Use the binomial theorem to find the coefficient of x^ay^b in the expansion of (5x^2 + 2y^3)^6, where a) a = 6, b = 9. b) a = 2, b = 15.c) a = 3, b = 12. d) a = 12, b = 0.e) a = 8, b = 9.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.