Let f be the function defined by f (x) = x + lnx. What is the value of c for which the instantaneous rate of change of f at x = c is the same as the average rate of change of f over [1, 4]?

Area of congruent shapes

What expression is equivalent to n^2+26n+88 for all values of n. A. (n+8) (n+11) B. (n+4) (n+22) C. (n+4) (n+24) D. (n+8) (n+18)

Jayden has been reading 275-page book for English class. On average, he has read about 10 pages in 15 minutes (min). With a deadline looming, Jayden realizes that he won't finish in time unless he skims through the rest of the book.

Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f (x), x years after 2010? a) f (x) = 0.

Factor 4x^+9 if it is not factorable in integers answer by prime

Consider the following figure: What solid 3D object is produced by rotating the rectangle about line m?

In a drinking competition, Sumit drinks 75 ounces of juice (j) in 2 hours (t). Write an equation in the form of j=rt that represents the relationship between the amount of juice (j) and time (t), where r is the constant of proportionality.

How to do multiplication

Factor the expression below. 49a2 - 25b2 Which of the following binomials is a factor of the expression?

A 30degree, - 60degree, - 90degree triangle had a hypotenuse of 10. What is the length of the longer leg of the triangle? If anyone can explain how to figure this out I will be so grateful!