Use the Discriminant to describe the roots of each equation. Then select the best description.

x^2-5x+7=0

A.) Double Root

B.) Real and Rational Roots

C.) Real and Irrational Roots

D.) Non-real Roots

If a city is divided into 500 neighborhoods, each of which is home to approximatley 200 household, and a researcher randomly selects two households from each of the 500 neighborhoods what type of sampling is this?

Solve the following quadratic equation x+12x+36 - 16

Consider sets R, S, and T, defined as follows: R = x ϵ Z S = y ϵ Z T = z ϵ Z a) Is R ⊆ T? Explain. b) Is T ⊆ R? Explain. c) Is T ⊆ S? Explain.

Determine the set of values of k for which the equation (3-2k) x² + (2k-3) x+1=0 has no real roots.

A total of 243 adults and children are at a movie theater. There are 109 more adults than children in the theater.

On Saturday afternoon, 41 out of 50 telephone calls taken at the overlook restaurant were for dinner reservations. what percent of the telephone calls were for dinner reservations.

2x - y = 2 2x + 3y = 22

P (9, 4) = 3024 126 15,120 362,880

You have 104 apples. There are 8 bags full of the same amount of apples. How many apples are in each bag?

Which percent is equivalent to 1/20