The discriminant of a quadratic equationis is -6 .what types of solutions does the equation have ?
a.2 irrational solutions
b.1 real solution
c.2 complex conjugate solutions
d.2 rational solutions

C

Step-by-step explanation:

The nature of the solutions are determined by the value of the discriminant.

Given a quadratic equation in standard form ax² + bx + c = 0 : a ≠ 0

Then the discriminant is Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then solutions are real and equal

• If b² - 4ac < 0 then solutions are not real, 2 complex conjugate solutions

Here b² - 4ac = - 6 , hence 2 complex conjugate solutions → C

–0.91

Step-by-step explanation:

The correlation coefficient for this data set will be negative, since the dependent variable decreases as the independent variable increases.

Since the data appears to be fairly linear, the correlation coefficient will be close to 1; this means -0.91 is our best choice.