Multiplying both sides of a rational equation by a variable expression introduces the possibility of extraneous solutions. Therefore, we must check the solutions against the set of restrictions. If a solution is a restriction, then it is not part of the domain and is extraneous.
Answer:
623/2
Step-by-step explanation:
Answer:
100 texts
Step-by-step explanation:
Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.
The total amount charged by Totally will be 30 + 0.2x
The total amount charged by Gnarly will be
40 + 0.1x
Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:
30 + 0.2x = 40 + 0.1x
40 - 30 = 0.2x - 0.1x
0.1x = 10
x = 10/0.1 = 100 texts
Answer:
Side = 
Step-by-step explanation:
Given that,
Area of a square room is 125 square feet
We need to find the length of one side of the room.
The area of a square shaped room is given by :
Where, x is side of the square room
So, the side of the room is .
Answer:
Option b
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function 
x> 0 for all real numbers.
Then the equation:
has two cases
if 
(i)
if 
(ii)
We solve the case (i)
We solve the case (ii)
Then the solution is:
or
