel in west direction.
The symptoms of depression and suicide are very similar, because most of the people that are depressed sometimes think about doing something to harm themselves. Plus depression causes them to stop eating, starts to be non social etc. The same goes for those who are having thoughts of suicide or have already done it.
Answer:
j ≥ -37
Step-by-step explanation:
j + 16 ≥ -21
move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract)
j ≥ -37
