Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 9.9, Problem 33HP
To determine

A linear function

Expert Solution & Answer
Check Mark

Answer to Problem 33HP

The linear function is y=4x+1

Explanation of Solution

Given:

First difference of 4

Concept Used:

If first difference of y-values is equal, then model be linear

If second difference be equal, then the model be quadratic

If first and second differences are not equal then the model will be exponential

Calculation:

In order to find a linear function that has a constant first difference of 4 is shown below:

  y=4x+1

Thus, the linear function is y=4x+1

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Chapter 9.9, Problem 32HP
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Chapter 9.9, Problem 34HP

Chapter 9 Solutions

Algebra 1

Ch. 9.1 - Prob. 67PPSCh. 9.1 - Prob. 68HPCh. 9.1 - Prob. 69HPCh. 9.1 - Prob. 70HPCh. 9.1 - Prob. 71HPCh. 9.1 - Prob. 72HPCh. 9.1 - Prob. 73HPCh. 9.1 - Prob. 74HPCh. 9.1 - Prob. 75STPCh. 9.1 - Prob. 76STP
Ch. 9.1 - Prob. 77STPCh. 9.1 - Prob. 78STPCh. 9.1 - Prob. 79SRCh. 9.1 - Prob. 80SRCh. 9.1 - Prob. 81SRCh. 9.1 - Prob. 82SRCh. 9.1 - Prob. 83SRCh. 9.1 - Prob. 84SRCh. 9.1 - Prob. 85SRCh. 9.1 - Prob. 86SRCh. 9.1 - Prob. 87SRCh. 9.1 - Prob. 88SRCh. 9.1 - Prob. 89SRCh. 9.1 - Prob. 90SRCh. 9.1 - Prob. 91SRCh. 9.1 - Prob. 92SRCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45PPSCh. 9.1 - Prob. 46PPSCh. 9.1 - Prob. 47PPSCh. 9.1 - Prob. 48PPSCh. 9.1 - Prob. 49PPSCh. 9.1 - Prob. 50PPSCh. 9.1 - Prob. 51PPSCh. 9.1 - Prob. 52PPSCh. 9.1 - Prob. 53PPSCh. 9.1 - Prob. 54PPSCh. 9.1 - Prob. 55PPSCh. 9.1 - Prob. 56PPSCh. 9.1 - Prob. 57PPSCh. 9.1 - Prob. 58PPSCh. 9.1 - Prob. 59PPSCh. 9.1 - Prob. 60PPSCh. 9.1 - Prob. 61PPSCh. 9.1 - Prob. 62PPSCh. 9.1 - Prob. 63PPSCh. 9.1 - Prob. 64PPSCh. 9.1 - Prob. 65PPSCh. 9.1 - Prob. 66PPSCh. 9.1 - Prob. 93SCh. 9.1 - Prob. 94SCh. 9.1 - Prob. 95SCh. 9.1 - Prob. 1CYPCh. 9.1 - 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Prob. 76SCh. 9.5 - Prob. 77SCh. 9.5 - Prob. 1CYPCh. 9.5 - Prob. 2ACYPCh. 9.5 - Prob. 2BCYPCh. 9.5 - Prob. 3ACYPCh. 9.5 - Prob. 3BCYPCh. 9.5 - Prob. 4ACYPCh. 9.5 - Prob. 4BCYPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10CYUCh. 9.5 - Prob. 11CYUCh. 9.5 - Prob. 12CYUCh. 9.5 - Prob. 13CYUCh. 9.5 - Prob. 14CYUCh. 9.5 - Prob. 15CYUCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44PPSCh. 9.5 - Prob. 45PPSCh. 9.5 - Prob. 46PPSCh. 9.5 - Prob. 47PPSCh. 9.5 - Prob. 48PPSCh. 9.5 - Prob. 49PPSCh. 9.5 - Prob. 50PPSCh. 9.5 - Prob. 51HPCh. 9.5 - Prob. 52HPCh. 9.5 - Prob. 53HPCh. 9.5 - Prob. 55HPCh. 9.5 - Prob. 56HPCh. 9.5 - Prob. 57HPCh. 9.5 - Prob. 60STPCh. 9.5 - Prob. 61STPCh. 9.5 - Prob. 62STPCh. 9.5 - Prob. 63SRCh. 9.5 - Prob. 64SRCh. 9.5 - Prob. 65SRCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 54HPCh. 9.5 - Prob. 58HPCh. 9.5 - Prob. 59STPCh. 9.6 - Prob. 3BCYPCh. 9.6 - Prob. 1ACYPCh. 9.6 - Prob. 1BCYPCh. 9.6 - Prob. 2ACYPCh. 9.6 - Prob. 2BCYPCh. 9.6 - Prob. 3ACYPCh. 9.6 - Prob. 4CYPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10PPSCh. 9.6 - Prob. 11PPSCh. 9.6 - Prob. 12PPSCh. 9.6 - Prob. 13PPSCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - 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Prob. 8CYUCh. 9.8 - Prob. 9CYUCh. 9.8 - Prob. 10CYUCh. 9.8 - Prob. 11CYUCh. 9.8 - Prob. 12CYUCh. 9.8 - Prob. 13CYUCh. 9.8 - Prob. 14PPSCh. 9.8 - Prob. 15PPSCh. 9.8 - Prob. 16PPSCh. 9.8 - Prob. 17PPSCh. 9.8 - Prob. 18PPSCh. 9.8 - Prob. 19PPSCh. 9.8 - Prob. 20PPSCh. 9.8 - Prob. 21PPSCh. 9.8 - Prob. 22PPSCh. 9.8 - Prob. 23PPSCh. 9.8 - Prob. 24PPSCh. 9.8 - Prob. 25PPSCh. 9.8 - Prob. 26PPSCh. 9.8 - Prob. 27PPSCh. 9.8 - Prob. 28PPSCh. 9.8 - Prob. 29PPSCh. 9.8 - Prob. 30PPSCh. 9.8 - Prob. 31PPSCh. 9.8 - Prob. 32PPSCh. 9.9 - Prob. 1ACYPCh. 9.9 - Prob. 1BCYPCh. 9.9 - Prob. 2ACYPCh. 9.9 - Prob. 2BCYPCh. 9.9 - Prob. 3ACYPCh. 9.9 - Prob. 3BCYPCh. 9.9 - Prob. 4CYPCh. 9.9 - Prob. 1CYUCh. 9.9 - Prob. 2CYUCh. 9.9 - Prob. 3CYUCh. 9.9 - Prob. 4CYUCh. 9.9 - Prob. 5CYUCh. 9.9 - Prob. 6CYUCh. 9.9 - Prob. 7CYUCh. 9.9 - Prob. 8CYUCh. 9.9 - Prob. 9CYUCh. 9.9 - Prob. 10CYUCh. 9.9 - Prob. 11CYUCh. 9.9 - Prob. 12CYUCh. 9.9 - Prob. 13CYUCh. 9.9 - Prob. 14PPSCh. 9.9 - Prob. 15PPSCh. 9.9 - Prob. 16PPSCh. 9.9 - Prob. 17PPSCh. 9.9 - Prob. 18PPSCh. 9.9 - Prob. 19PPSCh. 9.9 - Prob. 20PPSCh. 9.9 - Prob. 21PPSCh. 9.9 - Prob. 22PPSCh. 9.9 - Prob. 23PPSCh. 9.9 - Prob. 24PPSCh. 9.9 - Prob. 25PPSCh. 9.9 - Prob. 26PPSCh. 9.9 - Prob. 27PPSCh. 9.9 - Prob. 28PPSCh. 9.9 - Prob. 29PPSCh. 9.9 - Prob. 30PPSCh. 9.9 - Prob. 31HPCh. 9.9 - Prob. 32HPCh. 9.9 - Prob. 33HPCh. 9.9 - Prob. 34HPCh. 9.9 - Prob. 36STPCh. 9.9 - Prob. 37STPCh. 9.9 - Prob. 38STPCh. 9.9 - Prob. 39STPCh. 9.9 - Prob. 40SRCh. 9.9 - Prob. 41SRCh. 9.9 - Prob. 42SRCh. 9.9 - Prob. 43SRCh. 9.9 - Prob. 44SRCh. 9.9 - Prob. 45SRCh. 9.9 - Prob. 46SRCh. 9.9 - Prob. 47SRCh. 9.9 - Prob. 48SRCh. 9.9 - Prob. 49SRCh. 9.9 - Prob. 50SRCh. 9.9 - Prob. 51SRCh. 9.9 - Prob. 52SRCh. 9.9 - Prob. 53SRCh. 9.9 - Prob. 54SRCh. 9.9 - Prob. 55SRCh. 9.9 - Prob. 56SRCh. 9.9 - Prob. 57SRCh. 9.9 - Prob. 58SRCh. 9.9 - Prob. 59SRCh. 9.9 - Prob. 60SCh. 9.9 - Prob. 61SCh. 9.9 - Prob. 62SCh. 9.9 - Prob. 35HPCh. 9 - Prob. 5STPCh. 9 - Prob. 6STPCh. 9 - Prob. 7STPCh. 9 - Prob. 8STPCh. 9 - Prob. 9STPCh. 9 - Prob. 10STPCh. 9 - Prob. 11STPCh. 9 - Prob. 1QCCh. 9 - Prob. 2QCCh. 9 - Prob. 3QCCh. 9 - Prob. 4QCCh. 9 - Prob. 5QCCh. 9 - Prob. 6QCCh. 9 - Prob. 7QCCh. 9 - Prob. 8QCCh. 9 - Prob. 9QCCh. 9 - Prob. 10QCCh. 9 - Prob. 11QCCh. 9 - Prob. 12QCCh. 9 - Prob. 13QCCh. 9 - Prob. 14QCCh. 9 - Prob. 15QCCh. 9 - Prob. 16QCCh. 9 - Prob. 17QCCh. 9 - Prob. 18QCCh. 9 - Prob. 19QCCh. 9 - Prob. 20QCCh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 14MCQCh. 9 - Prob. 15MCQCh. 9 - Prob. 16MCQCh. 9 - Prob. 17MCQCh. 9 - Prob. 18MCQCh. 9 - Prob. 19MCQCh. 9 - Prob. 20MCQCh. 9 - Prob. 21MCQCh. 9 - Prob. 22MCQCh. 9 - Prob. 23MCQCh. 9 - Prob. 24MCQCh. 9 - Prob. 25MCQCh. 9 - Prob. 1SGRCh. 9 - Prob. 2SGRCh. 9 - Prob. 3SGRCh. 9 - Prob. 4SGRCh. 9 - Prob. 5SGRCh. 9 - Prob. 6SGRCh. 9 - Prob. 7SGRCh. 9 - Prob. 8SGRCh. 9 - Prob. 9SGRCh. 9 - Prob. 10SGRCh. 9 - Prob. 11SGRCh. 9 - Prob. 12SGRCh. 9 - Prob. 13SGRCh. 9 - Prob. 14SGRCh. 9 - Prob. 15SGRCh. 9 - Prob. 16SGRCh. 9 - Prob. 17SGRCh. 9 - Prob. 18SGRCh. 9 - Prob. 19SGRCh. 9 - Prob. 20SGRCh. 9 - Prob. 21SGRCh. 9 - Prob. 22SGRCh. 9 - Prob. 23SGRCh. 9 - Prob. 24SGRCh. 9 - Prob. 25SGRCh. 9 - Prob. 26SGRCh. 9 - Prob. 27SGRCh. 9 - Prob. 28SGRCh. 9 - Prob. 29SGRCh. 9 - Prob. 30SGRCh. 9 - Prob. 31SGRCh. 9 - Prob. 32SGRCh. 9 - Prob. 33SGRCh. 9 - Prob. 34SGRCh. 9 - Prob. 35SGRCh. 9 - Prob. 36SGRCh. 9 - Prob. 37SGRCh. 9 - Prob. 38SGRCh. 9 - Prob. 39SGRCh. 9 - Prob. 40SGRCh. 9 - Prob. 41SGRCh. 9 - Prob. 42SGRCh. 9 - Prob. 43SGRCh. 9 - Prob. 44SGRCh. 9 - Prob. 45SGRCh. 9 - Prob. 46SGRCh. 9 - Prob. 47SGRCh. 9 - Prob. 48SGRCh. 9 - Prob. 49SGRCh. 9 - Prob. 50SGRCh. 9 - Prob. 51SGRCh. 9 - Prob. 52SGRCh. 9 - Prob. 53SGRCh. 9 - Prob. 54SGRCh. 9 - Prob. 55SGRCh. 9 - Prob. 56SGRCh. 9 - Prob. 57SGRCh. 9 - Prob. 58SGRCh. 9 - Prob. 59SGRCh. 9 - Prob. 60SGRCh. 9 - Prob. 61SGRCh. 9 - Prob. 62SGRCh. 9 - Prob. 63SGRCh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 16PTCh. 9 - Prob. 17PTCh. 9 - Prob. 18PTCh. 9 - Prob. 19PTCh. 9 - Prob. 20PTCh. 9 - Prob. 21PTCh. 9 - Prob. 22PTCh. 9 - Prob. 23PTCh. 9 - Prob. 24PTCh. 9 - Prob. 25PTCh. 9 - Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 1STPCh. 9 - Prob. 2STPCh. 9 - Prob. 3STPCh. 9 - Prob. 4STP

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