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Solutions for Chapter 0.5: Rational Expressions

Full solutions for Algebra and Trigonometry, | 3rd Edition

ISBN: 9780840068132

Solutions for Chapter 0.5: Rational Expressions

Solutions for Chapter 0.5
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ISBN: 9780840068132

Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. This expansive textbook survival guide covers the following chapters and their solutions. Since 106 problems in chapter 0.5: Rational Expressions have been answered, more than 44918 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Chapter 0.5: Rational Expressions includes 106 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Constant term

See Polynomial function

• Differentiable at x = a

ƒ'(a) exists

• Explanatory variable

A variable that affects a response variable.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Identity function

The function ƒ(x) = x.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

The graph in three dimensions of a seconddegree equation in three variables.

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Re-expression of data

A transformation of a data set.

• Real zeros

Zeros of a function that are real numbers.

• Second quartile

See Quartile.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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