Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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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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Chapter 3.5, Problem 53HP
To determine

To find: The horizontal translation to be made in f(x)=mx+b so that f ( x ) will produce the same line as g(x)=mx+b+k

Expert Solution & Answer
Check Mark

Answer to Problem 53HP

The horizontal translation to be made is k / m.

Explanation of Solution

Given information: f(x)=mx+b and g(x)=mx+b+k which is formed by vertically translating f ( x ) by k , a positive constant.

Let the horizontal translation be h , where h is a positive constant

Then since the horizontal translation in x will give the same line as g ( x ), therefore

  f(x+h)=g(x)m(x+h)+b=mx+b+kmx+mh+b=mx+b+kby comparing both the sides we getmh=kh=km

Hence the horizontal translation to be made is k / m.

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Chapter 3.5, Problem 52HP
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Chapter 3.5, Problem 54HP

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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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
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