Find all the values of x for which the function is differentiable.

f (x) = (x^3-8) / (x^2-4x-5)

Allison separates her 23 stickers into 4 equal pile. how many stickers does she have left over

The total cost for two family cars was $71,1482 the cost of one car was $38,295 write an equation using a variable to represent the cost of the family's other car.

Solve for x. square root (3x - 1) = 7 What is the root? If there is no root, choose none. 12 16 16 2/3 none

A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost, ƒ (m) is a function of the number of miles, m, that the car is driven.

The family arcade center charges an entry fee of $11 plus an additional $1 per game played. Which of the following functions describes the average expense for a player per game played, in terms of x, the number of games played? A. c (x) = $12/x B.

If f (x) = x^2+9x and g (x) = 1/x, find f (g (-1)).

You roll a fair number cube Find each probability 1. P (3, then 5) 2. P2, then) 3. P. then odd)

The factor theorem of algebra states that if a polynomial, P (x), is divided by x-a, then the remainder is P (a). Verify the remainder theorem by showing that when x^2-2x-16 is divided by x+3 the remainder is the same as P (-3).

Jane cuts a piece of twine into three pieces. The second pieces is 7 times as long as the first piece, and the third piece is 5 feet longer than the first piece.

Meg has a piece of poster board that is two and two-fifths feet wide. she needs to fold it into three equal sections. how wide will each section be? two-thirds feet four-fifths feet six and two-fifths feet seven and one-fifth feet