Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.

which product should tomas choose?

a) (2x + 1)(2x2 + 2x – 1)
b) (2x + 1)(4x3 + 2x – 1)
c) (2x + 1)(4x2 – 2x + 1)
d) (2x + 1)(2x2 – 2x + 1)

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

The graph shows the distance kerri drives on a trip. what is kerri's speed?

Anew test for ra is being developed. the test is administered to 750 patients with ra and 750 without ra. for the sake of the question, assume the prevalence of ra in this population is 50%. of the 750 patients with ra, 575 have a positive result. of the 750 patients without ra, 150 have a positive result. what is the positive predictive value of the new test? a575/(575+150) b. 600/(600+ 150) c. 575/(575+125) d. 600/(600+ 125)