We want to find one of the roots of a cubic equation given by 1 0 3 x + x − = which is between 0 and 1 by an iterative method. Modify the equation above to 2 1 1 x x + = Start with an appropriate initial value and do the iteration above until it is convergent. For example, 0.8, 1 0.5 1 0.5 , 0 1 2 = + x = x = 0.609, 1 0.8 1 2 2 = + x = 0.728,  1 0.609 1 3 2 = + x = The simplest (minimum) code may look like:

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Use complete sentences to differentiate between a regular tessellation, and a pure tessellation. be sure to include specific types of polygons in your explanation.

X+y ≥20 x≤2y a) (0,22) b) (7,11) c) ( 15,6) d) (10,10) e) (12,5) f) (8,16)