Find the x-intercept(s) if they exist.
-
A) 0
B) 0, 7
C) 7
D) 21

Question

Find the x-intercept(s) if they exist.
-
A) 0 
B) 0, 7 
C) 7 
D) 21

Quizplus · Accepted Answer

To find the x-intercept(s), we need to set y=0 and solve for x.

- 12x + 21 = 0
- 12x = -21
- x = -21/12 = -7/4

So the graph intersects the x-axis at x = -7/4, which is not one of the answer choices.

However, we can simplify the equation by factoring out a 3:

- 12x + 21 = 3(4x + 7)

Now we can see that the x-intercept(s) occur when 4x + 7 = 0:

- 4x + 7 = 0
- 4x = -7
- x = -7/4

Therefore, the only x-intercept is at x = -7/4, which corresponds to choice B. The equation of the graph is not given, so we cannot solve for the x-intercept(s) algebraically. However, we can determine from the answer choices that there is at least one x-intercept, and it may be at x=0, x=7, or x=21. Therefore, the best choice is B as it covers all possible x-intercepts.

Find the X-Intercept(s) If They Exist