Which of the following statements are true about the given rational equation? 4/x+6 +1/x²=x+10/x³+6x² check all of the boxes that apply. a. x = 1 is a solution. b. x = 0 is an extraneous solution.= c. x = –1 is a solution. d. x = –6 is an extraneous solution.

Correct choices are A and C

Step-by-step explanation:

Consider the equation

Note that

The left side of this equation is equal to

Since the left and the right sides of this equation have the same denominators, their numerators are equal

Then

Both these numbers are the solutions of the given equation.

A and C is correct.

Step-by-step explanation:

First we simplify this equation (-1 + x^2)/(x (6 + x))

Solution set: x=1,-1

We have to check all option which is solution of above equation.

A)  x=1, we will put x=1 into equation both sides.

Thus, x=1 is a solution.

C)  x=-1, we will put x=-1 into equation both sides.

Thus, x=-1 is a solution.

Thus, A and C is correct.

show us the graphs dude

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