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3 years ago

An art class is planning to paint a mural on an outside wall.The figure below is a scale

Mathematics

1 answer:

Leya [2.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

I dont see The figure to hepl you

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Write an equation that represents the line.<br> Use exact numbers.

mariarad [96]

Answer:

y = .75x - 4.5

Step-by-step explanation:

y = mx + b

m = slope ; b = y-int

slope = rise/ run = 3/4 = .75

y = .75x + b

Because it is hard to determine the exact y-intercept, we plug in a point (2,-3):

-3 = .75(2) + b

-3 = 1.5 + b

-4.5 = b -->

y = .75x - 4.5

5 0

3 years ago

Brandon jogs 11.3 miles on Mondays and Fridays and 7.25 miles Tuesday through Thursday each week. Write an expression that could

fenix001 [56]

Expression: 22.6x + 21.75x

22.6(3) + 21.75(3)
67.8 + 65.25
133.05

6 0

3 years ago

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

(4+2i)+(-3-5) need help plz

ivolga24 [154]

4+2=6

-3-5 = -8

6 + -8 = -2.

8 0

2 years ago

Read 2 more answers

I need help with this pleaseeeeee

ella [17]

Which is your question?

8 0

3 years ago