A cement pathway of uniform width is to be poured around a rectangular swimming pool measuring 16 feet wide by 28 feet long. Given that (16+2x) is an expression for
the width of the outer edge of the path and (28+2x) is an expression for the length of
the outer edge of the path, what would a quadratic in standard form for the area of
the path (remember to take the area of the pool away from the area of the whole
outer edge.
O A (20) = 4x2 +88x + 448
O A (2) = 4x2 +882
O A (2) = 2x2 + 440 + 448
O A (x) = 2.2 + 442

The function models the number of accidents

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.