A rectangular picture has dimensions of 6 inches by 12 inches. This picture is placed in a picture frame with a thick
border. The width of the border around the picture is
inches
PART A (4 PTS)
Write an expression in terms of that represents the
overall width of the picture frame. Write another expression
in terms of that represents the overall height of the
picture frame,
PART B (5 PTS)
write an equation that models the total area, Alz). of the
picture frame picture with border) in the form
A) - Show the work that leads to your
answer
PART C (3 PTS)
What is the total area of the picture frame (including picture
and border) when the border has a width of 3.25 inches?

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

X2 + y 2 = 36 x + y = 6 solve the system of equations.

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.