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Ket [755]
3 years ago
12

How do I solve this

Mathematics
1 answer:
sdas [7]3 years ago
3 0
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}

\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}
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AURORKA [14]
Basically what is happening is:
You start out with 15. That 1st week you have 22% more than 15, or in other words 15*1.22. The following week you have 22% more than 22% more of 15, which is 15*1.22*1.22.

Now we can write a function that models this situation:
f(n): number of views
n: number of weeks since you started

f(n) = 15(1.22^n)

We want to find out how many views there are after four weeks, so plug 4 in for n.

f(4) = 15(1.22^4)
f(4) = 33.23

This means after 4 weeks you can expect the video to have 33 views.
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AURORKA [14]

Answer:

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Step-by-step explanation:

Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.

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kenny6666 [7]

Answer:

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If really want equation answer it would be -7 but it simplifying. :)

Step-by-step explanation:

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Simplify parenthesis first.

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Anna [14]

Answer:7

Step-by-step explanation:

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