The area (A) under a curve is equal to the sum of the areas of n rectangles, taking the limit as n approaches infinity. Which is the correct mathematical representation of the area?

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b. you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c. you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d. you spend $5 plus $10 per week until you have less than $45.

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x+1|+1? shift 1 unit left and 1 unit down shift 1 unit left and 1 unit up shift 1 unit night and 1 unit down shift 1 unit nght and 1 unit up

Given the expression (7 ? 4i) ? (2 + 6i), perform the indicated operation and write the answer in the form a + bi.