A relation is a function if it passes the vertical line test. That graph in a coordinate plane is just a sin wave that is spread out. If you run a perfectly vertical line through the graph at every place on the graph, the line you draw will only go through the graph at one place every time. That makes it a function. It's not a one-to-one function cuz it fails the horizontal line test, but it is a function!
Answer:
a) C. No, a carton can have a puncture and a smashed corner.
b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.
Step-by-step explanation:
To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.
Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.
The answer is "C. No, a carton can have a puncture and a smashed corner."
We can calculate the probability that the carton has a puncture <em>or </em>has a smashed comer simply by adding the probability of each event:

P(X ∪ Y): probability that a carton has a puncture or a smashed corner.
Answer:
unicorns
Step-by-step explanation:
unicorns are always the answer try that
![g(x) = \sqrt[3]{x+4};\ x \ge -4](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B4%7D%3B%5C%20x%20%5Cge%20-4)
cube root graph translted 4 right and the nrestricted to x∈[-4,inf)
Answer:
Step-by-step explanation:
rewrite as multiplication
look to factor
, difference of 2 squares and perfect square
, finish factoring and simplify
2(x+3)