(c) There is a square tile pattern of n by n tiles and a row of n tiles. All the tiles are of the same size. If the row of n tiles is joined to the square pattern to form a rectangular pattern, what are the dimensions of the rectangle? (d) If there are 2,256 pieces of tiles in the rectangular pattern in (c), find the value of n.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Which expression gives the exact value of x?