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TiliK225 [7]
3 years ago
10

How do you factor 450 a2 +242c2 + 660ac​

Mathematics
1 answer:
prisoha [69]3 years ago
8 0
You add 450 to 660 and get —-960
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A banana has 90 calories. This is 5 calories less than one seventh of calories in a banana spilt. How many calories in a banana
AveGali [126]
Banana split has 7.857 calories
5 0
3 years ago
Read 2 more answers
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

Solve the homogeneous ODE,

y'' - 3y' + 2y = 0

The characteristic equation

r^2 - 3r + 2 = (r - 1) (r - 2) = 0

has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

and solve for c.

ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
A baseball team won 2 games. They played 17 games total. Which ratio shows how many games they lost
Contact [7]

Answer:

15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2)  so the ratio is 15/17

6 0
3 years ago
Multiply both sides of the each equation in order to get the coefficient to be an integer.
monitta
45= \frac{1}{2}a-3  //+3 \\ 48= \frac{1}{2} a// : \frac{1}{2} \\ 48: \frac{1}{2}=a=\ \textgreater \ 48*2=a=\ \textgreater \ a=96
Hope that helps.Have a nice day!! ^^
5 0
3 years ago
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Help me please don’t need an explanation just a quick answer
Vikki [24]
Cfxgxhcgxjcbchcjchxjfhx
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3 years ago
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