Ask question

Ask question

All categories

3 years ago

10

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

1 answer:

prisoha [69]3 years ago

8 0

You add 450 to 660 and get —-960

You might be interested in

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

Read 2 more answers

Help me please don’t need an explanation just a quick answer

Vikki [24]

Cfxgxhcgxjcbchcjchxjfhx

5 0

3 years ago