Transform each of the following equations to determine whether each has one solution, infinitely many solutions or no solution. use the result of your transformation to state the number of solutions.

1. 2x + 4 = 3(x – 2) + 1

2. 4(x + 3) = 3x + 17

3. 3x + 4 + 2x = 5(x – 2) + 7

4. 2(1 + 5x) = 5(2x – 1)

5. –18 + 15x = 3(4x – 6) + 3x

A20? -foot ladder is placed against a vertical wall of a? building, with the bottom of the ladder standing on level ground 19 feet from the base of the building. how high up the wall does the ladder? reach?

What is the difference between regular convex and concave polygons

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297