I think the answer is true :)
Answer:
There are 8 dimes there.
Step-by-step explanation:
This question is solved used a system of equations.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
19 coins
This means that x + y = 19.
A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So
0.05x + 0.1y = 1.35
How many dimes are there?
We have to find y.
From the first equation: x = 19 - y.
Replacing in the second:
0.05(19 - y) + 0.1y = 1.35
0.95 - 0.05y + 0.1y = 1.35
0.05y = 0.4
y = 0.4/0.05
y = 8
There are 8 dimes there.
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
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1)421x=6
x=70
2)x+6(6x)=420
x+36x=420
37x=420
x=11
3)x-6x=420
5x=420
x=84
4)x+6x=420
7x=420
x=60
