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find the value of the discriminant. then describe the number and type of roots for the equation.
x^2 + x + 7 = 0

a. the discriminant is –29.
because the discriminant is less than 0, the two roots are complex.

b. the discriminant is 1.
because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.

c. the discriminant is –27.
because the discriminant is less than 0, the two roots are complex.

d. the discriminant is 27.
because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.

answer:

c. the discriminant is –27.

because the discriminant is less than 0, the two roots are complex.

step-by-step explanation:

since this expression is unfactorable with rational numbers, apply the quadratic formula:

however, the discriminant is only what is evaluated under the radical, so you would do this:

so the discriminant is −27.

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66answer:

step-by-step explanation:

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0