SOLUTION: Given a = 4, b = -3, and c = 12, which of the following expressions will yield a value that is undefined? a. a + 2 * b – c b. 2 * c / (4 * b + 3 * a)

Algebra ->  Real-numbers -> SOLUTION: Given a = 4, b = -3, and c = 12, which of the following expressions will yield a value that is undefined? a. a + 2 * b – c b. 2 * c / (4 * b + 3 * a)       Log On


   



Question 52773: Given a = 4, b = -3, and c = 12, which of the following expressions will yield a value that is undefined?
a. a + 2 * b – c
b. 2 * c / (4 * b + 3 * a)
c. (3 * a) – (-4 * b) / c
d. 3 * a + 4 * b – c

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
To get an answer that is "undefined", that means there there has to be division by zero somewhere in the equation. by process of elimination, equations (a) and (d) have no division in them, so they can't be an answer to the question. Looking at equation (c), the denominator is 'c', which is 12; so, (c) isn't an answer either. That only leaves (b) for the answer. To verify it, let's look at the denominator in (b), which is 4%2Ab%2B3%2Aa. By substitution using a=4 and b=-3, we get 4%2A%28-3%29%2B3%2A4, which simplifies to -12%2B12 which is 0. Therefore, we just proved that answer (b) is correct.