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3 years ago

Which expression is the lcd of these fractions? 9/m^4 and 1/2

Mathematics

1 answer:

I am Lyosha [343]3 years ago

8 0

Least common denom
look at denoms (bottom)

m^4 and 2
LCD is 2m^4
tada

18/(2m^4) and (m^4)/(2m^4)

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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:

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

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3 years ago

The equation y = 13x describes the amount of money Sarah earns, where x is the number of hours she works

enot [183]

Answer:

A) $14/hr B) Austin

Step-by-step explanation:

If he earns $140 in 10 hours you can divide 140 by 10 to find out how much he makes per hour

Sarah makes $13/hr which is $1 less than Austin

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3 years ago

A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of water are mixed with 1 part of fruit

Sidana [21]

Answer is A. 1/3 !!!

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2 years ago

Read 2 more answers

A restraunt is making a large amount of salad dressing. the recipe use 72 ounces of vinegar and 126 ounces of oil.what is the ra

Lemur [1.5K]

Oil to vinegar = 126:72 reduces to 7:4

5 0

3 years ago

the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?

dmitriy555 [2]

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

4 0

3 years ago