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

Answer:
the slope is 5
Step-by-step explanation:
y = 5 x – 3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is 5 and the y intercept is -3
Answer:
a) 
b) 
c) Yes.
Step-by-step explanation:
We have that:

And we have $10 free of taxes.
Making x= number of tires to buy, then we have that the total cost of tires is:

So, what we pay for taxes is given by:

a) Then, according to the above, we can write down the total cost before the discount as:

b) And the total cost after discounts, is then given by:

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.
Answer:
The probability of picking a blue is 3/11.
Step-by-step explanation:
Answer:
4x+5y+23
Step-by-step explanation:
4(x+2)+5(y+3)
4x+8+5y+15
4x+5y+8+15
4x+5y+23