Complete the work shown to answer the question. p2 – 14p – 72 = 0

p2 – 14p = 72

p2 – 14p + 49 = 72 + 49

Which describes the solutions of the equation?

Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

If a + b = 4, what is the value of |4 – a| + |4 – b|?

To prove a polygon is a rectangle, which of the properties listed must be included in the proof?

Amodified roulette wheel has 36 slots. one slot is 0, another is 00, and the others are numbered 1 through 34, respectively. you are placing a bet that the outcome is an odd number. (in roulette, 0 and 00 are neither odd nor even.) a. what is your probability of winning? the probability of winning is startfraction 17 over 36 endfraction . (type an integer or a simplified fraction.) b. what are the actual odds against winning? the actual odds against winning are nothing: nothing. c. when you bet that the outcome is an odd number, the payoff odds are 1: 1. how much profit do you make if you bet $10 and win? if you win, the payoff is $ nothing. d. how much profit should you make on the $10 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning? $ nothing (round to the nearest cent as needed.)