Aconstruction company has adjoined a 2000 ft^2 rectangular enclosure to its office building. three sides of the enclosure are fenced in. the side of the building adjacent to the enclosure is 200 ft long and a portion of this side is used as the fourth side of the enclosure. let x and y be the dimensions of the enclosure, where x is measured parallel to the building, and let be the length of fencing required for those dimensions. (a) find a formula for in terms of x and y. ,y)= x+2y (b) find a formula that expresses as a function of x alone. )= x+(4000/x) (c) what is the domain of the function in part (b)?

More challenges: 1) factor out the indicated quantity.8mn² + 7mn - m : factor out the quantity -m2) factor the polynomial by grouping.2vw + 7cv + 14cw + 49c²3) factor completely using the difference of squares along with factoring by grouping.25v³ - 25v² - 4v + 44) factor the sum of cubes. 125x³ + 645) q³ + 27r³6) factor completely. use difference of squares.729p^6 - 6^67) solve the equation(7x + 4)(9x - 1) = 08) a. find the values of x for which f (x) = 0b. find f (0)f (x) = x² + 2x - 489) find the x and y-intercepts for the function defined by y = f (x)f (x) = (x + 3)(x + 4)(x - 1)²10) factor the trinomial completely by using any method. remember to look for a common factor first. 3v² - 2v - 16