The sum, , of the first consecutive integers can be found using Starting from 1, how many consecutive integers are required to make a sum of 21?
The height of a ball seconds after it was kicked from the ground is modeled by the function , where .
For how long does the ball remain in the air?
For how long does the ball remain above a height of 10 m?
Which of the following exceeds its multiplicative inverse by ?
A study was carried out to determine how many people in a small town were infected with the hepatitis C virus. An approximation for the number of infected people, , can be found using , where is the number of years after 2006. In which year do we expect there to be no infected people?
The length of a rectangle is 26 cm more than its width. Given that its area is 120 cm2, determine its perimeter.
The length of a rectangle is 15 cm more than its width. Given that its area is 54 cm2, determine its perimeter.
The length of a rectangle is 10 cm more than its width. Given that its area is 24 cm2, determine its perimeter.
Find the solution set of the equation in .
Given that nine times the square of is 25, what are the possible values of ?
Determine the positive number whose square exceeds twice its value by 15.
Find the positive number whose square is equal to two times the number.
The difference between the square of Daniel’s age now and 5 times his age 2 years ago is 160. How old is Daniel now?
At which values of does the graph of cross the -axis?
When twice the square of a number is added to 1, the result is 99. What is the number?
Find two numbers with a sum of 10 and a product of 9.
A study was carried out to investigate the number of people in a town infected by norovirus. The number of people infected, , occurring years after the start of the study, can be found using the equation What was the value of when there were 347 people infected?
The length of a rectangle is 3 cm more than double the width. The area of the rectangle is 27 cm2. Write an equation that can be used to find , the width of the rectangle, in centimeters.