For
to be continuous at
, we need to have
Note that
means that
, but that
is *approaching* 5. We're told that for
, we have
We can write
and the limit would be
and so
is discontinuous.
ANSWER
The correct answer is C
EXPLANATION
We want to find the quotient:
We multiply by the reciprocal of the second fraction:
We cancel out the common factors to obtain:
We multiply to get
This simplifies to :
The correct answer is C
The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
- A. 6x – 30 = 54
- B. 6x = 84
- D. x = 14
Given the expression 6(x-5) = 54
Expand the expression in parenthesis using the distributive law;
6x - 6(5) = 54
6x - 30 = 54
Add 30 to both sides
6x - 30 + 30 = 54 + 30
6x = 84
Divide both sides by 6
6x/6 = 84/6
x = 14
Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
- A. 6x – 30 = 54
- B. 6x = 84
- D. x = 14
Learn more on equations here; brainly.com/question/2972832
