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# Solutions for Chapter 10: SYSTEMS OF EQUATIONS AND INEQUALITIES

## Full solutions for Precalculus: Mathematics for Calculus | 6th Edition

ISBN: 9780840068071

Solutions for Chapter 10: SYSTEMS OF EQUATIONS AND INEQUALITIES

Solutions for Chapter 10
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##### ISBN: 9780840068071

Summary of Chapter 10: SYSTEMS OF EQUATIONS AND INEQUALITIES

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10: SYSTEMS OF EQUATIONS AND INEQUALITIES includes 112 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus, edition: 6. Precalculus: Mathematics for Calculus was written by and is associated to the ISBN: 9780840068071. Since 112 problems in chapter 10: SYSTEMS OF EQUATIONS AND INEQUALITIES have been answered, more than 42637 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Conversion factor

A ratio equal to 1, used for unit conversion

• Cosecant

The function y = csc x

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Geometric series

A series whose terms form a geometric sequence.

• Inverse tangent function

The function y = tan-1 x

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Logarithmic form

An equation written with logarithms instead of exponents

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Negative linear correlation

See Linear correlation.

• Normal distribution

A distribution of data shaped like the normal curve.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Vertex of a cone

See Right circular cone.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.