Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points) The x-intercept is (3, 0); the y-intercept is (0, –2).
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (0, 6); the y-intercept is (–9, 0).
The x-intercept is (0, 3); the y-intercept is (–2, 0).

The correct answer is (second option):

The x-intercept is (6, 0); the y-intercept is (0, –9).

Step-by-step explanation:

Intercepts of a real function

Given a function y=f(x), the x-intercepts of f are those values of x that make y=0. The y-intercepts are those values of y that make x=0.

Our function is:

3x - 2y = 18

To find the x-intercept(s), we set y=0:

3x - 2(0) = 18

3x = 18

Solving:

x = 18 / 3 =6

The x-intercept is the point (6,0)

Now for the y-intercept(s), we set x=0:

3(0) - 2y = 18

-2y = 18

Solving:

y = 18 / (-2) = -9

The y-intercept is the point (0,-9)

The correct answer is (second option):

The x-intercept is (6, 0); the y-intercept is (0, –9).

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

0.85% : )

step-by-step explanation: