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0. How many handshakes are performed if all 100 senators shake each of the other senator's hand? Is there a formula to calculate the number of handshakes if there are x people in a room? Explore: Begin by looking at smaller values and seeking a pattern. The table is started for you. If there is only one person in the room, there are no handshakes. If there are two people, there is one handshake. If there are 4 people in a room, there are six handshakes.

0. How many handshakes are performed if all 100 senators shake each of the other senator's hand? Is there a formula to calculate the number of handshakes if there are x people in a room? Explore: Begin by looking at smaller values and seeking a pattern. The table is started for you. If there is only one person in the room, there are no handshakes. If there are two people, there is one handshake. If there are 4 people in a room, there are six handshakes.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4- 6 V. option command 0. THOW many handshakes are performed if all 100 senators shake each of the other senator s hand? Is there a formula to calculate the number of handshakes if there are x people ma room? Explore: Begin by looking at smaller values and seeking a pattern. The table is started for you. If there is only one person in the room, there are no handshakes. If there are two people, there is one handshake. If there are 4 people in a room, there are six handshakes. # people # handshakes 2. 1. 3. 9. a. Check for a constant second difference. What do you find? b. This problem can be modeled by the quadratic function below. Use the function to predict how handshakes there will be between 100 senators. many y%3D0.5x²-0.5x
Transcribed Image Text:4- 6 V. option command 0. THOW many handshakes are performed if all 100 senators shake each of the other senator s hand? Is there a formula to calculate the number of handshakes if there are x people ma room? Explore: Begin by looking at smaller values and seeking a pattern. The table is started for you. If there is only one person in the room, there are no handshakes. If there are two people, there is one handshake. If there are 4 people in a room, there are six handshakes. # people # handshakes 2. 1. 3. 9. a. Check for a constant second difference. What do you find? b. This problem can be modeled by the quadratic function below. Use the function to predict how handshakes there will be between 100 senators. many y%3D0.5x²-0.5x
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