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3 years ago

What is the solution to the inequality below? will give brainliest for correct answer

Mathematics

1 answer:

Mumz [18]3 years ago

7 0

Answer: A

Step-by-step explanation:

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Can someone help me x-7=2x-6

Effectus [21]

X=-1
x-7=2x-6
subtract x from both sides.
-7=x-6
add 6 on both sides.

7 0

3 years ago

Read 2 more answers

6 times a number is greater than 20 more than that number what are the possible values of that number

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

6x > x + 20

5x > 20

x > 4

6 0

2 years ago

Equation with angles can someone help me please

Bas_tet [7]

Answer:

x = 33/3 = 11

Step-by-step explanation:

A and B are corresponding angles and are therefore equal.

Thus, A = 8x - 8 = B = 5x + 25, or

3x = 33

and so x = 33/3 = 11

8 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

Inspired by the works of Neil Dawson and Bert Flugelman, Kassidy drafts a design for a modern sculpture celebrating education. T

Umnica [9.8K]

Inspired by the works of Neil Dawson and Bert Flugelman, Kassidy drafts a design for a modern sculpture, the amount of steel Kassidy will need is mathematically given as

SA=16.094711 ft^2

<h3>What is the amount of steel Kassidy will need to create the sculpture if the base of the sculpture is 4-feet tall and has a 2-foot diameter.?</h3>

Generally, the equation for the surface area of a cone is mathematically given as

SA=πr(rπ+√(h^2+r^2))

Therefore

SA=πr(rπ+√(h^2+r^2))

SA=π*1(1+√(4^2+1^2))

SA=16.094711 ft^2

In conclusion, the amount of steel Kassidy will need is

SA=16.094711 ft^2