Leo wants to find the x intercepts of the function f(x) = x^2-12x+30 so he decides to set the function equal to zero and solve by completing the square. His first step is shown below. Step 1: x^2 - 12x + ? = -30 + ? Determine if the following statements are true or false. 1. The missing value of step 1 is 36. 2. The lowest point on the graph is located approximately at (6,6). 3. The equation for the axis of symmetry is x=6 4. There is only one root located at x= 6+ the square root of 6. 5. (x-6)^2 is an equivalent form of the equation x^2 - 12x = -30

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution