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

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
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Chapter 3.1, Problem 5CYU
To determine

Find the X and y intercepts from the graph and describes the meaning of the intercepts.

Expert Solution & Answer
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Answer to Problem 5CYU

The y − Intercept is − 4. This means the initial temperature is − 4 deg F.

The x − Intercept is 25. This means after 25 minutes the temperature rises to 0 deg F.

Explanation of Solution

Given:

    Algebra 1, Chapter 3.1, Problem 5CYU Find the x – and y – intercepts of the graph of the linear equation.

    Describe what the intercepts mean.

Concept Used:

The  x -intercepts are where the graph crosses the  x -axis, and the  y -intercepts are where the graph crosses the  y -axis.

Then, algebraically,

  • an  x -intercept is a point on the graph where  y  is zero, and
  • a  y -intercept is a point on the graph where  x  is zero.

More specifically,

  • an  x -intercept is a point in the equation where the  y -value is zero, and
  • a  y -intercept is a point in the equation where the  x -value is zero.

Calculation:

Find the x − intercept, look for the point where the line crosses the x − axis.

In the graph there is a point (25, 0 ) where the line crosses the X − axis,

Find the y − intercept, look for the point where the line crosses the y − axis.

In the graph there is a point ( 0, − 4 ) where the line starts .

The x − Intercept is 25 and the y − Intercept is − 4.

The y − Intercept is − 4. This means the initial temperature is − 4 deg F.

The x − Intercept is 25. This means after 25 minutes the temperature rises to 0 deg F.

Thus, the y − Intercept is − 4. This means the initial temperature is − 4 deg F and the x − Intercept is 25. This means after 25 minutes the temperature rises to 0 deg F.

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Chapter 3.1, Problem 4CYU
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Chapter 3.1, Problem 6CYU

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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