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2 years ago

-2(x+4)=-2(x+4)-6 equations

Mathematics

2 answers:

Musya8 [376]2 years ago

8 0

No solutions, I don’t think there’re any solutions

aleksandrvk [35]2 years ago

6 0

The answer I came up with is no solution.

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A deck is in the shape of a square. The area of the deck is 576 swuare feet. which is the length of each side of the deck

NNADVOKAT [17]

A) 24

All side lengths of a square are equal so you take the square root of 576 to get two 24. If you try it back: 24*24 (w*h) to get 576.

7 0

2 years ago

Read 2 more answers

If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

Stels [109]

So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14

4 0

3 years ago

Can I get help with finding the Fourier cosine series of F(x) = x - x^2

trapecia [35]

Assuming you want the cosine series expansion over an arbitrary symmetric interval $[-L,L]$ , $L\neq0$ , the cosine series is given by

$f_C(x)=\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos nx$

You have

$a_0=\displaystyle\frac1L\int_{-L}^Lf(x)\,\mathrm dx$
$a_0=\dfrac1L\left(\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{x=-L}^{x=L}$
$a_0=\dfrac1L\left(\left(\dfrac{L^2}2-\dfrac{L^3}3\right)-\left(\dfrac{(-L)^2}2-\dfrac{(-L)^3}3\right)\right)$
$a_0=-\dfrac{2L^2}3$

$a_n=\displaystyle\frac1L\int_{-L}^Lf(x)\cos nx\,\mathrm dx$

Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of

$\displaystyle\int(x-x^2)\cos nx\,\mathrm dx=\frac{(1-2x)\cos nx}{n^2}-\dfrac{(2+n^2x-n^2x^2)\sin nx}{n^3}$

and so

$a_n=-\dfrac{4L\cos nL}{n^2}+\dfrac{(4-2n^2L^2)\sin nL}{n^3}$

So the cosine series for $f(x)$ periodic over an interval $[-L,L]$ is

$f_C(x)=-\dfrac{L^2}3+\displaystyle\sum_{n\ge1}\left(-\dfrac{4L\cos nL}{n^2L}+\dfrac{(4-2n^2L^2)\sin nL}{n^3L}\right)\cos nx$

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3 years ago

1.2million users of social media via mobile devices were added each day. How many users added on an average each second

Pachacha [2.7K]

Answer: 14 new users are added per second

Step-by-step explanation:

1,200,000/24 = 50000

50000/60 = 833.333333333

833.333333333/60 = 13.8888888889

then round because it said on average

so if we round 13.8888888889 we get 14

so on average 14 new users are added per second.

5 0

3 years ago

11. What method can be used to prove these two triangles are congruent?

zubka84 [21]

This would be SAS. If that’s wrong I’m sorry but it’s the only thing that makes sense, the dashes indicate they are the same and then the circle at the point also indicates that they’re the same so you have two sides and one angle that are the same, so it should be SAS.

5 0

2 years ago