Answer:
Inequality Form:
y<2
Interval Notation:
(−∞,2)
The answer your looking for is: y<2
You can consider the triangle (as on in the picture) and apply to it composition of two transformations:
1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C'';
2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''.
You can see that results are different.
On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.
Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;

Using distributive property on LHS (i.e,
)
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,

Simplify:
x =13
Therefore, the original number x is, 13
Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.
The probability of getting a lemon-lime flavored drink is 4/10 or 40%.
The probability of getting a orange flavored drink is 3/10 or 30%
The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.
If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.
.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.