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lutik1710 [3]
3 years ago
7

What are the coordinates of the hole in the rational function? f(x)=x2+8x−9x2−1

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
The numerator factored is (x+9)(x-1)
The denominator factored is (x+1)(x-1)
The x coordinate for the hole comes from the like factor (x - 1).
Set it equal to zero.   x - 1 = 0  so x = 1
Plug the x value into the remaining fraction \frac{x+9}{x+1}
\frac{1+9}{1+1} = \frac{10}{2} =5
The answer is (1,5)
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\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\
\left. \qquad \qquad \right.(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \qquad 
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A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\to &
\begin{array}{llll}
8000
\end{array}\\
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