A) The least common denominator is 12. Both 4 and 3 go into 12 evenly.
b) The least common denominator is 40. Both 5 and 8 go into 40 evenly.
Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is

Differentiating with respect to x

Again differentiating with respect to x

Putting the value of y, y' and y'' in left side of the differential equation


The auxiliary equation is




The complementary function is

y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral

[since
]
[ replace D by 0 , since L(0)≠0]

The complete solution is
y= C.F+P.I

The answer would be $78..
Answer: $255
Explanation: Multiply 300x15% to find the amount of money discounted which is $45. Then subtract the $45 from the $300 to get $255. Hope this helps!
Answer:
The probability of cured people in who took the remedy is 8/9.
Step-by-step explanation:
Success rate of the cold remedy = 88%
The number of people who took the remedy = 45
Now, 88% of 45 = 
and 39.6 ≈ 40
So, out of 45 people, the remedy worked on total 40 people.
Now, let E: Event of people being cured by cold remedy
Favorable outcomes = 40

or,
= 
Hence, the probability of cured people in who took the remedy is 8/9.