Final answer:
The student's question involves simplifying a rational function, but the provided references span several mathematical areas including solving quadratic equations, perfect squares, linear graphing, and statistical analysis which are all key concepts in High School Mathematics.
Step-by-step explanation:
The student's question M(x) = (x - 4)(x + 5)/(x^2 + 7x + 10) seems to be related to rational functions and simplifying them. However, the provided information includes several mathematical contexts ranging from simple algebra to statistics and graphing linear equations. A compelling answer extracting common themes would focus on solving quadratic equations, understanding perfect squares, graphing linear functions, and interpreting statistical data presented in tables and graphs.
For instance, in the equation x² + 0.0211x - 0.0211 = 0, this is a quadratic equation, and one could use the quadratic formula to find the values of x, where ax² + bx + c = 0. Similarly, when dealing with y = 9 + 3x, this represents a linear equation with a slope (m) of 3 and a y-intercept (b) of 9. Plugging different x-values and plotting them would result in a line graph. Understanding these concepts are fundamental in High School Mathematics and can be found in areas such as Algebra I and II, as well as Pre-Calculus.
Regarding statistical analysis, the information provided references concepts such as mean (μ), standard deviation (σ), and least-squares regression lines, which are vital in interpreting and analyzing data presented statistically. For example, the formula (x - μ)²p(x) is likely referring to the calculation of variance or standard deviation in a probability distribution.