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3 years ago

How to simplify the product2n(n^2+3n+4)

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

$2n(n^2+3n+4)\\\\=(2n)(n^2)+(2n)(3n)+(2n)(4)\\\\=\boxed{2n^3+6n^2+8n}$

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F(x)=2x+3/4x+5<br>find f(-9)<br>

mylen [45]

$\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$f(x) = \frac{2x + 3}{4x + 5} \\$

For $f(-9)$ , put " $-9$ " for every value of " $x$ ".

$↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}\\$

$↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5} \\$

$↬ f(-9) = \frac{ - 15}{ - 31}\\$

$↬ f(-9)= \frac{15}{31}\\$

$↬f(-9)= 0.48\\$

$\bold{ \green{ \star{ \red{Mystique35}}}}⋆$

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3 years ago

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A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750.a. Calculate the mean a

DENIUS [597]

You can compute both the mean and second moment directly using the density function; in this case, it's

$f_X(x)=\begin{cases}\frac1{750-670}=\frac1{80}&\text{for }670\le x\le750\\0&\text{otherwise}\end{cases}$

Then the mean (first moment) is

$E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x\,\mathrm dx=710$

and the second moment is

$E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x^2\,\mathrm dx=\frac{1,513,900}3$

The second moment is useful in finding the variance, which is given by

$V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2=\dfrac{1,513,900}3-710^2=\dfrac{1600}3$

You get the standard deviation by taking the square root of the variance, and so

$\sqrt{V[X]}=\sqrt{\dfrac{1600}3}\approx23.09$

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3 years ago

F(x) = 2x^2<br> Find f(-6)

katrin2010 [14]

Answer:

f(-6) = 72

Step-by-step explanation:

Input -6 for x :

2(-6)²

Complete with P.E.M.D.A.S :

2(36)

then :

so therefore :

f(-6) = 72

f of x equals 72

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3 years ago

Hurry!! Answer it please:))

Ksivusya [100]

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

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3 years ago

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What is the length of side x? <br>ABCD ~ EFGH

wolverine [178]

Answer:

I believe it would be 0.6 Because 1.8 is 1.2x1.5 so if you take 0.4x1.5 you get 0.6

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