Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Question
Chapter 2, Problem 14STP
a)
To determine
To write: The numbers of given table in integer form by associating a + or − sign before it, and then arranging all these integers in ascending order and lastly to decide the largest integer, out of these four, that represents player at second position.
a)
Expert Solution
Answer to Problem 14STP
Each player`s standing in integer form is: Reggle0 , Benjamin
Explanation of Solution
Given information:
A table that shows the position of different player’s from their leader Reggie in whole number form with the fact that after 3 rounds of a 4 round tournament, Reggie is the leader.
Explanation:
A whole number when represented by + or − sign is called an integer. +sign represents ascending value and − sign represents descending value from a middle value 0.
Now as Reggie is the leader of all given players that mean there will be a − sign before the standing values of them.
Further, if a whole number is greater than another whole number, this number will be smaller from second whole number, if a − sign is placed before it. For example, if 7 is greater than 4, then
Thus, all the given negative integers from least to greatest will be written as:
Conclusion:
Thus, standing position of given players in respect to their leader Reggie just after Reggie will beReggle, Benjamin, Cristofer, Thomas, Alejandro
b)
To determine
To write: The numbers of given table in integer form and then arrange all these integers in ascending order.
b)
Expert Solution
Answer to Problem 14STP
Above integers in ascending order are written as:
Explanation of Solution
Given information:
A table that shows the position of different players position from their leader Reggie in whole number form with the fact that after 3 rounds of a 4 round tournament, Reggie is the leader.
Explanation:
A whole number when represented by + or − sign is called an integer. + sign represents ascending value and − sign represents descending value from a middle value 0.
Now as Reggie is the leader of all given players that means there will be − sign before the standing values of them.
Further, if a whole number is greater than another whole number, this number will be smaller from second whole number, if a − sign is placed before it. For example, if 7 is greater than 4, then
Thus,all the given negative integers from least to greatest will be written as:
Conclusion: Thus,number of strokes behind the leader, in integer form from least to greatest can be arranged as:
c)
To determine
To name: The player that is currently at second position.
c)
Expert Solution
Answer to Problem 14STP
Benjamin is currently at second position.
Explanation of Solution
Given information: A table that shows the position of different players position from their leader Reggie in whole number form with the fact that after 3 rounds of a 4 round tournament, Reggie is the leader.
Formula/concept used: A whole number when represented by + or − sign is called an integer. + sign represents ascending value and − sign represents descending value from a middle value 0. Now as Reggie is the leader of all given players that means there will be a − sign before the standing values of them.
Further, if a whole number is greater than another whole number, this number will be smaller from second whole number, if a − sign is placed before it. For example, if 7 is greater than 4, then
Conclusion: Thus, as Reggle is the leader that is represented by integer 0, its second position in the order is represented by
Chapter 2 Solutions
Pre-Algebra Student Edition
Ch. 2.1 - Prob. 1AGPCh. 2.1 - Prob. 1BGPCh. 2.1 - Prob. 2AGPCh. 2.1 - Prob. 2BGPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4AGPCh. 2.1 - Prob. 4BGPCh. 2.1 - Prob. 5GPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYU
Ch. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11CYUCh. 2.1 - Prob. 12CYUCh. 2.1 - Prob. 13CYUCh. 2.1 - Prob. 14CYUCh. 2.1 - Prob. 15CYUCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35PPSCh. 2.1 - Prob. 36PPSCh. 2.1 - Prob. 37PPSCh. 2.1 - Prob. 38PPSCh. 2.1 - Prob. 39PPSCh. 2.1 - Prob. 40PPSCh. 2.1 - Prob. 41PPSCh. 2.1 - Prob. 42PPSCh. 2.1 - Prob. 43PPSCh. 2.1 - Prob. 44PPSCh. 2.1 - Prob. 45PPSCh. 2.1 - Prob. 46PPSCh. 2.1 - Prob. 47PPSCh. 2.1 - Prob. 48PPSCh. 2.1 - Prob. 49PPSCh. 2.1 - Prob. 50PPSCh. 2.1 - Prob. 51PPSCh. 2.1 - Prob. 52PPSCh. 2.1 - Prob. 53PPSCh. 2.1 - Prob. 54PPSCh. 2.1 - Prob. 55PPSCh. 2.1 - Prob. 56PPSCh. 2.1 - Prob. 57PPSCh. 2.1 - Prob. 58PPSCh. 2.1 - Prob. 59PPSCh. 2.1 - Prob. 60PPSCh. 2.1 - Prob. 61PPSCh. 2.1 - Prob. 62PPSCh. 2.1 - Prob. 63PPSCh. 2.1 - Prob. 64HPCh. 2.1 - Prob. 65HPCh. 2.1 - Prob. 66HPCh. 2.1 - Prob. 67HPCh. 2.1 - Prob. 68HPCh. 2.1 - Prob. 69HPCh. 2.1 - Prob. 70HPCh. 2.1 - Prob. 71STPCh. 2.1 - Prob. 72STPCh. 2.1 - Prob. 73STPCh. 2.1 - Prob. 74STPCh. 2.1 - Prob. 75SRCh. 2.1 - Prob. 76SRCh. 2.1 - Prob. 77SRCh. 2.1 - Prob. 78SCh. 2.1 - Prob. 79SCh. 2.1 - Prob. 80SCh. 2.1 - Prob. 81SCh. 2.1 - Prob. 82SCh. 2.1 - Prob. 83SCh. 2.2 - Prob. 1AGPCh. 2.2 - Prob. 1BGPCh. 2.2 - Prob. 1CGPCh. 2.2 - Prob. 2AGPCh. 2.2 - Prob. 2BGPCh. 2.2 - Prob. 3AGPCh. 2.2 - Prob. 3BGPCh. 2.2 - Prob. 4AGPCh. 2.2 - Prob. 4BGPCh. 2.2 - Prob. 5GPCh. 2.2 - Prob. 6AGPCh. 2.2 - Prob. 6BGPCh. 2.2 - Prob. 1CYUCh. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5CYUCh. 2.2 - Prob. 6CYUCh. 2.2 - Prob. 7CYUCh. 2.2 - Prob. 8CYUCh. 2.2 - Prob. 9PPSCh. 2.2 - Prob. 10PPSCh. 2.2 - Prob. 11PPSCh. 2.2 - Prob. 12PPSCh. 2.2 - Prob. 13PPSCh. 2.2 - Prob. 14PPSCh. 2.2 - Prob. 15PPSCh. 2.2 - Prob. 16PPSCh. 2.2 - Prob. 17PPSCh. 2.2 - Prob. 18PPSCh. 2.2 - Prob. 19PPSCh. 2.2 - Prob. 20PPSCh. 2.2 - Prob. 21PPSCh. 2.2 - Prob. 22PPSCh. 2.2 - Prob. 23PPSCh. 2.2 - Prob. 24PPSCh. 2.2 - Prob. 25PPSCh. 2.2 - Prob. 26PPSCh. 2.2 - Prob. 27PPSCh. 2.2 - Prob. 28PPSCh. 2.2 - Prob. 29PPSCh. 2.2 - Prob. 30PPSCh. 2.2 - Prob. 31PPSCh. 2.2 - Prob. 32PPSCh. 2.2 - Prob. 33PPSCh. 2.2 - Prob. 34PPSCh. 2.2 - Prob. 35PPSCh. 2.2 - Prob. 36HPCh. 2.2 - Prob. 37HPCh. 2.2 - Prob. 38HPCh. 2.2 - Prob. 39HPCh. 2.2 - Prob. 40HPCh. 2.2 - Prob. 41HPCh. 2.2 - Prob. 42HPCh. 2.2 - Prob. 43HPCh. 2.2 - Prob. 44HPCh. 2.2 - Prob. 45STPCh. 2.2 - Prob. 46STPCh. 2.2 - Prob. 47STPCh. 2.2 - Prob. 48STPCh. 2.2 - Prob. 49SRCh. 2.2 - Prob. 50SRCh. 2.2 - Prob. 51SRCh. 2.2 - Prob. 52SRCh. 2.2 - Prob. 53SRCh. 2.2 - Prob. 54SRCh. 2.2 - Prob. 55SRCh. 2.2 - Prob. 56SRCh. 2.2 - Prob. 57SRCh. 2.2 - Prob. 58SRCh. 2.2 - Prob. 59SRCh. 2.2 - Prob. 60SRCh. 2.2 - Prob. 61SCh. 2.2 - Prob. 62SCh. 2.2 - Prob. 63SCh. 2.2 - Prob. 64SCh. 2.3 - Prob. 1AGPCh. 2.3 - Prob. 1BGPCh. 2.3 - Prob. 2AGPCh. 2.3 - Prob. 2BGPCh. 2.3 - Prob. 3GPCh. 2.3 - Prob. 4AGPCh. 2.3 - Prob. 4BGPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9CYUCh. 2.3 - Prob. 10CYUCh. 2.3 - Prob. 11CYUCh. 2.3 - Prob. 12CYUCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36PPSCh. 2.3 - Prob. 37PPSCh. 2.3 - Prob. 38PPSCh. 2.3 - Prob. 39PPSCh. 2.3 - Prob. 40PPSCh. 2.3 - Prob. 41HPCh. 2.3 - Prob. 42HPCh. 2.3 - Prob. 43HPCh. 2.3 - Prob. 44HPCh. 2.3 - Prob. 45STPCh. 2.3 - Prob. 46STPCh. 2.3 - Prob. 47STPCh. 2.3 - Prob. 48STPCh. 2.3 - Prob. 49SRCh. 2.3 - Prob. 50SRCh. 2.3 - Prob. 51SRCh. 2.3 - Prob. 52SRCh. 2.3 - Prob. 53SRCh. 2.3 - Prob. 54SRCh. 2.3 - Prob. 55SRCh. 2.3 - Prob. 56SRCh. 2.3 - Prob. 57SRCh. 2.3 - Prob. 58SCh. 2.3 - Prob. 59SCh. 2.3 - Prob. 60SCh. 2.3 - Prob. 61SCh. 2.4 - Prob. 1AGPCh. 2.4 - Prob. 1BGPCh. 2.4 - Prob. 2AGPCh. 2.4 - Prob. 2BGPCh. 2.4 - Prob. 3GPCh. 2.4 - Prob. A4GPCh. 2.4 - Prob. 4BGPCh. 2.4 - Prob. 5AGPCh. 2.4 - Prob. 5BGPCh. 2.4 - Prob. 6AGPCh. 2.4 - Prob. 6BGPCh. 2.4 - Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8CYUCh. 2.4 - Prob. 9CYUCh. 2.4 - Prob. 10CYUCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37PPSCh. 2.4 - Prob. 38PPSCh. 2.4 - Prob. 39PPSCh. 2.4 - Prob. 40PPSCh. 2.4 - Prob. 41PPSCh. 2.4 - Prob. 42PPSCh. 2.4 - Prob. 43HPCh. 2.4 - Prob. 44HPCh. 2.4 - Prob. 45HPCh. 2.4 - Prob. 46HPCh. 2.4 - Prob. 47HPCh. 2.4 - Prob. 48HPCh. 2.4 - Prob. 49HPCh. 2.4 - Prob. 50STPCh. 2.4 - Prob. 51STPCh. 2.4 - Prob. 52STPCh. 2.4 - Prob. 53STPCh. 2.4 - Prob. 54SRCh. 2.4 - Prob. 55SRCh. 2.4 - Prob. 56SRCh. 2.4 - Prob. 57SRCh. 2.4 - Prob. 58SRCh. 2.4 - Prob. 59SRCh. 2.4 - Prob. 60SCh. 2.4 - Prob. 61SCh. 2.4 - Prob. 62SCh. 2.4 - Prob. 63SCh. 2.5 - Prob. 1AGPCh. 2.5 - Prob. 1BGPCh. 2.5 - Prob. 2AGPCh. 2.5 - Prob. 2BGPCh. 2.5 - Prob. 3AGPCh. 2.5 - Prob. 3BGPCh. 2.5 - Prob. 4GPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3CYUCh. 2.5 - Prob. 4CYUCh. 2.5 - Prob. 5CYUCh. 2.5 - Prob. 6CYUCh. 2.5 - Prob. 7CYUCh. 2.5 - Prob. 8CYUCh. 2.5 - Prob. 9CYUCh. 2.5 - Prob. 10CYUCh. 2.5 - Prob. 11CYUCh. 2.5 - Prob. 12CYUCh. 2.5 - Prob. 13PPSCh. 2.5 - Prob. 14PPSCh. 2.5 - Prob. 15PPSCh. 2.5 - Prob. 16PPSCh. 2.5 - Prob. 17PPSCh. 2.5 - Prob. 18PPSCh. 2.5 - Prob. 19PPSCh. 2.5 - Prob. 20PPSCh. 2.5 - Prob. 21PPSCh. 2.5 - Prob. 22PPSCh. 2.5 - Prob. 23PPSCh. 2.5 - Prob. 24PPSCh. 2.5 - Prob. 25PPSCh. 2.5 - Prob. 26PPSCh. 2.5 - Prob. 27PPSCh. 2.5 - Prob. 28PPSCh. 2.5 - Prob. 29PPSCh. 2.5 - Prob. 30PPSCh. 2.5 - Prob. 31PPSCh. 2.5 - Prob. 32PPSCh. 2.5 - Prob. 33PPSCh. 2.5 - Prob. 34PPSCh. 2.5 - Prob. 35PPSCh. 2.5 - Prob. 36PPSCh. 2.5 - Prob. 37PPSCh. 2.5 - Prob. 38PPSCh. 2.5 - Prob. 39PPSCh. 2.5 - Prob. 40PPSCh. 2.5 - Prob. 41PPSCh. 2.5 - Prob. 42PPSCh. 2.5 - Prob. 43PPSCh. 2.5 - Prob. 44PPSCh. 2.5 - Prob. 45PPSCh. 2.5 - Prob. 46PPSCh. 2.5 - Prob. 47PPSCh. 2.5 - Prob. 48PPSCh. 2.5 - Prob. 49HPCh. 2.5 - Prob. 50HPCh. 2.5 - Prob. 51HPCh. 2.5 - Prob. 52HPCh. 2.5 - Prob. 53HPCh. 2.5 - Prob. 54STPCh. 2.5 - Prob. 55STPCh. 2.5 - Prob. 56STPCh. 2.5 - Prob. 57STPCh. 2.5 - Prob. 58SRCh. 2.5 - Prob. 59SRCh. 2.5 - Prob. 60SRCh. 2.5 - Prob. 61SRCh. 2.5 - Prob. 62SRCh. 2.5 - Prob. 63SRCh. 2.5 - Prob. 64SRCh. 2.5 - Prob. 65SRCh. 2.5 - Prob. 66SCh. 2.5 - Prob. 67SCh. 2.5 - Prob. 68SCh. 2.5 - Prob. 69SCh. 2.6 - Prob. 1AGPCh. 2.6 - Prob. 1BGPCh. 2.6 - Prob. 2AGPCh. 2.6 - Prob. 2BGPCh. 2.6 - Prob. 2CGPCh. 2.6 - Prob. 3GPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9CYUCh. 2.6 - Prob. 10PPSCh. 2.6 - Prob. 11PPSCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40PPSCh. 2.6 - Prob. 41PPSCh. 2.6 - Prob. 42PPSCh. 2.6 - Prob. 43PPSCh. 2.6 - Prob. 44PPSCh. 2.6 - Prob. 45PPSCh. 2.6 - Prob. 46PPSCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49HPCh. 2.6 - Prob. 50HPCh. 2.6 - Prob. 51STPCh. 2.6 - Prob. 52STPCh. 2.6 - Prob. 53STPCh. 2.6 - Prob. 54STPCh. 2.6 - Prob. 55SRCh. 2.6 - Prob. 56SRCh. 2.6 - Prob. 57SRCh. 2.6 - Prob. 58SRCh. 2.6 - Prob. 59SRCh. 2.6 - Prob. 60SRCh. 2.6 - Prob. 61SRCh. 2.6 - Prob. 62SRCh. 2.6 - Prob. 63SCh. 2.6 - Prob. 64SCh. 2.6 - Prob. 65SCh. 2.6 - Prob. 66SCh. 2.6 - Prob. 67SCh. 2.6 - Prob. 68SCh. 2.7 - Prob. 1GPCh. 2.7 - Prob. 2AGPCh. 2.7 - Prob. 2BGPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3PPSCh. 2.7 - Prob. 4PPSCh. 2.7 - Prob. 5PPSCh. 2.7 - Prob. 6PPSCh. 2.7 - Prob. 7PPSCh. 2.7 - Prob. 8PPSCh. 2.7 - Prob. 9PPSCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18HPCh. 2.7 - Prob. 19HPCh. 2.7 - Prob. 20HPCh. 2.7 - Prob. 21HPCh. 2.7 - Prob. 22HPCh. 2.7 - Prob. 23STPCh. 2.7 - Prob. 24STPCh. 2.7 - Prob. 25STPCh. 2.7 - Prob. 26STPCh. 2.7 - Prob. 27SRCh. 2.7 - Prob. 28SRCh. 2.7 - Prob. 29SRCh. 2.7 - Prob. 30SRCh. 2.7 - Prob. 31SRCh. 2.7 - Prob. 32SRCh. 2.7 - Prob. 33SRCh. 2.7 - Prob. 34SCh. 2.7 - Prob. 35SCh. 2.7 - Prob. 36SCh. 2.7 - Prob. 37SCh. 2 - Prob. 1QCCh. 2 - Prob. 2QCCh. 2 - Prob. 3QCCh. 2 - Prob. 4QCCh. 2 - Prob. 5QCCh. 2 - Prob. 6QCCh. 2 - Prob. 7QCCh. 2 - Prob. 8QCCh. 2 - Prob. 9QCCh. 2 - Prob. 10QCCh. 2 - Prob. 11QCCh. 2 - Prob. 12QCCh. 2 - Prob. 13QCCh. 2 - Prob. 14QCCh. 2 - Prob. 15QCCh. 2 - Prob. 16QCCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 10MCQCh. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - Prob. 20MCQCh. 2 - Prob. 21MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 25MCQCh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 25PTCh. 2 - Prob. 26PTCh. 2 - Prob. 27PTCh. 2 - Prob. 28PTCh. 2 - Prob. 29PTCh. 2 - Prob. 30PTCh. 2 - Prob. 31PTCh. 2 - Prob. 32PTCh. 2 - Prob. 33PTCh. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 3ECh. 2 - Prob. 4ECh. 2 - Prob. 5ECh. 2 - Prob. 1STPCh. 2 - Prob. 2STPCh. 2 - Prob. 3STPCh. 2 - Prob. 4STPCh. 2 - Prob. 5STPCh. 2 - Prob. 6STPCh. 2 - Prob. 7STPCh. 2 - Prob. 8STPCh. 2 - Prob. 9STPCh. 2 - Prob. 10STPCh. 2 - Prob. 11STPCh. 2 - Prob. 12STPCh. 2 - Prob. 13STPCh. 2 - Prob. 14STP
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- (1) Let F be a field, show that the vector space F,NEZ* be a finite dimension. (2) Let P2(x) be the vector space of polynomial of degree equal or less than two and M={a+bx+cx²/a,b,cЄ R,a+b=c),show that whether Mis hyperspace or not. (3) Let A and B be a subset of a vector space such that ACB, show that whether: (a) if A is convex then B is convex or not. (b) if B is convex then A is convex or not. (4) Let R be a field of real numbers and X=R, X is a vector space over R show that by definition the norms/II.II, and II.112 on X are equivalent where Ilxll₁ = max(lx,l, i=1,2,...,n) and llxll₂=(x²). oper (5) Let Ⓡ be a field of real numbers, Ⓡis a normed space under usual operations and norm, let E=(2,5,8), find int(E), b(E) and D(E). (6) Write the definition of bounded linear function between two normed spaces and write with prove the relation between continuous and bounded linear function between two normed spaces.arrow_forwardind → 6 Q₁/(a) Let R be a field of real numbers and X-P(x)=(a+bx+cx²+dx/ a,b,c,dER},X is a vector space over R, show that is finite dimension. (b) Let be a bijective linear function from a finite dimension vector ✓ into a space Yand Sbe a basis for X, show that whether f(S) basis for or not. (c) Let be a vector space over a field F and A,B)affine subsets of X,show that whether aAn BB, aAU BB be affine subsets of X or not, a,ẞ EF. (12 Jal (answer only two) (6) Let M be a non-empty subset of a vector space X and tEX, show that M is a hyperspace of X iff t+M is a hyperplane of X and tЄt+M. (b) State Jahn-Banach theorem and write with prove an application of Hahn-arrow_forward(b) Let A and B be two subset of a linear space X such that ACB, show that whether if A is affine set then B affine or need not and if B affine set then A affine set or need not. Qz/antonly be a-Show that every hyperspace of a vecor space X is hyperplane but the convers need not to be true. b- Let M be a finite dimension subspace of a Banach space X show that M is closed set. c-Show that every two norms on finite dimension vector space are equivant (1) Q/answer only two a-Write the definition of bounded set in: a normed space and write with prove an equivalent statement to a definition. b- Let f be a function from a normed space X into a normed space Y, show that f continuous iff f is bounded. c-Show that every finite dimension normed space is a Banach. Q/a- Let A and B two open sets in a normed space X, show that by definition AnB and AUB are open sets. (1 nood truearrow_forward
- log (6x+5)-log 3 = log 2 - log xarrow_forward1 The ratio of Argan to Potassium from a sample found sample found in Canada is .195 Find The estimated age of the sample A In (1+8.33 (+)) t = (1-26 × 109) en (1 In aarrow_forward7. Find the doubling time of an investment earning 2.5% interest compounded a) semiannually b) continuouslyarrow_forward
- 6. Find the time it will take $1000 to grow to $5000 at an interest rate of 3.5% if the interest is compounded a) quarterly b) continuouslyarrow_forward. Find how many years it takes for $1786 to grow to $2063 if invested at 2.6% annual interest compounded monthly. 12+arrow_forward(1) Let M and N be non-empty subsets of a linear space X, show that whether = U or not, and show that there whether exsits a liear function from P₂(x) into R' which onto but not one-to-one or not. ام (2) Let R be a field of real numbers and P,(x)=(a+bx+cx? / a,b,ce R} be a vector space over R, show that whether there exsit two hyperspaces A and B such that AUB is a hyperspace or not. (3) Let A be an affine set in a linear space X over afield F and tEA, show that A-t is a subspace of Xand show that if M and N are balanced sets then M+N is balanced set. (4) Write the definition of bounded set in a normed space, and write with prove an equivalent statement to definition. (5) Let d be a metric on a linear space X over a field F, write conditions on d in order to get that there is a norm on X induced dy d and prove that. (6) Let M be a non-empty subset of a normed space X, show that xEcl(M) iff for any r>o there exsits yEM such that llx-yllarrow_forwardFind all solutions to the following equation. Do you get any extraneous solutions? Explain why or why not. 2 2 + x+1x-1 x21 Show all steps in your process. Be sure to state your claim, provide your evidence, and provide your reasoning before submitting.arrow_forwardDirections: For problems 1 through 3, read each question carefully and be sure to show all work. 1. What is the phase shift for y = 2sin(2x-)? 2. What is the amplitude of y = 7cos(2x+л)? 3. What is the period of y = sin(3x-π)? Directions: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation. Be sure to include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift between the two graphs. Write in complete sentences. 4. y 3sin(2x) and y = 3cos(2x) 5. y 4sin(2x) and y = cos(3x- -플)arrow_forward2. Find the exact value of 12 + 12+12+√√12+ √12+ 12arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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