Emeli Hagan
2021-09-27
Answered

Solve the rational equation.

$\frac{x}{x-10}-6=\frac{10}{x-10}$

You can still ask an expert for help

Arnold Odonnell

Answered 2021-09-28
Author has **109** answers

Step 1

Consider the equation

multiply both sides by (x-10) and simplify it

Step 2

use distributive property on

subtract 60 both sides and simplify it

Now divide both sides by -5 and simplify it

Hence, the value of x=10.

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A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).

a) with what speed do the entwined foes start to slide acrossthe floor?

b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

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Find a least squares solution of Ax=b by constructing and solving the normal equations.

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$\stackrel{\u2015}{x}=$ ?

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What is the prime factorization of 120?

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$2\cdot {3}^{6}$

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22*5

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how to find the integral of a rational logarithmic function

I can't seem to figure this one out,

it is:

$\int \frac{\mathrm{ln}(x)}{x}dx$

I substituted $u$ for $\mathrm{ln}(x)$, so $u=\mathrm{ln}(x)$ and $du=\frac{1}{x}dx$

then to find $x$ in terms of $u$: ${e}^{u}=x$

so I get

$\int \frac{u}{{e}^{{u}^{2}}}du$

from here I can't figure out where to go, I have tried playing around with the numbers but after a few hours I figured I'd ask someone here.

I sense that I must somehow get it to the form

$\int \frac{1}{x}dx,$

but i an not sure how to get a $1$ in the numerator.

I can't seem to figure this one out,

it is:

$\int \frac{\mathrm{ln}(x)}{x}dx$

I substituted $u$ for $\mathrm{ln}(x)$, so $u=\mathrm{ln}(x)$ and $du=\frac{1}{x}dx$

then to find $x$ in terms of $u$: ${e}^{u}=x$

so I get

$\int \frac{u}{{e}^{{u}^{2}}}du$

from here I can't figure out where to go, I have tried playing around with the numbers but after a few hours I figured I'd ask someone here.

I sense that I must somehow get it to the form

$\int \frac{1}{x}dx,$

but i an not sure how to get a $1$ in the numerator.

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Solve:

$8(m+1{)}^{-2}-30(m+1{)}^{-1}+7=0$

$8(m+1{)}^{-2}-30(m+1{)}^{-1}+7=0$

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Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.

$8{x}^{2}+88x+80$