Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Concept explainers

Limits
When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…
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Chapter 11, Problem 23CLR
To determine

To find: The least value of function.

Expert Solution & Answer
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Answer to Problem 23CLR

The least value of function is 2 .

Explanation of Solution

Given information:

The function is f:x→x2−4x+4 .

Calculation:

Consider the function.

  f(x)=x2−4x+4

The minimum value of a quadratic equation lies at −b2a .

Standard quadratic equation is ax2+bx+c=0 .

Compare the function with standard equation.

  a=1b=−4

Calculate the minimum value.

  min=−b2a=−(−4)2(1)=2

Therefore, the least value of function is 2 .

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Chapter 11, Problem 22CLR
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Chapter 11, Problem 24CLR

Chapter 11 Solutions

Algebra: Structure And Method, Book 1

Ch. 11.1 - Prob. 1OECh. 11.1 - Prob. 2OECh. 11.1 - Prob. 3OECh. 11.1 - Prob. 4OECh. 11.1 - Prob. 5OECh. 11.1 - Prob. 6OECh. 11.1 - Prob. 7OECh. 11.1 - Prob. 8OECh. 11.1 - Prob. 9OECh. 11.1 - Prob. 10OE
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Prob. 24WECh. 11.5 - Prob. 25WECh. 11.5 - Prob. 26WECh. 11.5 - Prob. 27WECh. 11.5 - Prob. 28WECh. 11.5 - Prob. 29WECh. 11.5 - Prob. 30WECh. 11.5 - Prob. 31WECh. 11.5 - Prob. 32WECh. 11.5 - Prob. 33WECh. 11.5 - Prob. 34WECh. 11.5 - Prob. 35WECh. 11.5 - Prob. 36WECh. 11.5 - Prob. 37WECh. 11.5 - Prob. 38WECh. 11.5 - Prob. 39WECh. 11.5 - Prob. 40WECh. 11.5 - Prob. 41WECh. 11.5 - Prob. 42WECh. 11.5 - Prob. 43WECh. 11.5 - Prob. 44WECh. 11.5 - Prob. 45WECh. 11.5 - Prob. 46WECh. 11.5 - Prob. 47WECh. 11.5 - Prob. 48WECh. 11.5 - Prob. 49WECh. 11.5 - Prob. 50WECh. 11.5 - Prob. 51WECh. 11.5 - Prob. 52WECh. 11.5 - Prob. 53WECh. 11.5 - Prob. 54WECh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Prob. 6PCh. 11.5 - Prob. 7PCh. 11.5 - Prob. 8PCh. 11.5 - Prob. 9PCh. 11.5 - Prob. 10PCh. 11.5 - Prob. 11PCh. 11.5 - Prob. 12PCh. 11.5 - Prob. 1MRECh. 11.5 - Prob. 2MRECh. 11.5 - Prob. 3MRECh. 11.5 - Prob. 4MRECh. 11.5 - Prob. 5MRECh. 11.5 - Prob. 6MRECh. 11.5 - 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Prob. 4ECh. 11.8 - Prob. 5ECh. 11.8 - Prob. 6ECh. 11.9 - Prob. 1OECh. 11.9 - Prob. 2OECh. 11.9 - Prob. 3OECh. 11.9 - Prob. 4OECh. 11.9 - Prob. 5OECh. 11.9 - Prob. 6OECh. 11.9 - Prob. 7OECh. 11.9 - Prob. 8OECh. 11.9 - Prob. 1WECh. 11.9 - Prob. 2WECh. 11.9 - Prob. 3WECh. 11.9 - Prob. 4WECh. 11.9 - Prob. 5WECh. 11.9 - Prob. 6WECh. 11.9 - Prob. 7WECh. 11.9 - Prob. 8WECh. 11.9 - Prob. 9WECh. 11.9 - Prob. 10WECh. 11.9 - Prob. 11WECh. 11.9 - Prob. 12WECh. 11.9 - Prob. 13WECh. 11.9 - Prob. 14WECh. 11.9 - Prob. 15WECh. 11.9 - Prob. 16WECh. 11.9 - Prob. 17WECh. 11.9 - Prob. 18WECh. 11.9 - Prob. 19WECh. 11.9 - Prob. 20WECh. 11.9 - Prob. 21WECh. 11.9 - Prob. 22WECh. 11.9 - Prob. 23WECh. 11.9 - Prob. 24WECh. 11.9 - Prob. 25WECh. 11.9 - Prob. 26WECh. 11.9 - Prob. 27WECh. 11.9 - Prob. 28WECh. 11.9 - Prob. 29WECh. 11.9 - Prob. 30WECh. 11.9 - Prob. 31WECh. 11.9 - Prob. 32WECh. 11.9 - Prob. 33WECh. 11.9 - Prob. 34WECh. 11.9 - Prob. 35WECh. 11.9 - Prob. 36WECh. 11.9 - Prob. 37WECh. 11.9 - Prob. 38WECh. 11.9 - Prob. 39WECh. 11.9 - Prob. 40WECh. 11.9 - Prob. 41WECh. 11.9 - Prob. 42WECh. 11.9 - Prob. 43WECh. 11.9 - Prob. 44WECh. 11.9 - Prob. 45WECh. 11.9 - Prob. 46WECh. 11.9 - Prob. 47WECh. 11.9 - Prob. 1MRECh. 11.9 - Prob. 2MRECh. 11.9 - Prob. 3MRECh. 11.9 - Prob. 4MRECh. 11.9 - Prob. 5MRECh. 11.9 - Prob. 6MRECh. 11.9 - Prob. 7MRECh. 11.9 - Prob. 8MRECh. 11.9 - Prob. 9MRECh. 11.9 - Prob. 10MRECh. 11.9 - Prob. 11MRECh. 11.9 - Prob. 12MRECh. 11.10 - Prob. 1OECh. 11.10 - Prob. 2OECh. 11.10 - Prob. 3OECh. 11.10 - Prob. 4OECh. 11.10 - Prob. 5OECh. 11.10 - Prob. 6OECh. 11.10 - Prob. 7OECh. 11.10 - Prob. 8OECh. 11.10 - Prob. 9OECh. 11.10 - Prob. 10OECh. 11.10 - Prob. 11OECh. 11.10 - Prob. 12OECh. 11.10 - Prob. 13OECh. 11.10 - Prob. 14OECh. 11.10 - Prob. 15OECh. 11.10 - Prob. 1WECh. 11.10 - Prob. 2WECh. 11.10 - Prob. 3WECh. 11.10 - Prob. 4WECh. 11.10 - Prob. 5WECh. 11.10 - Prob. 6WECh. 11.10 - Prob. 7WECh. 11.10 - Prob. 8WECh. 11.10 - Prob. 9WECh. 11.10 - Prob. 10WECh. 11.10 - Prob. 11WECh. 11.10 - Prob. 12WECh. 11.10 - Prob. 13WECh. 11.10 - Prob. 14WECh. 11.10 - Prob. 15WECh. 11.10 - Prob. 16WECh. 11.10 - Prob. 17WECh. 11.10 - Prob. 18WECh. 11.10 - Prob. 19WECh. 11.10 - Prob. 20WECh. 11.10 - Prob. 21WECh. 11.10 - Prob. 22WECh. 11.10 - Prob. 23WECh. 11.10 - Prob. 24WECh. 11.10 - Prob. 25WECh. 11.10 - Prob. 26WECh. 11.10 - Prob. 27WECh. 11.10 - Prob. 28WECh. 11.10 - Prob. 29WECh. 11.10 - Prob. 30WECh. 11.10 - Prob. 31WECh. 11.10 - Prob. 32WECh. 11.10 - Prob. 33WECh. 11.10 - Prob. 34WECh. 11.10 - Prob. 35WECh. 11.10 - Prob. 36WECh. 11.10 - Prob. 37WECh. 11.10 - Prob. 38WECh. 11.10 - Prob. 39WECh. 11.10 - Prob. 40WECh. 11.10 - Prob. 41WECh. 11.10 - Prob. 42WECh. 11.10 - Prob. 43WECh. 11.10 - Prob. 44WECh. 11.10 - Prob. 45WECh. 11.10 - Prob. 46WECh. 11.10 - Prob. 47WECh. 11.10 - Prob. 48WECh. 11.10 - Prob. 49WECh. 11.10 - Prob. 50WECh. 11.10 - Prob. 1PCh. 11.10 - Prob. 2PCh. 11.10 - Prob. 3PCh. 11.10 - Prob. 4PCh. 11.10 - Prob. 5PCh. 11.10 - Prob. 6PCh. 11.10 - Prob. 7PCh. 11.10 - Prob. 8PCh. 11.10 - Prob. 9PCh. 11.10 - Prob. 10PCh. 11.10 - Prob. 11PCh. 11.10 - Prob. 1MRECh. 11.10 - Prob. 2MRECh. 11.10 - Prob. 3MRECh. 11.10 - Prob. 4MRECh. 11.10 - Prob. 5MRECh. 11.10 - Prob. 6MRECh. 11.10 - Prob. 7MRECh. 11.10 - Prob. 8MRECh. 11.10 - Prob. 9MRECh. 11.10 - Prob. 10MRECh. 11.10 - Prob. 11MRECh. 11.10 - Prob. 12MRECh. 11.10 - Prob. 1STCh. 11.10 - Prob. 2STCh. 11.10 - Prob. 3STCh. 11.10 - Prob. 4STCh. 11.10 - Prob. 5STCh. 11.10 - Prob. 6STCh. 11.10 - Prob. 7STCh. 11.10 - Prob. 8STCh. 11.10 - Prob. 9STCh. 11.10 - Prob. 10STCh. 11.10 - Prob. 1ECh. 11.10 - Prob. 2ECh. 11.10 - Prob. 3ECh. 11.10 - Prob. 4ECh. 11.10 - Prob. 5ECh. 11.10 - Prob. 6ECh. 11.10 - Prob. 7ECh. 11.10 - Prob. 8ECh. 11.10 - Prob. 9ECh. 11.10 - Prob. 10ECh. 11.10 - Prob. 11ECh. 11.10 - Prob. 12ECh. 11.10 - Prob. 13ECh. 11.10 - Prob. 14ECh. 11.10 - Prob. 15ECh. 11.10 - Prob. 16ECh. 11.10 - Prob. 17ECh. 11.10 - Prob. 18ECh. 11.10 - Prob. 19ECh. 11.10 - Prob. 20ECh. 11.10 - Prob. 21ECh. 11.10 - Prob. 22ECh. 11.10 - Prob. 23ECh. 11.10 - Prob. 24ECh. 11.10 - Prob. 25ECh. 11.10 - Prob. 26ECh. 11.10 - Prob. 27ECh. 11.10 - Prob. 28ECh. 11.10 - Prob. 29ECh. 11.10 - Prob. 30ECh. 11.10 - Prob. 31ECh. 11.10 - Prob. 32ECh. 11.10 - Prob. 33ECh. 11.10 - Prob. 34ECh. 11.10 - Prob. 35ECh. 11.10 - Prob. 36ECh. 11.10 - Prob. 37ECh. 11.10 - Prob. 38ECh. 11.10 - Prob. 39ECh. 11.10 - Prob. 40ECh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 9CTCh. 11 - Prob. 10CTCh. 11 - Prob. 11CTCh. 11 - Prob. 12CTCh. 11 - Prob. 13CTCh. 11 - Prob. 14CTCh. 11 - Prob. 15CTCh. 11 - Prob. 16CTCh. 11 - Prob. 17CTCh. 11 - Prob. 18CTCh. 11 - Prob. 19CTCh. 11 - Prob. 20CTCh. 11 - Prob. 21CTCh. 11 - Prob. 1CLRCh. 11 - Prob. 2CLRCh. 11 - Prob. 3CLRCh. 11 - Prob. 4CLRCh. 11 - Prob. 5CLRCh. 11 - Prob. 6CLRCh. 11 - Prob. 7CLRCh. 11 - Prob. 8CLRCh. 11 - Prob. 9CLRCh. 11 - Prob. 10CLRCh. 11 - Prob. 11CLRCh. 11 - Prob. 12CLRCh. 11 - Prob. 13CLRCh. 11 - Prob. 14CLRCh. 11 - Prob. 15CLRCh. 11 - Prob. 16CLRCh. 11 - Prob. 17CLRCh. 11 - Prob. 18CLRCh. 11 - Prob. 19CLRCh. 11 - Prob. 20CLRCh. 11 - Prob. 21CLRCh. 11 - Prob. 22CLRCh. 11 - Prob. 23CLRCh. 11 - Prob. 24CLRCh. 11 - Prob. 25CLRCh. 11 - Prob. 26CLRCh. 11 - Prob. 27CLRCh. 11 - Prob. 28CLRCh. 11 - Prob. 29CLRCh. 11 - Prob. 30CLRCh. 11 - Prob. 31CLRCh. 11 - Prob. 32CLRCh. 11 - Prob. 33CLRCh. 11 - Prob. 34CLRCh. 11 - Prob. 35CLRCh. 11 - Prob. 36CLRCh. 11 - Prob. 37CLRCh. 11 - Prob. 38CLRCh. 11 - Prob. 39CLRCh. 11 - Prob. 40CLRCh. 11 - Prob. 41CLRCh. 11 - Prob. 42CLRCh. 11 - Prob. 1MSCh. 11 - Prob. 2MSCh. 11 - Prob. 3MSCh. 11 - Prob. 4MSCh. 11 - Prob. 5MSCh. 11 - Prob. 6MSCh. 11 - Prob. 7MSCh. 11 - Prob. 8MSCh. 11 - Prob. 9MSCh. 11 - Prob. 10MSCh. 11 - Prob. 11MSCh. 11 - Prob. 12MSCh. 11 - Prob. 13MSCh. 11 - Prob. 14MSCh. 11 - Prob. 15MSCh. 11 - Prob. 16MSCh. 11 - Prob. 17MSCh. 11 - Prob. 18MSCh. 11 - Prob. 19MSCh. 11 - Prob. 20MSCh. 11 - Prob. 21MSCh. 11 - Prob. 1MPSCh. 11 - Prob. 2MPSCh. 11 - Prob. 3MPSCh. 11 - Prob. 4MPSCh. 11 - Prob. 5MPSCh. 11 - Prob. 6MPSCh. 11 - Prob. 7MPSCh. 11 - Prob. 8MPSCh. 11 - Prob. 9MPSCh. 11 - Prob. 10MPSCh. 11 - Prob. 11MPSCh. 11 - Prob. 12MPSCh. 11 - Prob. 13MPS

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