Exam 12: Preliminary Concepts

The distance that a car travels from the time a driver decides to apply the brakes to the time the car comes to a complete stop is called the braking distance. For a certain automobile traveling v mph, the braking distance d (in feet)is given by . Find the braking distance of a car that is traveling 35 mph. Round to nearest whole number.

Given that , , and determine the following:

Write the exponential expression below in simplest form.

Write the following exponential expression in simplest form.

Write the following number in scientific notation. 226,000

Perform the indicated operation(s)below and simplify.

On an expressway, the recommended safe distance between cars in feet is given by where v is the speed of the car in miles per hour. Find the safe distance when miles per hour. Round your answer to the nearest tenth.

Use the general factoring strategy to completely factor the following polynomial. It the polynomial does not factor, then state that it is nonfactorable over the integers.

Find the indicated product and express the result in simplest form.

List the four smallest elements in the following set.

Simplify the rational expression below.

Evaluate the expression below.

Write in interval notation.

Graph the following set.

Simplify the following radical expression.

The height, in feet, of a ball t seconds after it is thrown upward is given by . Find the height of the ball 4 seconds after it has been released.

The fuel efficiency (in miles per gallon of gas)of a car is given by the expression where v is the speed of the car in miles per hour. Find the fuel efficiency when miles per hour. Round your answer to the nearest tenth.

Determine if the following real number is both composite and rational, both prime and rational, only rational or only irrational.

Simplify the following rational expression.

Factor the trinomial below over the integers.