Answer:
Step-by-step explanation:
We can rewrite the equation as
Notice that we have 
in both the numerator and the denominator, so it looks like we can divide it out. However, what if is 
? Then we would have 
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for 
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at . In the simplified version of the function, if we plug in , we get
So the point is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at 
(since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of 
True , is the answer ! :)
Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation:
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
Given:
2x + 6y = 12
where
x = number of pounds of granola y = number of pounds of walnuts
The correct solution to the problem
x = 3 pounds
2x + 6y = 12
2(3) + 6y = 12
6 + 6y = 12
Subtract 6 from both sides
6 + 6y - 6 = 12 - 6
6y = 6
Divide both sides by 6
y = 6/6
= 1
y = 1 pound
Tomas added 6 to both sides of the equation instead of subtracting 6.
Answer:
1/16
Step-by-step explanation:
This means 1/2x2x2x2 = 1/16
