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 = y.

Which product should Tomas choose?

A. (2x + y)(2x2 + 2xy – y2)
B. (2x + y)(4x2 + 2xy – y2)
C. (2x + y)(4x2 – 2xy + y2)
D. (2x + y)(2x2 – 2xy + y2)

What number line represents the solution set for the inequality -1/2 greater than or equal to 4

Identify this conic section. x2 - y2 = 16 o line circle ellipse parabola hyperbola

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain