without actually subtracting, how can you tell whether the result of subtracting two numbers will be negative?

if a<b

Step-by-step explanation:

a-b<0 if a<b

if we subtract two negative numbers the result is negative .

for instance,   -3-4 = -7

and  if we subtract a positive number from a negative number the answer is positive and vice versa the answer will be negative if the negative number is greater than the positive number.

for instance,   -6 + 2 = -4

but if the negative number is greater than,   +6 - 2 = 4

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.