What causes the need to use imaginary numbers

3x^3y + 12xy - 9x^2y - 36y Rewrite the expression completely factored. Show the steps of your work.

For what values of x will relations S={ (4,1), (3,0), (x, 5) } not be a function? explain your reasoning.

79/10 as a mixed number

The measure of an exterior angle of a triangle equals the sum of the two remote interior angle measures. m∠2 = m∠3 + m∠4?

Marko is buying carpet for his bedroom floor. His room measures 13 feet by 12 feet. How many square feet of carpet will Marko need to cover the floor in his room? 25 square feet 50 square feet 156 square feet 312 square feet

A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement.

Three brothers share 2 sandwiches equally. Hoe much of a sandwich does each brother get?

The mathematics department of a college has 6 male professors, 12 female professors, 10 male teaching assistants, and 9 female teaching assistants.

The base of a triangular prism has an area of 18 square inches. If the height of the prism is 9.5 inches, what is the volume of the prism?

Expressions equivalent to - 3 (m-4mn)