Lara is trying to solve a puzzle where she has to figure out two numbers, x and y. five times x is greater than or equal to 3 more than y. also, 1 more than 4 times y is greater than twice x. which graph represents the possible solutions? (5 points) graph the inequalities 5 x + y greater than or equal to 3 and 2 x + 4 y less than 1 graph the inequalities 5 x - y greater than or equal to 3 and 2 x - 4 y less than 1 graph the inequalities x + 5 y greater than or equal to 3 and 4 x + 2 y less than 1 graph the inequalities x - 5 y greater than or equal to 3 and 4 x - 2 y less than 1

The polynomial 10x3 + 35x2 - 4x - 14 is factored by grouping. 10x3 + 35x2 - 4x - 14 5x )-20 what is the common factor that is missing from both sets of parentheses?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.