Answer:
Step-by-step explanation:
where f(x) is replaced by y
Take Laplace on both sides

We can resolve into partial fraction to get Y = L(y)
Let this equals

Solving we get
s=-9
24C = 10 or C =5/12
s=-2: A=10/12=5/6
s=-4: B = -5/4
Taking inverse Laplace

Answer:
the equation of the line is y=-3x+1
have a great day! hope this helped :D
The patient is recommended to take 24 ounces of coffee per day.
<u>Step-by-step explanation:</u>
Patient normal intake of coffee daily = 5 times 12 ounces
= 5 × 12 = 60 ounces
Doctor recommends to cut off 60 % of the normal intake of coffee.
And advised to take only 40 % of the daily intake of coffee.
So 60 % of 60 ounces can be calculated as,
= 36 ounces
40 % of 60 ounces is 24 ounces.
So 60 - 36 = 24 ounces of coffee per day
3x+50 = 6x - 10
6x -3x = 50+10
3x = 60
x = 20
answer
x = 20