1). if the discriminant of a quadratic equation is 28 describe the roots a. 1 rational root b. 2 rational roots c. 2 irrational roots d. 2 complex roots 2). describe the roots of 5x^2 -2x+1=0 a. 1 rational root b. 2 rational roots c. 2 irrational roots d. 2 complex roots 3. what is the solution set for 3x^2 +9=5-4x? 4. what is the solution set for x^2-6x-5=0

1. Answer :B. 2 rational roots

Discriminant D >0 -----> 2 rational roots

Discriminant D =0 -----> 1 real root

Discriminant D <0 -----> 2 imaginary roots

D = 28 >0 So 2 rational roots

2. Answer : 2 complex roots

5x^2 -2x+1=0

Discriminant D =

D = -16 <0 so 2 complex roots

3. 3x^2 +9=5-4x

Now solve for x, use quadratic formula

x =

The roots are complex

Solution set is

4. x^2-6x-5=0

Solution set

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560