Factor the denominator of the rational function y= 2x/x^2-16

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

x^2-16 factors to (x-4)(x+4)

You use the difference of squares rule here which is

a^2 - b^2 = (a-b)(a+b)

You might be interested in

What two terms are being multiplied in the expression 6(p + 7q)?

Korvikt [17]

C because PEMDAS
(Please excuse my dear aunt sally)

7 0

3 years ago

How do i find the value of x in x+7=2

Shkiper50 [21]

Answer:

x = -5

Step-by-step explanation:

Get x by itself on the left side. To do that, subtract the 7. Do to both sides. This makes x = -5

8 0

3 years ago

Read 2 more answers

The density of a American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circ

LuckyWell [14K]

Check the picture below.

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=4.5 \end{cases}\implies 4.5=2\pi r\implies \cfrac{4.5}{2\pi }=r \\\\[-0.35em] ~\dotfill$

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} h=8\\ r=\frac{4.5}{2\pi } \end{cases}\implies V=\pi \left( \cfrac{4.5}{2\pi } \right)^2(8)\implies V=\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \cdot \cfrac{20.25}{\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\underset{\pi }{\begin{matrix} \pi^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }}(\stackrel{2}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}})$

$\bf V=\cfrac{40.5}{\pi }~cm^3~\hspace{9em} \stackrel{\textit{since density is }752kg~per~cm^3}{density\implies 752\left( \cfrac{40.5}{\pi } \right)}\qquad \approx ~~9694$