The area of a rectangular rug is represented by the expression 14x^2 + 31x +15. Find the length and width of the rug

Larry bar opened a frame shop and completed these transactions: larry started the shop by investing $41,100 cash and equipment valued at $19,100 in exchange for common stock. purchased $180 of office supplies on credit. paid $2,300 cash for the receptionist's salary. sold a custom frame service and collected $5,600 cash on the sale. completed framing services and billed the client $310. what was the balance of the cash account after these transactions were posted?

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.

Ok a point t on a segment with endpoints d(1, 4) and f(7, 1) partitions the segment in a 2: 1 ratio. find t. you must show all work to receive credit.