Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Question
Chapter 4, Problem 21MCQ
To determine
To find the least common multiple of 30,54
Expert Solution & Answer
Answer to Problem 21MCQ
270
Explanation of Solution
Given information:
Numbers 30 and 54
Formula Used: Least Common Multiple
Calculation:
To find the Least Common Multiple of two numbers, list down the multiples of each number individually. And then the first multiple they have in common is their LCM.
Multiples of 30 are 30,60,90,120, 150, 180 , 210,240,270,300
Multiples of 54 are 54, 108, 162, 216, 270, 324, 378
Since 270 is the first common multiple, hence the LCM of 30 & 54 is 270
Conclusion-
270
Chapter 4 Solutions
Pre-Algebra
Ch. 4.1 - Prob. 1CCh. 4.1 - Prob. 2CCh. 4.1 - Prob. 3CCh. 4.1 - Prob. 4CCh. 4.1 - Prob. 5CCh. 4.1 - Prob. 6CCh. 4.1 - Prob. 7CCh. 4.1 - Prob. 8CCh. 4.1 - Prob. 9CCh. 4.1 - Prob. 10C
Ch. 4.1 - Prob. 11CCh. 4.1 - Prob. 12CCh. 4.1 - Prob. 13CCh. 4.1 - Prob. 14CCh. 4.1 - Prob. 15CCh. 4.1 - Prob. 16CCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Prob. 75ECh. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Prob. 79ECh. 4.1 - Prob. 80ECh. 4.1 - Prob. 81ECh. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.2 - Prob. 1CCh. 4.2 - Prob. 2CCh. 4.2 - Prob. 3CCh. 4.2 - Prob. 4CCh. 4.2 - Prob. 5CCh. 4.2 - Prob. 6CCh. 4.2 - Prob. 7CCh. 4.2 - Prob. 8CCh. 4.2 - Prob. 9CCh. 4.2 - Prob. 10CCh. 4.2 - Prob. 11CCh. 4.2 - Prob. 12CCh. 4.2 - Prob. 13CCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - 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Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.4 - Prob. 1CCh. 4.4 - Prob. 2CCh. 4.4 - Prob. 3CCh. 4.4 - Prob. 4CCh. 4.4 - Prob. 5CCh. 4.4 - Prob. 6CCh. 4.4 - Prob. 7CCh. 4.4 - Prob. 8CCh. 4.4 - Prob. 9CCh. 4.4 - Prob. 10CCh. 4.4 - Prob. 11CCh. 4.4 - Prob. 12CCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.5 - Prob. 1CCh. 4.5 - Prob. 2CCh. 4.5 - Prob. 3CCh. 4.5 - Prob. 4CCh. 4.5 - Prob. 5CCh. 4.5 - Prob. 6CCh. 4.5 - Prob. 7CCh. 4.5 - Prob. 8CCh. 4.5 - Prob. 9CCh. 4.5 - Prob. 10CCh. 4.5 - Prob. 11CCh. 4.5 - Prob. 12CCh. 4.5 - Prob. 13CCh. 4.5 - Prob. 14CCh. 4.5 - Prob. 15CCh. 4.5 - Prob. 16CCh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Prob. 71ECh. 4.5 - Prob. 72ECh. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.6 - Prob. 1CCh. 4.6 - Prob. 2CCh. 4.6 - Prob. 3CCh. 4.6 - Prob. 4CCh. 4.6 - Prob. 5CCh. 4.6 - Prob. 6CCh. 4.6 - Prob. 7CCh. 4.6 - Prob. 8CCh. 4.6 - Prob. 9CCh. 4.6 - Prob. 10CCh. 4.6 - Prob. 11CCh. 4.6 - Prob. 12CCh. 4.6 - Prob. 13CCh. 4.6 - Prob. 14CCh. 4.6 - Prob. 15CCh. 4.6 - Prob. 16CCh. 4.6 - Prob. 1ECh. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Prob. 6ECh. 4.6 - Prob. 7ECh. 4.6 - Prob. 8ECh. 4.6 - Prob. 9ECh. 4.6 - Prob. 10ECh. 4.6 - Prob. 11ECh. 4.6 - Prob. 12ECh. 4.6 - Prob. 13ECh. 4.6 - Prob. 14ECh. 4.6 - Prob. 15ECh. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Prob. 18ECh. 4.6 - Prob. 19ECh. 4.6 - Prob. 20ECh. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - Prob. 24ECh. 4.6 - Prob. 25ECh. 4.6 - Prob. 26ECh. 4.6 - Prob. 27ECh. 4.6 - Prob. 28ECh. 4.6 - Prob. 29ECh. 4.6 - Prob. 30ECh. 4.6 - Prob. 31ECh. 4.6 - Prob. 32ECh. 4.6 - Prob. 33ECh. 4.6 - Prob. 34ECh. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Prob. 37ECh. 4.6 - Prob. 38ECh. 4.6 - Prob. 39ECh. 4.6 - Prob. 40ECh. 4.6 - Prob. 41ECh. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Prob. 45ECh. 4.6 - Prob. 46ECh. 4.6 - Prob. 47ECh. 4.6 - Prob. 48ECh. 4.6 - Prob. 49ECh. 4.6 - Prob. 50ECh. 4.6 - Prob. 51ECh. 4.6 - Prob. 52ECh. 4.6 - Prob. 53ECh. 4.6 - Prob. 54ECh. 4.6 - Prob. 55ECh. 4.6 - Prob. 56ECh. 4.6 - Prob. 57ECh. 4.6 - Prob. 58ECh. 4.6 - Prob. 59ECh. 4.6 - Prob. 60ECh. 4.6 - Prob. 61ECh. 4.6 - Prob. 62ECh. 4.6 - Prob. 63ECh. 4.6 - Prob. 64ECh. 4.6 - Prob. 65ECh. 4.6 - Prob. 66ECh. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Prob. 70ECh. 4.6 - Prob. 71ECh. 4.6 - Prob. 72ECh. 4.7 - Prob. 1CCh. 4.7 - Prob. 2CCh. 4.7 - Prob. 3CCh. 4.7 - Prob. 4CCh. 4.7 - Prob. 5CCh. 4.7 - Prob. 6CCh. 4.7 - Prob. 7CCh. 4.7 - Prob. 8CCh. 4.7 - Prob. 9CCh. 4.7 - Prob. 10CCh. 4.7 - Prob. 11CCh. 4.7 - Prob. 12CCh. 4.7 - Prob. 1ECh. 4.7 - Prob. 2ECh. 4.7 - Prob. 3ECh. 4.7 - Prob. 4ECh. 4.7 - Prob. 5ECh. 4.7 - Prob. 6ECh. 4.7 - Prob. 7ECh. 4.7 - Prob. 8ECh. 4.7 - Prob. 9ECh. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - Prob. 13ECh. 4.7 - Prob. 14ECh. 4.7 - Prob. 15ECh. 4.7 - Prob. 16ECh. 4.7 - Prob. 17ECh. 4.7 - Prob. 18ECh. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Prob. 21ECh. 4.7 - Prob. 22ECh. 4.7 - Prob. 23ECh. 4.7 - Prob. 24ECh. 4.7 - Prob. 25ECh. 4.7 - Prob. 26ECh. 4.7 - Prob. 27ECh. 4.7 - Prob. 28ECh. 4.7 - Prob. 29ECh. 4.7 - Prob. 30ECh. 4.7 - Prob. 31ECh. 4.7 - Prob. 32ECh. 4.7 - Prob. 33ECh. 4.7 - Prob. 34ECh. 4.7 - Prob. 35ECh. 4.7 - Prob. 36ECh. 4.7 - Prob. 37ECh. 4.7 - Prob. 38ECh. 4.7 - Prob. 39ECh. 4.7 - Prob. 40ECh. 4.7 - Prob. 41ECh. 4.7 - Prob. 42ECh. 4.7 - Prob. 43ECh. 4.7 - Prob. 44ECh. 4.7 - Prob. 45ECh. 4.7 - Prob. 46ECh. 4.7 - Prob. 47ECh. 4.7 - Prob. 48ECh. 4.7 - Prob. 49ECh. 4.7 - Prob. 50ECh. 4.7 - Prob. 51ECh. 4.7 - Prob. 52ECh. 4.7 - Prob. 53ECh. 4.7 - Prob. 54ECh. 4.7 - Prob. 55ECh. 4.7 - Prob. 56ECh. 4.7 - Prob. 57ECh. 4.7 - Prob. 58ECh. 4.7 - Prob. 59ECh. 4.7 - Prob. 60ECh. 4.7 - Prob. 61ECh. 4.7 - Prob. 62ECh. 4.7 - Prob. 63ECh. 4.7 - Prob. 64ECh. 4 - Prob. 1PSQCh. 4 - Prob. 2PSQCh. 4 - Prob. 3PSQCh. 4 - Prob. 4PSQCh. 4 - Prob. 5PSQCh. 4 - Prob. 6PSQCh. 4 - Prob. 7PSQCh. 4 - Prob. 8PSQCh. 4 - Prob. 9PSQCh. 4 - Prob. 10PSQCh. 4 - Prob. 11PSQCh. 4 - Prob. 12PSQCh. 4 - Prob. 13PSQCh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 24MCQCh. 4 - Prob. 25MCQCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 31CRCh. 4 - Prob. 32CRCh. 4 - Prob. 33CRCh. 4 - Prob. 34CRCh. 4 - Prob. 35CRCh. 4 - Prob. 36CRCh. 4 - Prob. 37CRCh. 4 - Prob. 38CRCh. 4 - Prob. 39CRCh. 4 - Prob. 40CRCh. 4 - Prob. 41CRCh. 4 - Prob. 42CRCh. 4 - Prob. 43CRCh. 4 - Prob. 44CRCh. 4 - Prob. 45CRCh. 4 - Prob. 46CRCh. 4 - Prob. 47CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 21CTCh. 4 - Prob. 22CTCh. 4 - Prob. 23CTCh. 4 - Prob. 24CTCh. 4 - Prob. 25CTCh. 4 - Prob. 26CTCh. 4 - Prob. 27CTCh. 4 - Prob. 28CTCh. 4 - Prob. 29CTCh. 4 - Prob. 30CTCh. 4 - Prob. 31CTCh. 4 - Prob. 32CTCh. 4 - Prob. 33CTCh. 4 - Prob. 1CSTCh. 4 - Prob. 2CSTCh. 4 - Prob. 3CSTCh. 4 - Prob. 4CSTCh. 4 - Prob. 5CSTCh. 4 - Prob. 6CSTCh. 4 - Prob. 7CSTCh. 4 - Prob. 8CSTCh. 4 - Prob. 9CSTCh. 4 - Prob. 10CSTCh. 4 - Prob. 11CSTCh. 4 - Prob. 12CSTCh. 4 - Prob. 13CSTCh. 4 - Prob. 14CSTCh. 4 - Prob. 15CST
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- x/x-2 + 3/x-4arrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor verly A:LeLM be a subset of a linear space X, show that M is a hyperplane of X iff there exists fe X'/[0] and a EF such that M = {x Ex/f(x) = = a}. B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, EX iff for any sequence (x) in X converge to x, then the sequence (f(x)) converge to (f(x)) in Y.arrow_forward2/26 Delta Math | Schoology X Unit 4: Importance of Education X Speech at the United Nations b x Book Thief Part 7 Summaries x + > CA Materials pdsd.schoology.com/external_tool/3157780380/launch ☆ MC Updates Grades Members BrainPOP Canva for Education DeltaMath Discovery Education FactCite Gale In Context: High Sc. Graw McGraw Hill K-12 SSO Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment. Click a segment to delete it. 10 9 8 5 сл y Hill Nearpod 3 2 Newsela -10 -9 -8 -7 b -5 -4-3-2 -1 1 23 4 5 b 7 89 10 Scholastic Digital Mana. World Book Online Information Grading periods MP3: 2025-01-25-2025-03- 31, MP4: 2025-04-01-2025- 06-13 ← 2 M -> C % 95 54 # m e 4 7 巴 DELL A t y & * ) 7 8 9 . i L Feb 27 12:19 US + 11arrow_forward
- Let & be linear map from as Pacex into aspace and {X1, X2, – 1— x3 basis for x show that f a one-to-one isf {f(x1), f (xx); — F (Kn) } linearly independent. மம் let M be a Proper sub space of aspace X then M is ahyper space iff for any text&M X=. C) let X be a linear space and fe X1{0} Show that is bjective or not and why? ***********arrow_forwardQ₁/(a) Let S and T be subsets of a vector space X over a field F such that SCT,show that whether (1) if S generate X then T generate X or not. (2) if T generate X then S generate X or not. (b) Let X be a vector space over a field F and A,B are subsets of X such that A is convex set and B is affine set, show that whether AnB is convex set or not, and if f be a function from X into a space Y then f(B) is an affine set or not. /(a) Let M and N be two hyperspaces of a space X write a condition to prove MUN is a hyperspace of X and condition to get that MUN is not hyperspace of X. Write with prove application n Panach theoremarrow_forwardMatch the division problem on the left with the correct quotient on the left. Note that the denominators of the reminders are omitted and replaced with R. 1) (k3-10k²+k+1) ÷ (k − 1) 2) (k4-4k-28k45k+26)+(k+7) 3) (20k+222-7k+7)+(5k-2) 4) (3+63-15k +32k-25)+(k+4) 5) (317k 13) ÷ (k+4) - 6) (k-k+8k+5)+(k+1) 7) (4-12k+6) + (k-3) 8) (3k+4k3 + 15k + 10) ÷ (3k+4) A) 3k3-6k29k - 4 B) 4k2 + 6 R 7 C)²-9k-8- R D) 4k2+6x+1+ E) 10 Elk³-5-12 R 9 F) k² - 4k R 9 R G) k3-3k2-7k+4 H) k³-k²+8 - 3 R - R 9 Rarrow_forward
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