91Ó°ÊÓ

Which of the following equations are quadratic equations? Answer "yes" or "no" to each equation. $$ 6 x^{2}-4 x+9=0 $$

The product of two consecutive integers is 210 . Find them.

A contractor is to pour a concrete walkway around a swimming pooi that is 15 feet wide and 25 feet long. The area of the walkway is to be 276 square feet. If the walkway is to be of uniform width, how wide should the contractor make it?

The product of two consecutive negative integers is \(42 .\) Find them.

The product of two consecutive odd integers is \(143 .\) Find them. (Hint: The quadratic equation is factorable, but the quadratic formula may be quicker.)

The product of two consecutive even integers is 168 . Find them.

A box with no top and a square base is to made by cutting out 8 -inch squares from each corner and folding up the sides of a piece of cardboard. The volume of the box is to be 124 cubic inches. What size should the piece of cardboard be?

For the following problems, solve the equations, if possible. $$ y(y+9)^{2}=0 $$

For the following problems, find the solution. A ball thrown vertically into the air has the equation of motion \(h=144+48 t-16 t^{2}\) (a) How high is the ball at \(t=0 ?\) (b) How high is the ball at \(t=1 ?\) (c) When does the ball hit the ground?

For the following problems, find the solution. The product of two consecutive negative integers is \(272 .\) Find them.