Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? a. three real roots, each with a different value b. one real root and to complex roots c. three real roots, two of which are equal in value d. 2 real roots and one complex root?

C) Three real roots, two of which are equal in value is the right answer I believe.

Step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves