You have 2 equations that are both equal to y. If they are both equal to y, then by the transitive property of equality, they are equal to each other (if a = b, and b = c, then a = c).
5x - 17 = x + 3 and
4x = 20 and x = 5. Now sub in that x value of 5 to solve for y:
y = 5 + 3 and y = 8. So the ordered pair is (5, 8)
Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.
C 100 ft2 need more characters sorry ashdashdasisncsijdhcfniuslfnxcm
9514 1404 393
Answer:
3(4/3)^2543
Step-by-step explanation:
Using logarithms base 2, we have ...

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

and the 2544th term is ...

Answer:
Step-by-step explanation:
(-4, -1) is what you asked to be plotted.
The first number is what number you go to on the x axis (horizontal).
The second number is what number you go to on the y axis (vertical).
I've attached a picture to help demonstrate. :)
The way I remember which comes first is to keep it alphabetical. X comes first, so go on the x axis first, then y