Determine the discriminant. Then use it to determine the number of x-intercepts that the function has.m(x) = -3×2 + 8x – 9

Graph the solution set of the compound inequality.3x – y ≤ -33x + 4y ≥ -18

The annual rate of return on an initial investment of P dollars is given by r = 1/t – 1where A is the current value and t is the number of years since the money was invested. Find the annual rate of return on a $22,000 investment that grew to $32,000 after 10 years. Round to the nearest hundredth of a percent.

The amount of time it takes an object dropped from an initial height of h0 feet to reach a height of h feet is given by the formula t = An object dropped from the top of the Sears Tower in Chicago takes 9.5 seconds to reach the ground. Use the above equation to approximate the height of the Sears Tower.

Graph the region.x + y ≥ 3 andx ≥ 1, y ≥ 0

A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 30 miles per hour. Find the speed of the plane in still air.

If m(x) = x3 and n(x) = find the function value, if possible.(m – n)(-5)

The stopping distance of a car varies directly as the square of the speed of the car. If a car traveling 40 mph has a stopping distance of 109 ft, find the stopping distance of a car that travels 25 mph. (Round the answer to one decimal place.)

Find the and of the function.f (x) = 6×2 – 60

Find the resulting interval. (-∞, 5] ∩ ∩ [-1, 12)”…