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Mathematics

1 answer:

natali 33 [55]4 years ago

5 0

The answer is C) A triangle with three equal sides because that’s the only one that makes sense.

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Find the sale pice is the original price is $82 and discount is 10%

Tpy6a [65]

First you should find the discount so you can say:
10/100 = ?/82
so ? is your discount and ? is equal to:
? = 82*10/100 = 8.2
so your discount is $8.2 and your sale price will be:
$82 - $8.2 = $73.8 :)))
I hope this is helpful
have a nice day

7 0

3 years ago

What is the answer?<br><br> Y=x-6 and y=2x

Rashid [163]

$\begin{cases}y=x-6\\y=2x\end{cases}\implies~x-6=2x\implies~x=-6$

which means

$y=x-6=y=-6-6=-12$

4 0

4 years ago

Read 2 more answers

Find the following integral

ololo11 [35]

There's nothing preventing us from computing one integral at a time:

$\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2$

$\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2$

$\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx$

Expand the integrand completely:

$x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x$

Then

$\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}$