Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 1.6, Problem 20HP
a.
To determine
To explain:The data represented in the complete table is a function or not.
a.
Expert Solution
Answer to Problem 20HP
The complete table is provided below,
The data in the table represents the function.
Explanation of Solution
Given information:
The table,
Formula used:
A relation is said to be a function if every element of domain is mapped to exactly one element of range.
Calculation:
Consider the table,
Here the x represent the number that is square of a whole number.
And y represent the positive square root of the number x .
So, square root of 4 is 2, 9 is 3, 16 is 4 and 36 is 6.
Also square of 5 is 25. Therefore, complete table is.
Recall that relation is said to be a function if every element of domain is mapped to exactly one element of range.
The elements of domain are
Each member of domain is mapped to exactly one element of range. Therefore, it represent a function.
b.
To determine
To graph: The
b.
Expert Solution
Explanation of Solution
Given information:
The data is provided below.
Graph:
When the relationship between two data sets is to be analyzed scatter plot is used.
Provided two data sets. Here the x represent the number that is square of a whole number.
And y represent the positive square root of the number x .
On the x -axis of coordinate plane denote the number from 1 to 40.
On y -axis plot denote the number from 1 to 6.
The scatter plot of the data is provided below,
Interpretation:
It is observed as the square of whole number increases its square root value also increases that is there is a strong positive linear relationship between x and y .
c.
To determine
To explain:The data represented in the complete table when the x and y coordinates are revered is a function or not.
c.
Expert Solution
Answer to Problem 20HP
The complete table is provided below,
The data in the table represents the function.
Explanation of Solution
Given information:
The table,
Formula used:
A relation is said to be a function if every element of domain is mapped to exactly one element of range.
Calculation:
Consider the table,
Here the x represent the number that is square of a whole number.
And y represent the positive square root of the number x .
Now, reverse the x and y coordinates.
So, square root of 4 is 2, 9 is 3, 16 is 4 and 36 is 6.
Also square of 5 is 25. Therefore, complete table is.
Recall that relation is said to be a function if every element of domain is mapped to exactly one element of range.
The elements of domain are
Each member of domain is mapped to exactly one element of range. Therefore, it represent a function.
d.
To determine
To graph: The scatter plot between whole number and square value of the whole number.
d.
Expert Solution
Explanation of Solution
Given information:
The data is provided below.
Graph:
When the relationship between two data sets is to be analyzed scatter plot is used.
Provided two data sets. Here the x represent the whole number.
And y represent the square value of the number x .
On the x -axis of coordinate plane denote the number from 1 to 6.
On y -axis plot denote the number from 1 to 40.
The scatter plot of the data is provided below,
Interpretation:
It is observed as the whole number increases its square value also increases that is there is a strong positive linear relationship between x and y .
Chapter 1 Solutions
Pre-Algebra, Student Edition
Ch. 1.1 - Prob. 1ACYPCh. 1.1 - Prob. 1BCYPCh. 1.1 - Prob. 2ACYPCh. 1.1 - Prob. 2BCYPCh. 1.1 - Prob. 2CCYPCh. 1.1 - Prob. 2DCYPCh. 1.1 - Prob. 3CYPCh. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 2CYUCh. 1.1 - Prob. 3CYU
Ch. 1.1 - Prob. 4CYUCh. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYUCh. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11CYUCh. 1.1 - Prob. 12PPSCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 34HPCh. 1.1 - Prob. 35HPCh. 1.1 - Prob. 36HPCh. 1.1 - Prob. 37HPCh. 1.1 - Prob. 38HPCh. 1.1 - Prob. 39STPCh. 1.1 - Prob. 40STPCh. 1.1 - Prob. 41STPCh. 1.1 - Prob. 42STPCh. 1.2 - Prob. 1ACYPCh. 1.2 - Prob. 1BCYPCh. 1.2 - Prob. 2ACYPCh. 1.2 - Prob. 2BCYPCh. 1.2 - Prob. 3ACYPCh. 1.2 - Prob. 3BCYPCh. 1.2 - Prob. 3CCYPCh. 1.2 - Prob. 4CYPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 10CYUCh. 1.2 - Prob. 11CYUCh. 1.2 - Prob. 12PPSCh. 1.2 - Prob. 13PPSCh. 1.2 - Prob. 14PPSCh. 1.2 - Prob. 15PPSCh. 1.2 - Prob. 16PPSCh. 1.2 - Prob. 17PPSCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - Prob. 26PPSCh. 1.2 - Prob. 27PPSCh. 1.2 - Prob. 28PPSCh. 1.2 - Prob. 29PPSCh. 1.2 - Prob. 30PPSCh. 1.2 - Prob. 31PPSCh. 1.2 - Prob. 32PPSCh. 1.2 - Prob. 33PPSCh. 1.2 - Prob. 34PPSCh. 1.2 - Prob. 35PPSCh. 1.2 - Prob. 36PPSCh. 1.2 - Prob. 37PPSCh. 1.2 - Prob. 38PPSCh. 1.2 - Prob. 39PPSCh. 1.2 - Prob. 40PPSCh. 1.2 - Prob. 41HPCh. 1.2 - Prob. 42HPCh. 1.2 - Prob. 43HPCh. 1.2 - Prob. 44HPCh. 1.2 - Prob. 45STPCh. 1.2 - Prob. 46STPCh. 1.2 - Prob. 47STPCh. 1.2 - Prob. 48STPCh. 1.2 - Prob. 49SRCh. 1.2 - Prob. 50SRCh. 1.2 - Prob. 51SRCh. 1.2 - Prob. 52SRCh. 1.2 - Prob. 53SRCh. 1.2 - Prob. 54SRCh. 1.2 - Prob. 55SRCh. 1.2 - Prob. 56SRCh. 1.2 - Prob. 57SRCh. 1.2 - Prob. 58SRCh. 1.2 - Prob. 59SRCh. 1.2 - Prob. 60SRCh. 1.2 - Prob. 61SCh. 1.2 - Prob. 62SCh. 1.2 - Prob. 63SCh. 1.2 - Prob. 64SCh. 1.3 - Prob. 1CYPCh. 1.3 - Prob. 2ACYPCh. 1.3 - Prob. 2BCYPCh. 1.3 - Prob. 2CCYPCh. 1.3 - Prob. 2DCYPCh. 1.3 - Prob. 3ACYPCh. 1.3 - Prob. 3BCYPCh. 1.3 - Prob. 4CYPCh. 1.3 - Prob. 1CYUCh. 1.3 - Prob. 2CYUCh. 1.3 - Prob. 3CYUCh. 1.3 - Prob. 4CYUCh. 1.3 - Prob. 5CYUCh. 1.3 - Prob. 6CYUCh. 1.3 - Prob. 7CYUCh. 1.3 - Prob. 8CYUCh. 1.3 - Prob. 9CYUCh. 1.3 - Prob. 10CYUCh. 1.3 - Prob. 11CYUCh. 1.3 - Prob. 12CYUCh. 1.3 - Prob. 13CYUCh. 1.3 - Prob. 14CYUCh. 1.3 - Prob. 15PPSCh. 1.3 - Prob. 16PPSCh. 1.3 - Prob. 17PPSCh. 1.3 - Prob. 18PPSCh. 1.3 - Prob. 19PPSCh. 1.3 - Prob. 20PPSCh. 1.3 - Prob. 21PPSCh. 1.3 - Prob. 22PPSCh. 1.3 - Prob. 23PPSCh. 1.3 - Prob. 24PPSCh. 1.3 - Prob. 25PPSCh. 1.3 - Prob. 26PPSCh. 1.3 - Prob. 27PPSCh. 1.3 - Prob. 28PPSCh. 1.3 - Prob. 29PPSCh. 1.3 - Prob. 30PPSCh. 1.3 - Prob. 31PPSCh. 1.3 - Prob. 32PPSCh. 1.3 - Prob. 33PPSCh. 1.3 - Prob. 34PPSCh. 1.3 - Prob. 35PPSCh. 1.3 - Prob. 36PPSCh. 1.3 - Prob. 37PPSCh. 1.3 - Prob. 38PPSCh. 1.3 - Prob. 39PPSCh. 1.3 - Prob. 40PPSCh. 1.3 - Prob. 41PPSCh. 1.3 - Prob. 42PPSCh. 1.3 - Prob. 43PPSCh. 1.3 - Prob. 44HPCh. 1.3 - Prob. 45HPCh. 1.3 - Prob. 46HPCh. 1.3 - Prob. 47HPCh. 1.3 - Prob. 48HPCh. 1.3 - Prob. 49STPCh. 1.3 - Prob. 50STPCh. 1.3 - Prob. 51STPCh. 1.3 - Prob. 52STPCh. 1.3 - Prob. 53SRCh. 1.3 - Prob. 54SRCh. 1.3 - Prob. 55SRCh. 1.3 - Prob. 56SRCh. 1.3 - Prob. 57SRCh. 1.3 - Prob. 58SRCh. 1.3 - Prob. 59SRCh. 1.3 - Prob. 60SRCh. 1.3 - Prob. 61SRCh. 1.3 - Prob. 62SRCh. 1.3 - Prob. 63SRCh. 1.3 - Prob. 64SCh. 1.3 - Prob. 65SCh. 1.3 - Prob. 66SCh. 1.3 - Prob. 67SCh. 1.3 - Prob. 68SCh. 1.3 - Prob. 69SCh. 1.3 - Prob. 70SCh. 1.3 - Prob. 71SCh. 1.4 - Prob. 1ACYPCh. 1.4 - Prob. 1BCYPCh. 1.4 - Prob. 1CCYPCh. 1.4 - Prob. 1DCYPCh. 1.4 - Prob. 2ACYPCh. 1.4 - Prob. 2BCYPCh. 1.4 - Prob. 3CYPCh. 1.4 - Prob. 4ACYPCh. 1.4 - Prob. 4BCYPCh. 1.4 - Prob. 1CYUCh. 1.4 - Prob. 2CYUCh. 1.4 - Prob. 3CYUCh. 1.4 - Prob. 4CYUCh. 1.4 - Prob. 5CYUCh. 1.4 - Prob. 6CYUCh. 1.4 - Prob. 7CYUCh. 1.4 - Prob. 8CYUCh. 1.4 - Prob. 9CYUCh. 1.4 - Prob. 10CYUCh. 1.4 - Prob. 11CYUCh. 1.4 - Prob. 12PPSCh. 1.4 - Prob. 13PPSCh. 1.4 - Prob. 14PPSCh. 1.4 - Prob. 15PPSCh. 1.4 - Prob. 16PPSCh. 1.4 - Prob. 17PPSCh. 1.4 - Prob. 18PPSCh. 1.4 - Prob. 19PPSCh. 1.4 - Prob. 20PPSCh. 1.4 - Prob. 21PPSCh. 1.4 - Prob. 22PPSCh. 1.4 - Prob. 23PPSCh. 1.4 - Prob. 24PPSCh. 1.4 - Prob. 25PPSCh. 1.4 - Prob. 26PPSCh. 1.4 - Prob. 27PPSCh. 1.4 - Prob. 28PPSCh. 1.4 - Prob. 29PPSCh. 1.4 - Prob. 30PPSCh. 1.4 - Prob. 31PPSCh. 1.4 - Prob. 32PPSCh. 1.4 - Prob. 33PPSCh. 1.4 - Prob. 34PPSCh. 1.4 - Prob. 35PPSCh. 1.4 - Prob. 36HPCh. 1.4 - Prob. 37HPCh. 1.4 - Prob. 38HPCh. 1.4 - Prob. 39HPCh. 1.4 - Prob. 40HPCh. 1.4 - Prob. 41STPCh. 1.4 - Prob. 42STPCh. 1.4 - Prob. 43STPCh. 1.4 - Prob. 44STPCh. 1.4 - Prob. 45SRCh. 1.4 - Prob. 46SRCh. 1.4 - Prob. 47SRCh. 1.4 - Prob. 48SRCh. 1.4 - Prob. 49SRCh. 1.4 - Prob. 50SRCh. 1.4 - Prob. 51SRCh. 1.4 - Prob. 52SCh. 1.4 - Prob. 53SCh. 1.4 - Prob. 54SCh. 1.4 - Prob. 55SCh. 1.4 - Prob. 56SCh. 1.4 - Prob. 57SCh. 1.5 - Prob. 1CYPCh. 1.5 - Prob. 2ACYPCh. 1.5 - Prob. 2BCYPCh. 1.5 - Prob. 1CYUCh. 1.5 - Prob. 2CYUCh. 1.5 - Prob. 3CYUCh. 1.5 - Prob. 4PPSCh. 1.5 - Prob. 5PPSCh. 1.5 - Prob. 6PPSCh. 1.5 - Prob. 7PPSCh. 1.5 - Prob. 8PPSCh. 1.5 - Prob. 9PPSCh. 1.5 - Prob. 10PPSCh. 1.5 - Prob. 11PPSCh. 1.5 - Prob. 12HPCh. 1.5 - Prob. 13HPCh. 1.5 - Prob. 14HPCh. 1.5 - Prob. 15STPCh. 1.5 - Prob. 16STPCh. 1.5 - Prob. 17STPCh. 1.5 - Prob. 18STPCh. 1.5 - Prob. 19SRCh. 1.5 - Prob. 20SRCh. 1.5 - Prob. 21SRCh. 1.5 - Prob. 22SRCh. 1.5 - Prob. 23SRCh. 1.5 - Prob. 24SRCh. 1.5 - Prob. 25SRCh. 1.5 - Prob. 26SRCh. 1.5 - Prob. 27SRCh. 1.5 - Prob. 28SRCh. 1.5 - Prob. 29SRCh. 1.5 - Prob. 30SRCh. 1.5 - Prob. 31SRCh. 1.5 - Prob. 32SCh. 1.5 - Prob. 33SCh. 1.5 - Prob. 34SCh. 1.5 - Prob. 35SCh. 1.6 - Prob. 1CYPCh. 1.6 - Prob. 2CYPCh. 1.6 - Prob. 3ACYPCh. 1.6 - Prob. 3BCYPCh. 1.6 - Prob. 3CCYPCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2PPSCh. 1.6 - Prob. 3PPSCh. 1.6 - Prob. 4PPSCh. 1.6 - Prob. 5PPSCh. 1.6 - Prob. 6PPSCh. 1.6 - Prob. 7PPSCh. 1.6 - Prob. 8PPSCh. 1.6 - Prob. 9PPSCh. 1.6 - Prob. 10PPSCh. 1.6 - Prob. 11PPSCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 16HPCh. 1.6 - Prob. 17HPCh. 1.6 - Prob. 18HPCh. 1.6 - Prob. 19HPCh. 1.6 - Prob. 20HPCh. 1.6 - Prob. 21HPCh. 1.6 - Prob. 22HPCh. 1.6 - Prob. 23STPCh. 1.6 - Prob. 24STPCh. 1.6 - Prob. 25STPCh. 1.6 - Prob. 26STPCh. 1.6 - Prob. 27SRCh. 1.6 - Prob. 28SRCh. 1.6 - Prob. 29SRCh. 1.6 - Prob. 30SRCh. 1.6 - Prob. 31SRCh. 1.6 - Prob. 32SRCh. 1.6 - Prob. 33SRCh. 1.6 - Prob. 34SCh. 1.6 - Prob. 35SCh. 1.6 - Prob. 36SCh. 1.6 - Prob. 37SCh. 1.6 - Prob. 38SCh. 1.6 - Prob. 39SCh. 1 - Prob. 1QCCh. 1 - Prob. 2QCCh. 1 - Prob. 3QCCh. 1 - Prob. 4QCCh. 1 - Prob. 5QCCh. 1 - Prob. 6QCCh. 1 - Prob. 7QCCh. 1 - Prob. 8QCCh. 1 - Prob. 9QCCh. 1 - Prob. 10QCCh. 1 - Prob. 11QCCh. 1 - Prob. 12QCCh. 1 - Prob. 13QCCh. 1 - Prob. 14QCCh. 1 - Prob. 15QCCh. 1 - Prob. 16QCCh. 1 - Prob. 17QCCh. 1 - Prob. 18QCCh. 1 - Prob. 19QCCh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 21MCQCh. 1 - Prob. 22MCQCh. 1 - Prob. 23MCQCh. 1 - Prob. 24MCQCh. 1 - Prob. 25MCQCh. 1 - Prob. 1SGRCh. 1 - Prob. 2SGRCh. 1 - Prob. 3SGRCh. 1 - Prob. 4SGRCh. 1 - Prob. 5SGRCh. 1 - Prob. 6SGRCh. 1 - Prob. 7SGRCh. 1 - Prob. 8SGRCh. 1 - Prob. 9SGRCh. 1 - Prob. 10SGRCh. 1 - Prob. 11SGRCh. 1 - Prob. 12SGRCh. 1 - Prob. 13SGRCh. 1 - Prob. 14SGRCh. 1 - Prob. 15SGRCh. 1 - Prob. 16SGRCh. 1 - Prob. 17SGRCh. 1 - Prob. 18SGRCh. 1 - Prob. 19SGRCh. 1 - Prob. 20SGRCh. 1 - Prob. 21SGRCh. 1 - Prob. 22SGRCh. 1 - Prob. 23SGRCh. 1 - Prob. 24SGRCh. 1 - Prob. 25SGRCh. 1 - Prob. 26SGRCh. 1 - Prob. 27SGRCh. 1 - Prob. 28SGRCh. 1 - Prob. 29SGRCh. 1 - Prob. 30SGRCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 12PTCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 1ECh. 1 - Prob. 2ECh. 1 - Prob. 3ECh. 1 - Prob. 4ECh. 1 - Prob. 1STPCh. 1 - Prob. 2STPCh. 1 - Prob. 3STPCh. 1 - Prob. 4STPCh. 1 - Prob. 5STPCh. 1 - Prob. 6STPCh. 1 - Prob. 7STPCh. 1 - Prob. 8STPCh. 1 - Prob. 9STPCh. 1 - Prob. 10STPCh. 1 - Prob. 11STP
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Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY