Exam Maths Puzzle Algebra

Q. Use the transformation T:(x,y) -> (x + 2,y -1) and
S: (x,y) -> (2x,y).

1. Find T: (-1,4).
2. Find S:(3,5).
3. What is the preimage of (4,-1) under T?
4. Which is an isometry?

A. T
B. S
C. both T and S
D neither T nor S

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Exam Other Question

Q. you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military. If you are drawing from the full deck of 55 cards, what are the following probabilities:

Q1. You draw a card that is not Saddam Hussein

Q2. You draw three cards, which end up being Saddam Hussein and his two sons.

Q3. You draw 14 cards and not one of them is Saddam Hussein.
log7^4x + log7^(x+1) = log7^64