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mojhsa [17]
3 years ago
8

Solve the following inequality: -20 < 4- 2x

Mathematics
2 answers:
Bas_tet [7]3 years ago
7 0

Answer: The answer is x < 12 but i don't see that as an option.

Lina20 [59]3 years ago
4 0

Answer: 12 > x

Step-by-step explanation:

-20 < 4 - 2x

(Turn the sign into an equal sign.)

-20 = 4 - 2x

(Subtract four.)

- 24 = -2x

(Divide -2.)

12 = x

(Replace the equal sign with an inequality sign.)

12 > x

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Find the general solution of (x+3)y’=2y
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Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

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3 years ago
The perimeter of a rectangle is 24 inches. Find the dimensions if it’s length is 3 inches greater than its width?
Lapatulllka [165]

Answer:

Length: 9 inches

Width: 3 inches

3 0
3 years ago
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3 years ago
A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the di
vovikov84 [41]

Answer:

  8 by 12 units

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4

The perimeter is given by the formula ...

  P = 2(length + width)

Filling in the given values for the variables, we have ...

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  4 = 0.5w . . . . . . subtract 4.5w and collect terms

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  length = 1.5×8 = 12

The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.

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Step-by-step explanation:

(16 ×7×3)+(1/2×3×5×6)

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