Exam 12: Quadratic Equations and Functions

Solve. -A picture 13 inches by 23 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the border is 252 square inches?

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. -

Determine the nature of the solutions of the equation. - - 5w + 8 = 0

Determine the nature of the solutions of the equation. --8 - = -7a - 13

Find the x-intercepts. - + 4 = 0

Solve. -A projectile is thrown upward so that its distance, in feet, above the ground after t seconds is h = - + 260t. What is its maximum height?

Without graphing, find the line of symmetry. -f(x) = + 2

Solve. - + x + 4 = 0

Find the x- and y-intercepts. -f(x) = + 5x + 8

Solve. -The length and width of a rectangle have a sum of 90. What dimensions give the maximum area?

Find the x- and y-intercepts. -f(x) = + 16x + 64

Solve by completing the square. - = - 3y + 9

Find the quadratic function that fits the set of data points. -(-3, -4), (-2, -2) (-5, 4)

Solve. -A gardener is fencing off a rectangular area with a fixed perimeter of 56 ft. What is the maximum area?

Write a quadratic equation having the given numbers as solutions. -12i, -12i

Solve. - = -20x - 3

Solve. Provide answers in interval notation. -(x + 4)(x + 1) 0

Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) = bx + c, a > 0; quadratic: f(x) = + bx + c, a < 0; polynomial, not quadratic or linear. - Growth of revenue in Millions Year

Determine the nature of the solutions of the equation. - - 10t + 25 = 0

Solve the problem. Give the answer to the nearest tenth. -The hang-time function V(T) = , relates vertical leap to hang time. A player has a vertical leap of 30 in. What is his hang time?