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3 years ago

Draw an array for the equation 5+5+5=15

Mathematics

1 answer:

kicyunya [14]3 years ago

7 0

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I'm not for sure if this is what you meant though sorry

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|5x-4|>16 solutions

lions [1.4K]

Answer:

x >4 or x < -12/5

Step-by-step explanation:

An absolute value has 2 solutions, a positive and a negative. Remember to flip the inequality for the negative solution

|5x-4|>16

5x-4 > 16 5x-4 < -16

Add 4 to each side

5x-4 +4> 16+4 or 5x-4+4 < -16+4

5x > 20 or 5x < -12

Divide each side by 5

5x/5 > 20/5 or 5x/5 < -12/5

x >4 or x < -12/5

5 0

2 years ago

Need help ace<br><br> help pls

Alexandra [31]

Answer:

Hello I am an ace! answer: 8

Step-by-step explanation:

Volume for a cube is just length × width × height so you only need to know 1 for a cube because they will all be the same number so 8 is the answer because 8 × 8 × 8 = 512 Hope this helps!

8 0

2 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

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

4 0

3 years ago

The values shown represent the y-values that correspond to x-values from x = 1 through x = 5.

rjkz [21]

The answer is B because every number is adding up to 6

7 0

2 years ago

Explain how you would find the height of a rectangular prism if you know the volume is 60 centimeters and that the area of the b

ZanzabumX [31]

U have to add 60+10 then 60-10=50+20=70 and that is the answer that u u get addition subtraction those are the only to that u use.

4 0

3 years ago