The daily profit in dollars of a specialty cake shop is described by the function p(x)=-3x^2+168x-1920. where x is the number of cakes prepared in one day. the maximum profit for the company occurs at the vertex of the parabola. how many cakes should be prepared per day in order to maximize profit?

Awall map has a scale of 128 miles = 6 inches. the distance between springfield and lakeview is 2 feet on the map. what is the actual distance between springfield and lakeview? 384 miles 512 miles 1.13 miles 42.7 miles

The image of abc is a'b'c. what transformations would result in this image? abc is reflected over the line x = 1, then is rotated -90° around the origin. abc is reflected over the line y = x - 1, then t: (x, y) → (x - 1, y - 1). abc is rotated 90° around the origin, then is reflected over the y-axis. abc is rotated -90° around the origin, then is reflected over the line y = -1.

Its due 1. what is the product of 1/2-1/4? write your answer in standard form. a) show your work. b) is the product of 1/2x-1/4 and 5x^2-2x+6 equal to product of 1/4x-1/2 and 5x^2-2x+6? explain your answer.