Simplify the algebraic expression completely.
Simplify
completely.
Simplify completely.

Simplify the expression completely.
Solve
over all real numbers.
What are the vertical asymptotes of
Determine all possible functions with an asyptote of x = 4
Determine the number of horizontal and vertical asyptotes for
What are the approximate solutions to this system of equations?

Identify the y-coordinate of each point in the solution set of the system of equations.
The graph of functions f(x) and g(x) are shown in the graph. How many solutions does the system have?

Simplify f(g(x)) in terms of x if
Given
Which graph represents f(g(x))?
Determin the inverse of
Which of the following scenarios represents a combination?
Twelve runners are in a cross country race. How many different ways
can they finish first, second, and third?
If a temperature is constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet. What is the constant of proportionality for this variation?
The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same diameter.
The weights of eggs produced on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4 ounces. To be graded extra large, an egg must weigh at least 2 ounces. What is the probability that an egg from this farm will be graded extra large?
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. What is the probability that if a radial tire is purchased at random, it will last between 20,000 and 35,000 miles?