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3 years ago

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

gregori [183]

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:

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

5 0

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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7nadin3 [17]

Answer:

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5 0

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 ...

4.5w +4 = 2(w +1.5w)

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

8 = w . . . . . . . . . multiply by 2

length = 1.5×8 = 12

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

4 0

3 years ago

Help with this problem pleaseeee

RUDIKE [14]

Step-by-step explanation:

(16 ×7×3)+(1/2×3×5×6)

=336+45

=381cubic inch

3 0

3 years ago