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3 years ago

1) Which rate is the lowest price?

1 answer:

3 0

1. 2.5/5 = .50
2.4/6 = .40 Lowest price
3.0/6 = .50
2.4/4 = .60

2. 150/6 = 25 Equivalent
50/1.5 = 33.33
100/3.8 = 26.32
75/3 = 25 Equivalent

3. 30/1 = 30
90/2 = 45
180/3 = 60 Fastest
240/6 = 40

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Is this the correct way

Anon25 [30]

yes it is hope this helps you

3 0

2 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

People are randomly chosen from a group of 7 boys and 5 girls. Determine which scenario is more likely to happen.

andre [41]

Answer:

Step-by-step explanation

Well the boys can be chosen again all in a row but the girls cdan't therfore the answer is A

Hope This Was Helpful!

6 0

2 years ago

Bbbbbbbbbbbbbbbbbbbbb

Troyanec [42]

The graph has a y-intercept of 2 and is shifted to the right 6 from the parent function.

The parent function, y=√x, looks like a parabola laid on its side. We generally only consider the positive square root unless told otherwise. Since we have √(x-6) instead of just √x, the graph is shifted to the right 6 units. The +2 at the end of the equation shifts the graph up 2.

3 0

2 years ago

What is the perimeter of this shape?

PSYCHO15rus [73]

<u>Given</u>:

Given that the sides of the shape.

The given shape consists of 8 sides.

We need to determine the perimeter of the given shape.

<u>Perimeter</u>:

The perimeter of the figure can be determined by adding all the lengths of the sides of the shape.

Thus, we have;

$Perimeter=10+4+2+4+6+4+2+4$