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2 years ago

What is the missing constant term in the perfect square that starts with x^2-20xx 2 −20xx, squared, minus, 20, x ?

Mathematics

1 answer:

tangare [24]2 years ago

8 0

Answer:

Missing constant: 100

Step-by-step explanation:

perfect square (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

(x - 10)^2 = x^2 - 20x + 100

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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

Sidney is making greeting cards, which she will sell by the box at an arts fair. She paid $32 for a booth at the fair, and the m

borishaifa [10]

So think of it like this she starts off $32 negative and subtract 3 from each box of cards she makes . So each box of cards she will make $8 that being said

32/8 =4 (it will take 4 box of cards to pay off her booth expense).

Sales would be 11x 4 =44

Expenditures would be 3x4 =32 (the amount used to make cards ) +32(the amount paid for the booth)

Which in total would be $64

4 0

3 years ago

PLEASE PLEASE HELP WILL GIVE GIVE BRAINLIEST PLS!!!!!!!!!! Create a factorable polynomial with a GCF of 3x. Rewrite that polynom

Naily [24]

Answer:

Step-by-step explanation:

you can think in a reverse way:

Take

$3x(x^2+2x+3y^2)= 3x^3+6x^2+9xy^2.$

So the answer is

$3x^3+6x^2+9xy^2 = 3x(x^2+2x+3y^2)$

6 0

3 years ago

Help please and thank you !!!!!!!!!!!!!!!

Novay_Z [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

John drove from house to work at an average speed of 30 mph, trip took 40 minutes. How far in meters is his house to work?

AysviL [449]

Answer:

20 meters

Step-by-step explanation:

Firstly we need to know that distance = speed * time

In this particular question, we have the time and the speed, we are only told to find the distance.

Now as we can see, the units are not consistent. While the average speed is 30mph, the time is not in hours but minutes. So practically, we have to convert the time to hours.

Since there are 60 minutes in an hour, the number of hours in 40 minutes would be 40/60 = 2/3 hours.

Now we can proceed to find the distance. We simply multiply the average speed with the time.

Hence, that is 30 * 2/3 = 20 meters

5 0

2 years ago