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blondinia [14]
3 years ago
7

What is the common difference in this equation? f(n) = 7n + 2

Mathematics
1 answer:
alekssr [168]3 years ago
7 0
The common difference is 2
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vampirchik [111]

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Step-by-step explanation:

"3000 randomly selected teenagers"

"3000 randomly selected teenagers across the state"

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3 years ago
State the vertical asymptote of the rational function. f(x) =((x-9)(x+7))/(x^2-4)
Lubov Fominskaja [6]
D:x^2-4\not=0\\
D:x^2\not=4\\
D:x\not=-2 \wedge x\not =2\\\\
\displaystyle
\lim_{x\to-2^-}\dfrac{(x-9)(x+7)}{x^2-4}=\\
\dfrac{(-2-9)(-2+7)}{(-2^-)^2-4}=\dfrac{-11\cdot5}{4^+-4}=\dfrac{-55}{0^+}=-55\cdot\infty=-\infty\\
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\displaystyle
\lim_{x\to2^-}\dfrac{(x-9)(x+7)}{x^2-4}=\\
\dfrac{(2-9)(2+7)}{(2^-)^2-4}=\dfrac{-7\cdot9}{4^--4}=\dfrac{-63}{0^-}=-63\cdot(-\infty)=\infty\\
\dfrac{(2-9)(2+7)}{(2^+)^2-4}=\dfrac{-7\cdot9}{4^+-4}=\dfrac{-63}{0^+}=-63\cdot\infty=-\infty\\

So, the vertical asymptotes are x=\pm 2
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