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Algebra and Trigonometry (6th Edition)

Algebra and Trigonometry (6th Edition)

Author:Robert F. Blitzer

Explanation: Given: The expression (3x+5)(4x−7). Calculation: Evaluate the given expression using...

Explanation: Given: The equation is −5+3(x+5)=2(3x−4). Calculation: Apply the distributive…

Given: {(2,6),(1,4),(2,−6)} Explanation: A function is a correspondence from a first set, called…

Explanation: Given: f(x)=(x−3)2−4 Graph: Graph of the function f(x)=(x−3)2−4 is shown below:...

Explanation: Given: The given functions: f(x)=2x,g(x)=2x−3 Calculation: Create a table of...

Contemporary Abstract Algebra

Contemporary Abstract Algebra

Author:Joseph Gallian

Cengage Learning

Given information: n=5,8,12,20 and 25 Concept Used: Two numbers are relatively prime if they have…

Given: An equilateral triangle. Calculation: Three rotations at 0, 120 and 240 gives the…

Given: Set of positive integers and operation is subtraction. Concept Used: An set G is said to…

Given information : List of group Z12,U(10), U(12), U(20) and D4 is given in the question....

Given information: (Zn,⊕n) is a group under addition modulo n. For a group G, if there exist an...

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Author:David Poole

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra And Trigonometry (11th Edition)

Author:Michael Sullivan

Consider the given equation 2−x3=8. Obtain the solution as follows. 2−2−x3=8−2 (∵Subtract by 2 on...

The given points are (0,0),(4,2). Obtain the distance between the points (0,0),(4,2) as follows....

Given: The price of a pack of 8 batteries is $6.30. The price of a pack of 16 batteries is…

Result used: Slope of a function: The slope of a function f(x)=mx+b is given by m. The…

Definition used: A polynomial function in one variable is a function of the form...

Introduction to Linear Algebra, Fifth Edition

Introduction to Linear Algebra, Fifth Edition

Author:Gilbert Strang

Wellesley-Cambridge Press

Given: The vectors [123] and [369]. Since, [369]=3[123] That is., the given vector is some scalar...

Given: Three sides of a box meet at solutions x=(x,y,z)=(2,3,4)⇒[ 1 0 0 0 1 0 0 0 1][ x y z]=[ 2…

Given information: (1) x+y=y+x(2) x+(y+z)=(x+y)+z(3) There is a unique "zero vector" such that…

Given: Let the matrix A of order 2 by 3 be A=[123246]is of rank 1, as 1ndrow is obtained by...

Given: detA=12, where A is 4×4 matrix Calculation :- Since detA=12 and we know that if A is n×n...

College Algebra (Collegiate Math)

College Algebra (Collegiate Math)

Author:Julie Miller, Donna Gerken

McGraw-Hill Education

Given Information: The distance between y and L is less than ε(epsilon). Consider the provided...

Given information: The given equation is 2x25+2y9y'=0 Calculation: Consider the given equation,...

Given information: The two provided points are, (x1,y1)=(−1,8) and (x2,y2)=(4,−2). Formula used:…

Given Information: The provided equation of the parabola is f(x)=−(x+5)2+2. Consider the…

Given Information: The function in the given graph is. Consider the provide graph, The horizontal...

College Algebra with Modeling & Visualization (6th Edition)

College Algebra with Modeling & Visualization (6th Edition)

Author:Gary K. Rockswold

Explanation:Given: The given numbers are −2,12,0,1.23,7,16 . Calculation:Natural number: These...

a) From the given table we can observe that the estimated height of a female with 12-inch…

Given: The graph of the parabola Calculation: We know that for an upward parabola the leading...

Given: The polynomial f(x)=4+x−2x2−7x3 . Calculation: To determine the degree and leading...

Given: Table of f(x) and g(x) at different value of x Calculation: (f+g)(1)=f(1)+g(1)…

Linear Algebra and Its Applications (5th Edition)

Linear Algebra and Its Applications (5th Edition)

Author:David C. Lay, Steven R. Lay, Judi J. McDonald

Explanation: Reason for the statement to be false: A matrix is equal to unique matrix only if it…

Explanation: Justification of statement: The dimension of matrix A and B are m×n . The BT has…

Use Cramers rule to compute the solutions of the systems in Exercises 16. 5. x1+x2=33x1+2x3=0x22x3=2

Consider A be a 2×2 matrix. The detA=0. Then, the matrix A have linearly dependent columns. Thus,...

Mark each statement True or False. Justify each answer. (If true, cite appropriate facts or…

Differential Equations and Linear Algebra (4th Edition)

Differential Equations and Linear Algebra (4th Edition)

Author:Stephen W. Goode, Scott A. Annin

Given: The height of boy is 2 meters. The shootings speed is 10 meters per seconds. The…

Given: The given matrix: A=[−2426−1−150], B=[−30221−301], C=[−5−631] Calculation: Consider the…

Given: The matrix A=[66−21]. Approach: By using the definition of determinants the value of…

Given: Let r,s be scalars and v is a vector quantity. Calculation: Suppose v=(v1,v2)∈ℝ5. Then,...

Given: The vectors are u=(2,3) and v=(4,−1) Approach: The angle between two non zero vectors u and…

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Elements Of Modern Algebra

Elements Of Modern Algebra

Author:Gilbert, Linda, Jimmie

Cengage Learning,

Consider the statement, “Every mapping on the nonempty set A is a relation”. Let A and B are...

Consider the statement, “The notation x=y mod n is used to indicate the unique integer x in the...

Formula used: 1) Homomorphism: Let G be a group with respect to ∗ and G' be the group with…

Formula used: If p is prime, then group G is called a p− group if and only if each of its…

Formula used: Definition of ordered integral domain: If D is an integral domain, then for each x…

College Algebra (7th Edition)

College Algebra (7th Edition)

Author:Robert F. Blitzer

Given: The expressionis (3x+5)(4x−7) . The provided expression is (3x+5)(4x−7). Simplify it as...

Given: The equation −5+3(x+5)=2(3x−4). Apply the distributive property to the provided equation:...

Given: The relation [(2,6),(1,4),(2,−6)]. The relation is said to be a function if every element…

Given: The function is f(x)=(x−3)2−4. Comparing the provided equation f(x)=(x−3)2−4 to the…

Given: The function f(x)=2x and the second function is g(x)=2x−3. Consider the function f(x)=2x…

Beginning & Intermediate Algebra (6th Edition)

Beginning & Intermediate Algebra (6th Edition)

Author:Elayn Martin-Gay

1) Concept: Step 1: Simplify and put all three equations in the form Ax+By+Cz=D, if needed. Step…

Concept: To add or subtract decimals, write the number vertically with decimal points lined up.…

1) Concept: To solve a system of two equations in x and y using matrices: Step 1. Write the...

Concept: To find the value of a second order 2×2 determinant: abcd=a×d-b×c=ad-bc To find the…

1. Concept: Step 1: Find the mean of the given data by finding the sum of the items of the given...

College Algebra (5th Edition)

College Algebra (5th Edition)

Author:Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger

1) Concept: Any ordered pair is said to be the solution for the given equation only if it…

Given: Concept: A function f is said to be increasing on an open interval I, if for all a and b…

We have to solve the given equation The given equation is 2x-1x+5=0 Principle of zero products.…

Determine the leading term, the leading coefficient, and the degree of the polynomial. Then…

Given: {(−2,5),(4,3),(0,−1),(−6,−3)} Concept: The interchange of first and second coordinates of...

College Algebra

College Algebra

Author:James Stewart, Lothar Redlin, Saleem Watson

Cengage Learning

Given information: Shellie wages are $12 an hour. Shellie’s earns the amount W after the work of…

In the Cartesian plane or coordinate plane two perpendicular lines intersect each other at origin.…

A function is a relation between a set A to set B that relates each element of set A to unique...

Calculation: The quadratic function is ax2+bx+c. The degree of the polynomial is the highest…

Given information: The exponential function f with base a. Calculation: The exponential function…

Linear Algebra with Applications (2-Download)

Linear Algebra with Applications (2-Download)

Author:Otto Bretscher

Given information: The statement is “If A is an n×n matrix and x→ is a vector in ℝn then product…

Given: “The matrix [56−65] represents a rotation combined with scaling.” Concept Used: A matrix...

Given information: The statement is “If v1→,v2→,....vn→ and w1→,w2→,....wn→ are any two bases of…

Given: The polynomials of degree less than 7 form a seven-dimensional subspace of the linear…

Given information:T is a linear transformation from ℝn to ℝn such that...

College Algebra and Trigonometry (4th Edition)

College Algebra and Trigonometry (4th Edition)

Author:J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek

Given information: Set of numbers is {4,7,−5,12,0.31¯,0,0.2,12} Calculation: Natural Numbers are…

Given information: The given equation, 5x−4=11 Concept used: To solve the equation, we isolate...

Given information: A line segment joins the points (−3,1)and (3,11) The midpoint of the line…

Given: y=(x−1)2+2 Graph : Rearrange the equation as follows y=(x−1)2+2 =x2−2x+3 Coefficient of…

Given: The given statement is: “The function f(x)=ax is exponential if a>0 .” Calculation: The...

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Author:Julie Miller, Molly O'Neill, Nancy Hyde

McGraw-Hill Education

Given Information: The fraction is 145. Consider the given fraction, 145 The numerator is 14 and…

Given Information: Person is 5'4" and weighs 160 lb. Calculation: The BMI of a person is given by...

Given Information: The point, (12,5). Graph: Interpretation: The ordered pair (12,5) indicates…

Given Information: The system of lines: x−4y=−4x+2y=8 A set of ordered pair is a solution for a...

Given Information: The area of Inner Square is (c)2, area of large outer square is (a+b)2 and,…

Essentials of College Algebra (12th Edition)

Essentials of College Algebra (12th Edition)

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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Intermediate Algebra (13th Edition)

Intermediate Algebra (13th Edition)

Author:Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

Given Information: The provided options are: (a) addition principle (b) multiplication principle…

Given Information: The provided options are, 1. X− intercept 2. Y− intercept 3. at least one 4....

Given information: The provided options are: Line Half-plane. Independent. Dependent. Consistent....

Given information: The given options are: (a) Product (b) Difference (c) Factor (d) Factorization...

Given Information: The statement, “An equality of ratios, AB=CD is called an______.” The provided...

College Algebra

College Algebra

Author:Ron Larson

Cengage Learning

Consider the provided set, 11,−14,−89,52,6,0.4 Natural numbers are those numbers which are used…

Graph: Consider the equation, y=−4x+1 To find the different solution point, find the values of y…

Calculation: Consider the equation, y=−12x+1 The slope intercept form of the equation of line is...

Graph: Consider the general quadratic function in standard form. fx=ax−h2+k, a≠0 Here, a decides…

Calculation: Consider the function fx=3xx+10. To find the domain, make the denominator zero and…

Algebra and Trigonometry with Analytic Geometry, Classic Edition

Algebra and Trigonometry with Analytic Geometry, Classic Edition

Author:Earl Swokowski, Jeffery A. Cole

Cengage Learning

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing…

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing…

Author:Michael Sullivan, Michael Sullivan III

Given: ( −3 ) 2 ; − 3 2 Formula used: If a is a real number and n is a positive integer, then the...

Find the value of x as follows. 2−x3=8−x3=8−2 [Collect like terms]x=6(−3) [Simplify]x=−18 Use…

Definition used: “Slope: Let P=(x1,y1) and Q=(x2,y2) be two distinct points. If x1≠x2, the slope…

For a relation to be a function, there should not be any ordered pairs with same first element…

Formula used: A linear function is a function of the form f(x)=mx+b, the graph of a linear…

Intermediate Algebra (7th Edition)

Intermediate Algebra (7th Edition)

Author:Elayn Martin-Gay

Given: The given set is {x|x is a natural number greater than 100}. Calculation: The given set...

Given: The given expression is 3x−y, and its values are x=15, y=4. Calculation: Substitute 15 for…

The given statement is 3∈{x|x is a natural number}. The given set is the collection of all…

Concept: Power rule for exponents: If m and n are integers and a is non zero real number, then...

The given phrase is, “eight times a number”. An algebraic expression is a mathematical phrase…

College Algebra & Trigonometry - Standalone book

College Algebra & Trigonometry - Standalone book

Author:Julie Miller, Donna Gerken

McGraw-Hill Education

Given information: The expression is (64)12 . Consider the expression (64)12 . Now simplify to…

Given information: The given is below statement: (2x−5)(3x+1) Calculation: The given is below...

Given information: The given function is y=1 . Calculations: To obtain the graph of the given...

Given information: The function is p(x)=x3+3x2−6x−8 . Concept used: Let ax3+bx2+cx+d=0 be a...

Given: The function f(x)=3 Formula Used: The domain of a function is the set of input or argument...

Intermediate Algebra

Intermediate Algebra

Author:Julie Miller, Molly O'Neill, Nancy Hyde

McGraw-Hill Education

The term "natural number" is defined as the set of positive integers 1, 2, 3, ... And the set of...

The main goals of taking this course can be summarized as below: (1) Linear equations and...

(a) In mathematics, a well-defined collection of elements is called a Set.(b) The statements…

a. The opposite numbers are the numbers which differ in sign and are at an equal distance from 0....

Given: (a) Given the expression 8x+cd−3y+90 , the terms 8x,cd and−3y are variable terms, whereas…

Graphical Approach To College Algebra

Graphical Approach To College Algebra

Author:HORNSBY, John, Lial, Margaret L., Rockswold, Gary K.

Pearson Education, Inc.,

Given: The coordinates of points A and B are (−1,16) and (5,−8) respectively. Formula used: The...

It is given that the range of f(x)=x2 is same as the range of f(x)=|x|. The graphs of both the...

Definition used: “The imaginary unit i is defined as the principal square root of –1 in complex...

Given: The polynomial function of odd degree has the set of real of real numbers as its domain....

Given: The function is y=−1x+6. Concept used: Shifting of graphs: “Shifting is a rigid…

Topology

Author:Munkres, James R.

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Algebra and Trigonometry: Graphs and Models (6th Edition)

Algebra and Trigonometry: Graphs and Models (6th Edition)

Author:Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

Theorem used: In any right triangle, if a and b are the legs and c is the length of the…

Given: The statement “The x-intercept of the line that passes through (−23,32) and the origin is...

Given: The given statement is “f(c) is a relative maximum if (c,f(c)) is the highest point in…

Definitions used: The number i: The number i is defined such that i=−1 and i2=−1. To express…

The statement is “The y intercepts of the graph of the function P(x)=5−2x3 is (5,0)”. Note that…

College Algebra: Graphs and Models (6th Edition)

College Algebra: Graphs and Models (6th Edition)

Author:Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

Theorem used: In any right triangle, if a and b are the legs and c is the length of the…

Given: The statement “The x-intercept of the line that passes through (−23,32) and the origin is...

Given: The given statement is “f(c) is a relative maximum if (c,f(c)) is the highest point in…

Definitions used: The number i: The number i is defined such that i=−1 and i2=−1. To express…

The statement is “The y intercepts of the graph of the function P(x)=5−2x3 is (5,0)”. Note that…

Intermediate Algebra (8th Edition)

Intermediate Algebra (8th Edition)

Author:John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Explanation: Integers are those numbers that include zero, negative numbers, and positive…

Explanation: Calculation: Consider the expression, 7x−3=−5x−18 Combine like terms,...

Explanation: Given: The equation of the straight line is y=−32x+5. Graph: Since, y=−32x+5 Put…

Explanation: Given: The set of equations is: x+2y=8x−y=2 Calculation: The graphs for the…

Explanation: Given: (x2−3x+5)+(−2x2−7x+8) Calculation: Consider the following expression....

College Algebra

College Algebra

Author:Ratti, J. S., Mcwaters, Marcus, Skrzypek, Lesław

Given information: Set of numbers is {4,7,−5,12,0.31¯,0,0.2,12} Calculation: Natural Numbers are…

Given information: The given equation, 5x−4=11 Concept used: To solve the equation, we isolate...

Given information: A line segment joins the points (−3,1)and (3,11) The midpoint of the line…

Given: y=(x−1)2+2 Graph : Rearrange the equation as follows y=(x−1)2+2 =x2−2x+3 Coefficient of…

Given: The given statement is: “The function f(x)=ax is exponential if a>0 .” Calculation: The...

College Algebra (MindTap Course List)

College Algebra (MindTap Course List)

Author:R. David Gustafson, Jeff Hughes

Cengage Learning

Approach: 1) A set is a collection of objects. 2) The numbers that we use for counting are called...

Natural Numbers: Natural numbers also called counting numbers are the whole numbers greater than...

Given: f(x)=32x−5 Approach Used: A function f is a correspondence between a set of input values x...

The given equation is 5x-3y=15. To find the x-intercept, let y=0. 5x-30=15 Simplifying, 5x=15...

1) Approach: The graph of a quadratic function of the form f(x)=ax2+bx+c (a≠0) is a parabola with...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Author:Bruce Crauder, Benny Evans, Alan Noell

Cengage Learning

Approach: 1. Simplify the terms in the numerator. 2. Multiply the terms in the denominator. 3....

Approach: The value of f(a), if the function f(x) is given, can be calculated by substituting a…

Approach: The graph of quadratic functions is a parabola. A quadratic expression has the form...

Calculation: Given, The slope of the secant line is the same as the average rate of change of…

Given: The values lnA=3, lnB=4, and lnC=5. The expression is lnABC. Approach: Following laws of...

College Algebra (6th Edition)

College Algebra (6th Edition)

Author:Mark Dugopolski

A real number consist all the rational and irrational numbers. It may be represented in the form…

Given: 3x−2=0 Calculation: Consider the equation, 3x−2=0 Add 2 to both the sides, 3x−2+2=0+23x=2...

Given: The provided relation is {(0,0),(1,1),(−2,−2)}. Calculation: Domain of a relation is the…

Consider the given function, f(x)=3x2−2x+1. Use the method of completing the square,...

Given: The expression 26. Calculation: Consider the expression 26. The exponent of the base 2 is…

College Algebra (10th Edition)

College Algebra (10th Edition)

Author:Michael Sullivan

Given: ( −3 ) 2 ; − 3 2 Formula used: If a is a real number and n is a positive integer, then the...

Given: If y and x are two quantities, then y is directly proportional to x if there is a nonzero...

Given: y = x 2 − 8 P = ( x, y ) Calculation: a. Distance d as a function of x Let, P = ( x, y )…

Given: −3x − 2 < 7 Calculation: The given expression is −3x − 2 < 7 . Adding 2 on both…

Given: 4 x 5 − 3x² + 5x − 2 Calculation: 4 x 5 − 3x² + 5x − 2 The given function is a polynomial...

College Algebra (12th Edition)

College Algebra (12th Edition)

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Author:Ron Larson

Cengage Learning

Given: The provided equation is 2x−y2=4. Definition used: Linear Equation in n variables: A…

Given information: [21005−4]−3[53−60−25] Calculation: If A and B are the matrices of the same…

Given: The equation is 4y−x=10. Approach: The equation of the form y=ax+b is linear in variable…

Given: The vector u is (1,−2,−3). The vector v is (3,1,0). Approach: The vector u+v is the sum of…

Given: The vectors are as follows. v=(1,−2)w=(2,−5) Approach: Add individual elements of the two...

College Algebra

College Algebra

Author:Jay Abramson

For the following exercises, perform the given operations. 1.(532)26

For the following exercises, find the x-intercept and the y-intercept without graphing. 1. 4x3y=12

For the following exercises, determine whether the relation is a function. {(a,b),(c,d),(e,d)}

Determine whether the algebraic equation is linear. 2x+3y=7

For the following exercises, write the quadratic function in standard form. Then, give the vertex…

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th…

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th…

Author:Ronald J. Harshbarger, Lisa S. Yocco

The set of all natural numbers is given by the infinite set N={1,2,3,4,5,6,⋯}. Let A be the set…

Property used: Division Property: “Dividing both sides of an equation by the same nonzero number...

Property used: Zero and negative exponents. For a≠0 and b≠0, 1. a0=1 2. a−1=1a 3. a−n=1an 4....

Reciprocal function is a special linear function. The domain of a function is defined as the set…

Formula used: Product property: For real number a and integers m and n, the product property is...

College Algebra Essentials (5th Edition)

College Algebra Essentials (5th Edition)

Author:Blitzer, Robert F.

Method used: FOIL method to multiply binomials: (ax+b)(cx+d)=ax⋅cx+ax⋅d+b⋅cx+b⋅d. In words, the...

The given equation is −5+3(x+5)=2(3x−4). Simplify the algebraic expression on each side of the...

Given: The relation is {(2,6),(1,4),(2,−6)}. Definition used: Relation: “A relation is any set of...

Definition used: The domain of a function is a set of real values of the independent variable…

Consider the given functions f(x)=2x and g(x)=2x−3. Use online graphing calculator to draw the...

Intermediate Algebra

Intermediate Algebra

Author:Jerome E. Kaufmann, Karen L. Schwitters

Cengage Learning

Given x+4=6 for 6=x+4. From the definition of the property, If a = b then b = a. Then the given...

Natural numbers: A natural number is a counting number of the set {1,2,3,4....}. The set of…

1. The terms in an algebraic expression which have the same variables or literal factors are…

Approach: The numerical expressions can be simplified by the help of basic algebra. The operation...

If mn is a rational number, where n is a negative integer greater than 1, and b is a real number...

Algebra and Trigonometry (MindTap Course List)

Algebra and Trigonometry (MindTap Course List)

Author:James Stewart, Lothar Redlin, Saleem Watson

Cengage Learning

Calculation: Given: Coordinates are, (2,4), (−1,3), (3,−1), (0,0), (5,0), (0,−1) have to plot…

Calculation: The speed of the car when the man drives from home to work=50mi/h. The speed of the…

The cost of the photocopier is $5800. The maintenance cost per month is $25. When the photocopier…

Approach: A mathematical model is a mathematical representation of an equation or process....

The model we want is a function that gives the area of the rectangular building. For the…

Intermediate Algebra For College Students (10th Edition)

Intermediate Algebra For College Students (10th Edition)

Author:Allen R. Angel, Dennis Runde

Given Information: The provided set A={x|x is a natural number between 3 and 10}. The elements of...

Given information: The provided term is, 9a2b6 Consider the provided term 9a2b6, The degree or…

Given Information: The set of ordered pairs: A(5,3),B(0,−3),C(5,12),D(−4,2),E(−6,−1),F(−2,0)…

Given Information: The provided system of linear equations is x−4y=−22x−8y=1. Formula used: The...

Given information: Expression is 3x2+9. A polynomial is a finite sum of monomial. Now, while...

Elementary & Intermediate Algebra

Elementary & Intermediate Algebra

Author:Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Procedure used: “Step 1: Find the least common denominator of the fractions. Step 2: Rewrite each...

Definition used: Solution of a linear equation: The value(s) of the variable that satisfies the...

Procedure used: Step 1: Substitute the values of x and y in first equation and verify whether the...

Procedure used: Step 1: Substitute the values of x and y in first equation and verify whether the...

Definition used: “A monomial or sum of monomials is known as a polynomial. The degree of a...

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for…

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for…

Author:Lee Johnson, Dean Riess, Jimmy Arnold

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Introductory Algebra for College Students (7th Edition)

Introductory Algebra for College Students (7th Edition)

Author:Robert F. Blitzer

Given: The expression 2+10x Calculation: In order to find the value of the expression 2+10x at x=6…

Given: The equation x2=12−x4. Calculation: Here we have been given the equation as x2=12−x4. Now…

Given: The graph of the line. Concept used: To find the x -intercept of a given line on a graph,…

Given: 3x+2y=62x−y=4 Calculation: In order to solve a pair of linear equations graphically, we...

Given: The algebraic expression (11x2y3)(−5x2y3), the objective is to determine the expression…

Prealgebra

Author:Martin-Gay, K. Elayn

Given: Given number is 82,426. Concept: To write the number in whole, write the number in each...

Consider the following whole number, 396,418. The following table represent the place value of…

1) Concept: 2) Calculation: Given, 308, 063, 557 In words we write the 308, 063, 557 Three…

Writing a Whole Number in Words: To write whole number in words, write the number in each period...

Consider the following number, 72. The following table represent the place value of the whole…

College Algebra: Concepts Through Functions (4th Edition)

College Algebra: Concepts Through Functions (4th Edition)

Author:Michael Sullivan, Michael Sullivan III

Result used: Completing the square x2+bx: “Identify the coefficient of the first-degree term....

Definition used: “The set of all inputs for a relation is called domain and set of all outputs of…

Definition used: Linear Function: A linear function is a function of the form f(x)=mx+b. The…

Definition used: A polynomial function in one variable is a function of the form...

Definition used: Given two functions f and g, the composite function, denoted by f∘g (read as “f...

Introductory and Intermediate Algebra for College Students (5th Edition)

Introductory and Intermediate Algebra for College Students (5th Edition)

Author:Robert F. Blitzer

Given: The expression 2+10x Calculation: In order to find the value of the expression 2+10x at x=6…

Given: The equation x2=12−x4 . Calculation: Here we have been given the equation as x2=12−x4 .…

Given: The graph of the line. Concept used: To find the x -intercept of a given line on a graph,…

Given: 3x+2y=62x−y=4 Calculation: In order to solve a pair of linear equations graphically, we...

Given: The algebraic expression (11x2y3)(−5x2y3), the objective is to determine the expression…

Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))

Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))

Author:Steven J. Leon

Given:The matrix has been given A=rand(4)B=rand(4) Concept Used: Given, A=rand(4)B=rand(4)…

Given:The matrix has been given A=round(10×rand(5))B=round(20×rand(5))−10 Concept Used: Given,...

Given information:The matrixes are given U=round(rand(4)×20)−10V=round(10×rand(4)) Given,...

Given:The information has been given W=triu(ones(4))x=[1:4]'F={ w 1 , w 2 , w 3 , w 4...

Given: x=[0:4,4,−4,1,1]; y=ones(9,1) Calculation: We set the matrices x and y and compute ‖x‖ ,…

Beginning and Intermediate Algebra (6th Edition)

Beginning and Intermediate Algebra (6th Edition)

Author:Margaret L. Lial, John Hornsby, Terry McGinnis

Given Information: The decimal number is 367.9412. Consider the decimal, 367.9412 Rewrite the...

Given Information: The incomplete statement,” A exponent is”. Provided options to complete the...

Given Information: The definition for the term “solution set” and the options are, A. Make an...

Given Information: For writing a linear equation in two variables, the options are: A. Ax+By<C…

Given Information: The statement “A polynomial is an algebraic expression made up of”. And the...

Algebra for College Students

Algebra for College Students

Author:Jerome E. Kaufmann, Karen L. Schwitters

Cengage Learning

Elementary Algebra For College Students (10th Edition)

Elementary Algebra For College Students (10th Edition)

Author:Allen R. Angel, Dennis Runde

Given information: Apart of studying in class, outside class hours are also needed for this…

Given: The given expression is, 5x−9y−12+4y−7x+6. Calculation: The given equation is,...

Given information: Six times the weight, w. Calculation: Given statement that six times the…

Given: The given expression is y11⋅y20. Concept Used: Exponent properties: Product property:...

To check the factoring problem we just need to multiply the obtained factor of the given…

Intermediate Algebra for College Students (7th Edition)

Intermediate Algebra for College Students (7th Edition)

Author:Robert F. Blitzer

Explanation: Let x represents the number. Twice of the number. 2x Ten less than twice a number....

Given: The given relation is: {(3,10),(4,10),(5,10)} Explanation Consider the following relation,...

Given: An ordered pair is (4,2) and system of equation is 2x−5y=−23x+4y=4 Explanation: To check...

Given: The inequality −6x+3≤15. Calculation: Consider the inequality: −6x+3≤15 Subtract 3 from…

Given: The polynomial is (−5x3+7x2−x+2). Calculation: Consider each term of the polynomial...

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Elementary Algebra: Concepts and Applications (10th Edition)

Elementary Algebra: Concepts and Applications (10th Edition)

Author:Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Given Information: The phrase is ‘Twice the difference of a number and 11’. The options are...

Given Information: A basketball costs $50, a jacket costs $80 and a television costs $200. The...

Given Information: There is an equation is given as y=x+4. The given options to choose the graphs...

Given Information: The provided option is shown below, A. 9−4x2, B. x2−(x−6)2, C. (x+3)(x−3), D....

Given information: The degree measures of the angles of a triangle are three consecutive…

College Algebra with Modeling & Visualization (5th Edition)

College Algebra with Modeling & Visualization (5th Edition)

Author:Gary K. Rockswold

Given: The polynomial f(x)=4+x−2x2−7x3 . Calculation: To determine the degree and leading...

Given: Table of f(x) and g(x) at different value of x Calculation: (f+g)(1)=f(1)+g(1)…

Explanation:Given: The given numbers are −2,12,0,1.23,7,16 . Calculation:Natural number: These...

a) From the given table we can observe that the estimated height of a female with 12-inch…

Given: The graph of the parabola Calculation: We know that for an upward parabola the leading...

Beginning Algebra: Early Graphing (4th Edition)

Beginning Algebra: Early Graphing (4th Edition)

Author:John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Explanation: Given: The expression is 3648. Calculation: The given expression is, 3648 Write the...

Explanation: Given: The given expression is −6+(−2). Calculation: The expression is addition of…

Explanation: Given: The given expression is 3x+2x=−35. Calculation: Distributive property for any...

Explanation: Plot the first point 2 on x− axis −3 and on y− axis and label it as A. Then, plot −1…

Explanation: Given: The equations are, 2x+3y=0 −x+3y=9 Calculation: The equations are, 2x+3y=0 ……...

Elementary Algebra

Elementary Algebra

Author:Lynn Marecek, MaryAnne Anthony-Smith

OpenStax - Rice University

In the following exercises find the place value of each digit. 913. 26,915 (a) 1 (b) 2 (c) 9 (d) 5…

In the following exercises, determine whether each number is a solution to the equation. 512.…

In the following exercises, reflect on your approach to word problems. 339. How has your attitude…

In the following exercises, plot each point in a rectangular coordinate system. 556. (a) (1,5) (b)…

In the following exercises, determine if the following points are solutions to the given system of…

College Algebra Essentials

College Algebra Essentials

Author:Julie Miller

Given: The set is A={6,0,−8,1.45¯,9,−23,3π}. Explanation: (a) N represents the set of natural...

Explanation: Given: The equation, 3x2−4+42x−7=23 Formula used: (x2−a2)=(x+a)(x−a) Calculation:...

Explanation: Given: The function y=−3f(2x) and the graph of y=f(x) as shown below: Graph: The…

Explanation: Given: The equation of the function is y=1. Graph: Use Ti-83 calculator as shown…

Explanation: It is known that if f(x)=a(x−h)2+k (a≠0), the vertex of the parabola is the point...

PREALGEBRA

Author:OpenStax

In the following exercises, determine which of the following are (a) counting numbers (b) whole…

In the following exercises, translate from algebra to English. 3.8

In the following exercises, locate and label the integer on the number line.

In the following exercises, name the fraction of each figure that is shaded.

In the following exercises, name each decimal. 0.8

Intermediate Algebra

Intermediate Algebra

Author:Lynn Marecek

OpenStax College

Use the divisibility tests to determine whether 180 is divisible by 2, by 3, by 5, by 6, and by 10.

In the following exercises, determine whether each number is a solution to the equation. 496.…

In the following exercises, plot each point in a rectangular coordinate system. 391. (a) (1,5) (b)…

In the following exercises, determine if the following points are solutions to the given system of…

In the following exercises, determine the type of polynomial. 342. 16x240x25

Elementary Linear Algebra: Applications Version

Elementary Linear Algebra: Applications Version

Author:Howard Anton, Chris Rorres, Anton Kaul

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

Author:Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Given Information: The phrase is ‘Twice the difference of a number and 11’. The options are...

Given Information: A basketball costs $50, a jacket costs $80 and a television costs $200. The...

Given Information: There is an equation is given as y=x+4. The given options to choose the graphs...

Given Information: The provided option is shown below, A. 9−4x2, B. x2−(x−6)2, C. (x+3)(x−3), D....

Given information: The degree measures of the angles of a triangle are three consecutive…

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MyLab Math with Pearson eText -- Standalone Access Card -- for Prealgebra (6th Edition)

MyLab Math with Pearson eText -- Standalone Access Card -- for Prealgebra (6th Edition)

Author:Margaret L. Lial, Diana Hestwood

Algebra and Trigonometry

Algebra and Trigonometry

Author:Robert F. Blitzer

1. combination of numbers, variables, and operation symbols is called an algebraic______.

Explanation: Given: The expression (3x+5)(4x−7). Calculation: Evaluate the given expression using...

Explanation: Given: The equation is −5+3(x+5)=2(3x−4). Calculation: Apply the distributive…

Given: {(2,6),(1,4),(2,−6)} Explanation: A function is a correspondence from a first set, called…

Explanation: Given: f(x)=(x−3)2−4 Graph: Graph of the function f(x)=(x−3)2−4 is shown below:...

College Algebra Essentials

College Algebra Essentials

Author:Robert F. Blitzer

Method used: FOIL method to multiply binomials: (ax+b)(cx+d)=ax⋅cx+ax⋅d+b⋅cx+b⋅d. In words, the...

The given equation is −5+3(x+5)=2(3x−4). Simplify the algebraic expression on each side of the...

Given: The relation is {(2,6),(1,4),(2,−6)}. Definition used: Relation: “A relation is any set of...

Definition used: The domain of a function is a set of real values of the independent variable…

Consider the given functions f(x)=2x and g(x)=2x−3. Use online graphing calculator to draw the...

Essentials of College Algebra (11th Edition)

Essentials of College Algebra (11th Edition)

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Concept: A finite set is one that has a limited number of elements. The process of counting its...

Concept: 1) The set is a collection of objects. The objects that belong to the sets are their...

1) Concept: Solution for a linear equation in one variable is the value of unknown in the…

1) Concept: Solving an expression is to find the value of unknown in the expression, which on...

Given: The point (−1,3) lies in quadrant III of the rectangular coordinate system. Calculation:…

Intermediate Algebra (12th Edition)

Intermediate Algebra (12th Edition)

Author:Marvin L. Bittinger

Given Information: The provided options are: (a) associative, (b) base, (c) commutative, (d)...

Given Information: The provided options are: (a) addition principle (b) multiplication principle…

Given Information: The provided options are, 1. X− intercept 2. Y− intercept 3. at least one 4....

Given information: The provided options are: Line Half-plane. Independent. Dependent. Consistent....

Given information: The given options are: (a) Product (b) Difference (c) Factor (d) Factorization...

EBK ALGEBRA FOUNDATIONS

EBK ALGEBRA FOUNDATIONS

Author:Martin-Gay

Given: 42 63+ 89_ Concept Used: Rule of addition of whole numbers: to add whole numbers, we add…

Given: The record low temperature in New Mexico is 50 degrees Fahrenheit below zero. The highest...

Given information: The given value is 7x−5y+14 . Concept used: If the given value has equal sign...

Given: Shaded area Concept Used: A fraction of shaded part is ( number of shaded parts)( number…

Given information: An expression is given as, 1.6+0.97 . Calculation: Zeros can be placed after…

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