how much money did they start off with?
Since m + n = 7 we know m = 7-n. So now we have 2n - 3(7-n) = 6. From this we get n = -3. So now we know m - 3 = 7 so m = 10. So now we have 3(-3) + 2(10) = ? and this comes out as 11
Answer:
2, 4, 5, and 6 have the same pair of solutions.
Step-by-step explanation:
1. n(n+3)(n-4) = 0
2. 2n(4n+6)(6n-4) = 0
3. 2n(6-4n)(4n-6n) = 0
4. n(2n+3)(3n-2) = 0
5. 2n(2n+3)(3n-2) = 0
6. 3n(6n+9)(9n-6) = 0
Answers:
1. n = 0, -3, 4
2. n = 0, -3/2, 2/3
3. n = 0, 3/2
4. n = 0, -3/2, 2/3
5. n = 0, -3/2, 2/3
6. n = 0, -3/2, 2/3
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
