HURRY Moira uses a difference quotient to determine the average rate of change of f(x) = x^2 + 14x from x = –11 to x = 8.

She shows the following work.
(see picture)

Which statement summarizes Moira’s work?
A. She correctly found the average rate of change.
B. She expanded the expression for f(x + h) incorrectly.
C. She simplified the difference quotient incorrectly. f(x+h) - f(x) / h
D. She substituted incorrectly when evaluating the difference quotient.

There are a total of 75 students in the robotics club and science club. the science club has 9 more students than the robotics club. how many students are in the science club?

Lucy is a dress maker. she sews \dfrac47 7 4 ? of a dress in \dfrac34 4 3 ? hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable.

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?