Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 4.7, Problem 18WE

To determine

To solve: the function and identify all double zeroes

Expert Solution & Answer

Answer to Problem 18WE

The value of 5s−1=6s2 is s={12,13}

Explanation of Solution

Given information: The function is 5s−1=6s2

Calculation:

5s−1=6s26s2−5s+1=06s2−3s−2s+1=03s(2s−1)−1(2s−1)=0(2s−1)(3s−1)=0

The given equation already has 0 as one side, and the other side is already factored

Simplify set each factor equal to 0

(2s−1)(3s−1)=02s−1=02s=1s=123s−1=03s=1s=13s={12,13}

Chapter 4.7, Problem 17WE

Chapter 4.7, Problem 19WE

Chapter 4 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY

Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY