9ebed1…: “Because of a spring bird”

$\newenvironment {prompt}{}{} \newcommand {\accordion }[0]{} \newcommand {\ungraded }[0]{} \newcommand {\xmDefaultPreamble }[0]{xmPreamble.tex} \newcommand {\xmDefaultPrintstyle }[0]{xmPrintstyle.sty} \newcommand {\todo }[0]{} \newcommand {\oiint }[0]{{\large \bigcirc }\kern -1.56em\iint } \newcommand {\mooculus }[0]{\textsf {\textbf {MOOC}\textnormal {\textsf {ULUS}}}} \newcommand {\sagemath }[0]{\textsf {SageMath}} \newcommand {\surfaceColor }[0]{violet} \newcommand {\surfaceColorTwo }[0]{redyellow} \newcommand {\sliceColor }[0]{greenyellow} \newcommand {\vector }[1]{\left \langle #1\right \rangle } \newcommand {\sectionOutcomes }[0]{}$

Let $M(n) = \frac {n-1}{2n+5}$

Let $a$ and $b$ be real numbers.

Evaluate

\[ M(a+b) = \answer {\frac {a+b-1}{2(a+b)+5}} \]

Evaluate

\[ M(a)+b = \answer {\frac {a-1}{2a+5}+b} \]

Evaluate

\[ a \, M(n)+b = \answer {a \frac {n-1}{2n+5} + b} \]

2025-05-21 17:05:33