Current technology project
•Download as PPT, PDF•
0 likes•179 views
The document contains a series of multiple choice questions about geometric sequences, exponential functions, solving quadratic equations, and graphing quadratic functions. The questions cover topics like finding the equation that corresponds to a graph, finding the coordinates of the vertex of a quadratic equation, solving quadratic equations by taking the square root of each side, comparing the slopes of linear functions, finding the y-intercept of a function, evaluating a function given an x-value, identifying the next term in a geometric sequence, finding the geometric mean of a sequence, and finding the axis of symmetry and solutions of a quadratic equation.
Report
Share
Report
Share
![[object Object],[object Object],[object Object],[object Object],[object Object],100](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Recommended
Mathematical Operations Reasoning Questions
The document contains 12 math word problems where the symbols like +, -, x, / are used with different meanings than their usual meanings. For each problem, the correct meaning of the symbols is determined and the problem is solved to find the right answer. The document tests the ability to solve math problems where the symbols are used in an unconventional way by providing the correct symbolic interpretations.
1.4 complex numbers t
This document discusses complex numbers. It provides examples of solving quadratic equations using complex numbers, multiplying and dividing complex numbers, and working with powers of i. It also includes exercises involving combining, expanding, dividing, and simplifying complex number expressions. Key points covered include using i=√-1, FOIL method for multiplication, conjugate multiplication, and the cyclic pattern of powers of i.
Questions on Verbal & Non Verbal Reasoning
This document contains 7 slides with math problems and their solutions. The problems involve finding missing numbers in sequences, determining patterns in matrices, and performing calculations. For example, one problem finds the missing number in the sequence 72, 15, 31, ?, 127 by noting each term is the previous multiplied by 2 and added 1. The solutions are provided and range from simple arithmetic to more complex algebraic steps.
Non verbal reasoning
The document provides examples of non-verbal reasoning questions and their solutions. It includes number series, letter series, logical reasoning, and mathdoku puzzles. For the number series questions, the correct answer is choosing the option that continues the same pattern to fill in the missing term. The letter and logic series involve analyzing the relationship between letters or numbers to determine the missing element. The mathdoku puzzles require logically placing the numbers 1 to 5 in the grid so that each row and column uses each number, and the sums or products of the bold outlined groups equal the given hints.
Ncert solutions for class 7 maths chapter 1 integers exercise 1.4
The document provides solutions to 7 questions from an NCERT Class 7 math exercise on integers. Some key details:
- Question 1 involves evaluating integer expressions by dividing integers.
- Question 2 shows that a ÷ (b + c) is not always equal to (a ÷ b) + (a ÷ c) through counter examples.
- Question 3 fills in missing values to make integer division statements true.
- Question 4 gives examples of integer pairs where the first number divided by the second equals -3.
- Question 5 calculates the time when temperature reaches a given value, given an initial temperature and rate of change.
- Questions 6 and 7 involve word problems on test scoring and elevator descent time
Irasional
The document discusses irrational inequalities of one variable. It explains that an irrational inequality contains a variable under the radical sign. It provides examples of different forms of irrational inequalities and the steps to determine their solution sets, which involve squaring both sides and finding the intersections of the resulting conditions. The key points are that the radical terms must be greater than or equal to zero and the inequality sign must be preserved after squaring.
Section 3.5 inequalities involving quadratic functions
This document contains information about solving inequalities involving quadratic functions. It provides examples of solving the inequalities 5 4 0x x+ + > , 6x x≤ + , and 2 8 9 0x x− + − < and graphing the solution sets. For the inequality 5 4 0x x+ + > , the solution set is the region where the function ( ) 5 4f x x x+ + is greater than 0, which is the interval (4,1). For 6x x≤ + , the solution set is the region where the function ( ) 6f x x x− − is less than or equal to 0, which is the interval [2,3]. For 2 8 9
College algebra in context 5th edition harshbarger solutions manual
The document discusses solutions to exercises from a College Algebra textbook. It provides the steps to solve 16 different math equations involving variables like x and t. The equations use concepts like linear models, properties of equality, and combining like terms. Solutions are found by applying division, multiplication, addition or subtraction properties, or graphing the equations to find the intersection point of the lines.
Recommended
Mathematical Operations Reasoning Questions
The document contains 12 math word problems where the symbols like +, -, x, / are used with different meanings than their usual meanings. For each problem, the correct meaning of the symbols is determined and the problem is solved to find the right answer. The document tests the ability to solve math problems where the symbols are used in an unconventional way by providing the correct symbolic interpretations.
1.4 complex numbers t
This document discusses complex numbers. It provides examples of solving quadratic equations using complex numbers, multiplying and dividing complex numbers, and working with powers of i. It also includes exercises involving combining, expanding, dividing, and simplifying complex number expressions. Key points covered include using i=√-1, FOIL method for multiplication, conjugate multiplication, and the cyclic pattern of powers of i.
Questions on Verbal & Non Verbal Reasoning
This document contains 7 slides with math problems and their solutions. The problems involve finding missing numbers in sequences, determining patterns in matrices, and performing calculations. For example, one problem finds the missing number in the sequence 72, 15, 31, ?, 127 by noting each term is the previous multiplied by 2 and added 1. The solutions are provided and range from simple arithmetic to more complex algebraic steps.
Non verbal reasoning
The document provides examples of non-verbal reasoning questions and their solutions. It includes number series, letter series, logical reasoning, and mathdoku puzzles. For the number series questions, the correct answer is choosing the option that continues the same pattern to fill in the missing term. The letter and logic series involve analyzing the relationship between letters or numbers to determine the missing element. The mathdoku puzzles require logically placing the numbers 1 to 5 in the grid so that each row and column uses each number, and the sums or products of the bold outlined groups equal the given hints.
Ncert solutions for class 7 maths chapter 1 integers exercise 1.4
The document provides solutions to 7 questions from an NCERT Class 7 math exercise on integers. Some key details:
- Question 1 involves evaluating integer expressions by dividing integers.
- Question 2 shows that a ÷ (b + c) is not always equal to (a ÷ b) + (a ÷ c) through counter examples.
- Question 3 fills in missing values to make integer division statements true.
- Question 4 gives examples of integer pairs where the first number divided by the second equals -3.
- Question 5 calculates the time when temperature reaches a given value, given an initial temperature and rate of change.
- Questions 6 and 7 involve word problems on test scoring and elevator descent time
Irasional
The document discusses irrational inequalities of one variable. It explains that an irrational inequality contains a variable under the radical sign. It provides examples of different forms of irrational inequalities and the steps to determine their solution sets, which involve squaring both sides and finding the intersections of the resulting conditions. The key points are that the radical terms must be greater than or equal to zero and the inequality sign must be preserved after squaring.
Section 3.5 inequalities involving quadratic functions
This document contains information about solving inequalities involving quadratic functions. It provides examples of solving the inequalities 5 4 0x x+ + > , 6x x≤ + , and 2 8 9 0x x− + − < and graphing the solution sets. For the inequality 5 4 0x x+ + > , the solution set is the region where the function ( ) 5 4f x x x+ + is greater than 0, which is the interval (4,1). For 6x x≤ + , the solution set is the region where the function ( ) 6f x x x− − is less than or equal to 0, which is the interval [2,3]. For 2 8 9
College algebra in context 5th edition harshbarger solutions manual
The document discusses solutions to exercises from a College Algebra textbook. It provides the steps to solve 16 different math equations involving variables like x and t. The equations use concepts like linear models, properties of equality, and combining like terms. Solutions are found by applying division, multiplication, addition or subtraction properties, or graphing the equations to find the intersection point of the lines.
16.2 Solving by Factoring
This document provides an overview of solving quadratic equations by factoring. It begins with the standard form of a quadratic equation and explains the zero factor property. Examples are provided to demonstrate factoring quadratic equations and setting each factor equal to zero to solve. The steps for solving a quadratic equation by factoring are outlined. Additional examples demonstrate solving real world application problems involving quadratic equations.
Tugas 2
The document contains examples of solving quadratic equations by factorizing. It provides 5 examples in the first section of factorizing quadratic equations into their roots. The second section contains 2 examples of solving quadratic equations by completing the square. The third section provides 3 examples of solving quadratic equations using the quadratic formula. The final example solves a quadratic equation for an unknown parameter p.
Quinary base five
The document summarizes conversions between decimal and quinary (base 5) number systems. It provides examples of adding, subtracting, multiplying, and dividing numbers in quinary notation. For each operation, it shows the step-by-step work and explains how to "carry" or borrow in base 5. Common addition, subtraction, multiplication, and division facts are also presented in quinary as examples.
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4), Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, sequences, definitions of sequences, sequence as a function,
Proj 8 Tanya Graded
....... did I actually do that? .. my 16+ daughter would smoke me on that though.. ...........When I had reached that point in the class, me and one other girl were two of about four students left in that course.. we both got an A. =)
1 Bloque 1 Multiplicaciones De Otra Forma
The document provides examples of multiplying multi-digit numbers using different methods like diagonals, lines, numeric associations, and binary conversion. It shows the step-by-step work and results for multiplying numbers like 142 x 23, 264 x 46, and converting 245 to binary.
1 Bloque 1 Multiplicaciones de otra forma
The document provides examples of multiplying multi-digit numbers using different methods like diagonals, lines, numeric associations, and binary conversion. It shows the step-by-step work and results for multiplying numbers like 142 x 23, 264 x 46, and converting 245 to binary.
Absolute Value
The document provides an overview of absolute value functions and how to solve absolute value equations and inequalities. It defines absolute value, discusses evaluating absolute value expressions, and solves absolute value equations by isolating the absolute value. It also explains how to solve absolute value inequalities by considering whether the absolute value is less than, greater than, or equal to the right side of the inequality and interpreting the solutions. Examples of each type of problem are worked out step-by-step.
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5, Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, Arithmetic progression, definition of arithmetic progression, terms and common difference of an A.P., In an Arithmetic progression, conditions for three numbers to be in A.P.,
Algebra
The document provides 5 algebra word problems and their step-by-step solutions. It begins with a disclaimer that the document was prepared by trainees and is not an official document. It then presents 5 multi-step algebra word problems, showing the work and reasoning for arriving at each solution. The document concludes by providing contact information and a thank you.
Foundation c2 exam august 2012 sols
1. The document provides solutions to various mathematical problems including: solving simultaneous equations, differentiation, determining stationary points, trigonometry involving a flagpole, probability, integration, and standard form.
2. A chi-squared test is performed to determine if there is a difference between students' views of maths and English. The null hypothesis is that there is no difference, and it is not rejected based on the test statistic being less than the critical value.
3. Various formulae are provided for statistical measures like mean, variance, z-score, t-score, as well as trigonometric, geometric formulas and tables of critical values for z, t and chi-squared tests.
Algebra exam
The document provides the answers and working for an algebra assessment. It includes 6 multiple choice questions worth 1-3 marks each on simplifying expressions, expanding expressions, solving equations, solving inequalities, and solving word problems. It also includes a question worth 4 marks requiring trial and error to solve an equation between 2 and 3 to 1 decimal place. The total marks for the assessment are 35. The student's score is shown as M1-M6 for each question, with a total score of 35/35.
Factoring Special Products in Difference of Squares
The document provides examples of factoring quadratic expressions of the form a^2 +/- b^2 into the form (a +/- b)(a -/+ b). It demonstrates factoring several quadratic expressions using this method, including expressions with coefficients other than 1. It also introduces a formula for factoring expressions of the form a^2 + 2ab + b^2 and applies this formula to one example. Finally, it factors one expression where the middle term is negative by distributing the negative sign appropriately.
2f. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.6)
Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.6), Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, series, Sum to n terms of an A.P.,
Factorising quadratic expressions 1
This document discusses factorizing quadratic expressions. It provides examples of expanding and factorizing expressions of the form (x + a)(x + b). A pattern is observed where the constant term is the product of a and b, and the coefficient of x is the sum of a and b. Students are asked to factorize additional quadratic expressions using this pattern.
Absolute Value Notes
Notes for absolute value equations and inequalities missed because of a field trip. Please let me know if you find a mistake!
2g. Pedagogy of mathematics part II (numbers and sequence - ex 2.7)
pedagogy of mathematics part ii (numbers and sequence - ex 2.7), numbers and sequences, Std X samacheer Kalvi, Geometric progression, definition of geometric progression, general form of geometric progression, general term of geometric progression,
Mathematics Form 1-Chapter 3 Squares, Square Roots, Cubes and Cube Roots KBSM...
1. Squares are the product of a number multiplied by itself. Squares of fractions, decimals, and negative numbers can be calculated using this property.
2. Perfect squares are numbers that are the result of squaring another number. Prime factorization can help determine if a number is a perfect square.
3. The document provides examples of calculating squares and identifying perfect squares, and includes practice exercises for working with squares.
Online Retailers
This document discusses online retailers and the technologies they use, including e-commerce, online marketing, and e-CRM. It provides Dell as an example of an online retailer and outlines the benefits these technologies provide, such as global reach, low costs, and increased customer management. Specifically, e-commerce allows retailers to operate globally at any time, online marketing allows cost-effective worldwide promotion, and e-CRM enhances customer relationships.
Proctar And Gamble-Marketing Capabilities, Case Analysis
The above presentation is submitted by Avikal Parashari under an internship programme with Prof. Sameer Mathur, IIM-Lucknow.
20537240 Parle G Marketing Strategy
This document summarizes a marketing presentation about Parle G biscuits in India. It provides background on the biscuit industry and Parle's market leadership. It discusses Parle G using Porter's 5 forces model and analyzes Parle G's strengths, weaknesses, opportunities, and threats. Key points are that Parle G has 35% market share but faces challenges from competitors increasing prices. Suggestions include keeping Parle G's price stable, targeting rural and young consumers, and associating the brand with government initiatives.
Parle product..ppt BY AMIT SINGH
Parle Products is a private company founded in 1929 in Mumbai, India. It is one of the largest biscuit manufacturers in India, with its flagship brand being Parle-G biscuits, which has a market share of over 30%. The company was originally founded to produce confectionery but began manufacturing biscuits in 1939. It has since expanded to 10 manufacturing plants across India and annual revenues of over Rs. 5,000 crores. Parle-G biscuits are the highest selling biscuit brand in the world.
More Related Content
What's hot
16.2 Solving by Factoring
This document provides an overview of solving quadratic equations by factoring. It begins with the standard form of a quadratic equation and explains the zero factor property. Examples are provided to demonstrate factoring quadratic equations and setting each factor equal to zero to solve. The steps for solving a quadratic equation by factoring are outlined. Additional examples demonstrate solving real world application problems involving quadratic equations.
Tugas 2
The document contains examples of solving quadratic equations by factorizing. It provides 5 examples in the first section of factorizing quadratic equations into their roots. The second section contains 2 examples of solving quadratic equations by completing the square. The third section provides 3 examples of solving quadratic equations using the quadratic formula. The final example solves a quadratic equation for an unknown parameter p.
Quinary base five
The document summarizes conversions between decimal and quinary (base 5) number systems. It provides examples of adding, subtracting, multiplying, and dividing numbers in quinary notation. For each operation, it shows the step-by-step work and explains how to "carry" or borrow in base 5. Common addition, subtraction, multiplication, and division facts are also presented in quinary as examples.
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4), Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, sequences, definitions of sequences, sequence as a function,
Proj 8 Tanya Graded
....... did I actually do that? .. my 16+ daughter would smoke me on that though.. ...........When I had reached that point in the class, me and one other girl were two of about four students left in that course.. we both got an A. =)
1 Bloque 1 Multiplicaciones De Otra Forma
The document provides examples of multiplying multi-digit numbers using different methods like diagonals, lines, numeric associations, and binary conversion. It shows the step-by-step work and results for multiplying numbers like 142 x 23, 264 x 46, and converting 245 to binary.
1 Bloque 1 Multiplicaciones de otra forma
The document provides examples of multiplying multi-digit numbers using different methods like diagonals, lines, numeric associations, and binary conversion. It shows the step-by-step work and results for multiplying numbers like 142 x 23, 264 x 46, and converting 245 to binary.
Absolute Value
The document provides an overview of absolute value functions and how to solve absolute value equations and inequalities. It defines absolute value, discusses evaluating absolute value expressions, and solves absolute value equations by isolating the absolute value. It also explains how to solve absolute value inequalities by considering whether the absolute value is less than, greater than, or equal to the right side of the inequality and interpreting the solutions. Examples of each type of problem are worked out step-by-step.
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5, Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, Arithmetic progression, definition of arithmetic progression, terms and common difference of an A.P., In an Arithmetic progression, conditions for three numbers to be in A.P.,
Algebra
The document provides 5 algebra word problems and their step-by-step solutions. It begins with a disclaimer that the document was prepared by trainees and is not an official document. It then presents 5 multi-step algebra word problems, showing the work and reasoning for arriving at each solution. The document concludes by providing contact information and a thank you.
Foundation c2 exam august 2012 sols
1. The document provides solutions to various mathematical problems including: solving simultaneous equations, differentiation, determining stationary points, trigonometry involving a flagpole, probability, integration, and standard form.
2. A chi-squared test is performed to determine if there is a difference between students' views of maths and English. The null hypothesis is that there is no difference, and it is not rejected based on the test statistic being less than the critical value.
3. Various formulae are provided for statistical measures like mean, variance, z-score, t-score, as well as trigonometric, geometric formulas and tables of critical values for z, t and chi-squared tests.
Algebra exam
The document provides the answers and working for an algebra assessment. It includes 6 multiple choice questions worth 1-3 marks each on simplifying expressions, expanding expressions, solving equations, solving inequalities, and solving word problems. It also includes a question worth 4 marks requiring trial and error to solve an equation between 2 and 3 to 1 decimal place. The total marks for the assessment are 35. The student's score is shown as M1-M6 for each question, with a total score of 35/35.
Factoring Special Products in Difference of Squares
The document provides examples of factoring quadratic expressions of the form a^2 +/- b^2 into the form (a +/- b)(a -/+ b). It demonstrates factoring several quadratic expressions using this method, including expressions with coefficients other than 1. It also introduces a formula for factoring expressions of the form a^2 + 2ab + b^2 and applies this formula to one example. Finally, it factors one expression where the middle term is negative by distributing the negative sign appropriately.
2f. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.6)
Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.6), Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, series, Sum to n terms of an A.P.,
Factorising quadratic expressions 1
This document discusses factorizing quadratic expressions. It provides examples of expanding and factorizing expressions of the form (x + a)(x + b). A pattern is observed where the constant term is the product of a and b, and the coefficient of x is the sum of a and b. Students are asked to factorize additional quadratic expressions using this pattern.
Absolute Value Notes
Notes for absolute value equations and inequalities missed because of a field trip. Please let me know if you find a mistake!
2g. Pedagogy of mathematics part II (numbers and sequence - ex 2.7)
pedagogy of mathematics part ii (numbers and sequence - ex 2.7), numbers and sequences, Std X samacheer Kalvi, Geometric progression, definition of geometric progression, general form of geometric progression, general term of geometric progression,
Mathematics Form 1-Chapter 3 Squares, Square Roots, Cubes and Cube Roots KBSM...
1. Squares are the product of a number multiplied by itself. Squares of fractions, decimals, and negative numbers can be calculated using this property.
2. Perfect squares are numbers that are the result of squaring another number. Prime factorization can help determine if a number is a perfect square.
3. The document provides examples of calculating squares and identifying perfect squares, and includes practice exercises for working with squares.
What's hot (18)
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
Factoring Special Products in Difference of Squares
Factoring Special Products in Difference of Squares
2f. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.6)
2f. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.6)
2g. Pedagogy of mathematics part II (numbers and sequence - ex 2.7)
2g. Pedagogy of mathematics part II (numbers and sequence - ex 2.7)
Mathematics Form 1-Chapter 3 Squares, Square Roots, Cubes and Cube Roots KBSM...
Mathematics Form 1-Chapter 3 Squares, Square Roots, Cubes and Cube Roots KBSM...
Viewers also liked
Online Retailers
This document discusses online retailers and the technologies they use, including e-commerce, online marketing, and e-CRM. It provides Dell as an example of an online retailer and outlines the benefits these technologies provide, such as global reach, low costs, and increased customer management. Specifically, e-commerce allows retailers to operate globally at any time, online marketing allows cost-effective worldwide promotion, and e-CRM enhances customer relationships.
Proctar And Gamble-Marketing Capabilities, Case Analysis
The above presentation is submitted by Avikal Parashari under an internship programme with Prof. Sameer Mathur, IIM-Lucknow.
20537240 Parle G Marketing Strategy
This document summarizes a marketing presentation about Parle G biscuits in India. It provides background on the biscuit industry and Parle's market leadership. It discusses Parle G using Porter's 5 forces model and analyzes Parle G's strengths, weaknesses, opportunities, and threats. Key points are that Parle G has 35% market share but faces challenges from competitors increasing prices. Suggestions include keeping Parle G's price stable, targeting rural and young consumers, and associating the brand with government initiatives.
Parle product..ppt BY AMIT SINGH
Parle Products is a private company founded in 1929 in Mumbai, India. It is one of the largest biscuit manufacturers in India, with its flagship brand being Parle-G biscuits, which has a market share of over 30%. The company was originally founded to produce confectionery but began manufacturing biscuits in 1939. It has since expanded to 10 manufacturing plants across India and annual revenues of over Rs. 5,000 crores. Parle-G biscuits are the highest selling biscuit brand in the world.
Porter’s five forces
The document discusses Porter's five forces model as it applies to the apparel industry. It analyzes the competitive intensity and profitability of the industry by looking at the barriers to entry, power of suppliers and buyers, threat of substitutes, and rivalry among existing competitors. The summary is:
[1] The apparel industry has high barriers to entry due to economies of scale, significant capital requirements, and intense competition from established brands.
[2] Suppliers have bargaining power when materials are unique or undifferentiated, while buyers wield power in bulk purchases or when many supplier options exist.
[3] Substitute brands pose a threat if switching costs are low based on quality or status.
Porter's 5 Force Model
The document discusses Porter's Five Forces model for analyzing industry competition and attractiveness. It describes each of the five competitive forces - threat of new entrants, bargaining power of suppliers and buyers, threat of substitutes, and rivalry among existing competitors. It provides examples of how each force can impact an industry using Coca-Cola's industry as an example. The document also discusses competitive advantages firms can achieve through cost leadership or differentiation strategies and notes some strengths and limitations of Porter's Five Forces model.
Porter's Five Forces
Porter's Five Forces is a model for industry analysis that examines five competitive forces that shape every industry. The five forces are: the threat of new entrants, the threat of substitutes, the bargaining power of suppliers, the bargaining power of customers, and the intensity of rivalry among existing competitors. The model helps understand the attractiveness of an industry and the sources of competitive advantage within it.
Viewers also liked (7)
Proctar And Gamble-Marketing Capabilities, Case Analysis
Proctar And Gamble-Marketing Capabilities, Case Analysis
Similar to Current technology project
Basic algebra for entrepreneurs
This document provides a summary of basic algebra concepts for entrepreneurs and social entrepreneurship participants. It includes example algebra problems with step-by-step solutions on topics like equations, factors, exponents, and scientific notation. It also provides links to download additional educational resources on algebra, statistics, reasoning, and other relevant subjects.
Basic algebra for entrepreneurs
This document provides a summary of basic algebra concepts for entrepreneurs and social entrepreneurship participants. It includes example algebra problems with step-by-step solutions on topics like equations, factors, exponents, and scientific notation. It also provides links to download additional educational resources on algebra, statistics, reasoning, and other relevant subjects.
Basic algebra for entrepreneurs
This material is a part of PGPSE / CSE study material for the students of PGPSE / CSE students. PGPSE is a free online programme for all those who want to be social entrepreneurs / entrepreneurs
LESSON 2Question 1 of 200.0 5.0 PointsUse Gaussian eliminatio.docx
This document contains 20 multiple choice questions assessing knowledge of linear algebra and conic sections. The questions cover topics such as: solving systems of equations using matrices and Gaussian elimination; finding inverses and products of matrices; graphing ellipses, parabolas, circles and hyperbolas from equations in standard form; completing the square to convert equations to standard forms; using properties of conic sections such as foci and vertices. The document is divided into 4 lessons, with 5 questions in each lesson.
1 of 402.5 PointsUse Cramer’s Rule to solve the following syst.docx
1 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
x + 2y = 3
3x - 4y = 4
A. {(3, 1/5)}
B. {(5, 1/3)}
C. {(1, 1/2)}
D. {(2, 1/2)}
2 of 40
2.5 Points
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x + y - z = -2
2x - y + z = 5
-x + 2y + 2z = 1
A. {(0, -1, -2)}
B. {(2, 0, 2)}
C. {(1, -1, 2)}
D. {(4, -1, 3)}
3 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
2x = 3y + 2
5x = 51 - 4y
A. {(8, 2)}
B. {(3, -4)}
C. {(2, 5)}
D. {(7, 4)}
4 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
4x - 5y = 17
2x + 3y = 3
A. {(3, -1)}
B. {(2, -1)}
C. {(3, -7)}
D. {(2, 0)}
5 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
4x - 5y - 6z = -1
x - 2y - 5z = -12
2x - y = 7
A. {(2, -3, 4)}
B. {(5, -7, 4)}
C. {(3, -3, 3)}
D. {(1, -3, 5)}
6 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
3x - 4y = 4
2x + 2y = 12
A. {(3, 1)}
B. {(4, 2)}
C. {(5, 1)}
D. {(2, 1)}
Reset Selection
7 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
x + y + z = 0
2x - y + z = -1
-x + 3y - z = -8
A. {(-1, -3, 7)}
B. {(-6, -2, 4)}
C. {(-5, -2, 7)}
D. {(-4, -1, 7)}
8 of 40
2.5 Points
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
3x1 + 5x2 - 8x3 + 5x4 = -8
x1 + 2x2 - 3x3 + x4 = -7
2x1 + 3x2 - 7x3 + 3x4 = -11
4x1 + 8x2 - 10x3+ 7x4 = -10
A. {(1, -5, 3, 4)}
B. {(2, -1, 3, 5)}
C. {(1, 2, 3, 3)}
D. {(2, -2, 3, 4)}
9 of 40
2.5 Points
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x + y + z = 4
x - y - z = 0
x - y + z = 2
A. {(3, 1, 0)}
B. {(2, 1, 1)}
C. {(4, 2, 1)}
D. {(2, 1, 0)}
10 of 40
2.5 Points
Solve the system using the inverse that is given for the coefficient matrix.
2x + 6y + 6z = 8
2x + 7y + 6z =10
2x + 7y + 7z = 9
The inverse of:
2
2
2
6
7
7
6
6
7
is
7/2
-1
0
0
1
-1
-3
0
1
A. {(1, 2, -1)}
B. {(2, 1, -1)}
C. {(1, 2, 0)}
D. {(1, 3, -1)}
Reset Selection
11 of 40
2.5 Points
Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
2w + x - y = 3
w - 3x + 2y = -4
3w + x - 3y + z = 1
w + 2x - 4y - z = -2
A. {(1, 3, 2, 1)}
B. {(1, 4, 3, -1)}
C. {(1, 5, 1, 1)}
D. {(-1, 2, -2, 1)}
12 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
x + y = 7
x - y = 3
A. {(7, 2)}
B. {(8, -2)}
C. {(5, 2)}
D. {(9, 3)}
13 of 40
2.5 Points
Use Gaussian elimination to find the complete solution to each system.
x1 + 4x2 + 3x3 - 6x4 = 5
x1 + 3x2 + x3 - 4x4 = 3
2x1 + 8x2 + 7x3 - 5x4 = 11
2x1 + 5x2 - 6x4 = 4
A. {(-47t + 4, 12t, 7t + 1, t)}
B. {(-37t + 2, 16t, -7t + 1, t)}
...
Indices
This document provides examples and exercises on working with indices. It introduces index notation for exponents, such as 52 = 5 × 5. The key rules for manipulating indices are presented: when multiplying terms with the same base, add the indices; when dividing terms, subtract the indices; and when raising a term to a power, multiply the indices. Negative indices produce fractional results, with the negative index representing the denominator. Worked examples demonstrate simplifying expressions using these index rules.
1.3 solving equations t
1. The document discusses various methods for solving different types of equations including: polynomial equations using factoring, quadratic equations using the quadratic formula, rational equations by clearing denominators, radical equations by squaring both sides, and absolute value equations geometrically.
2. Specific examples are provided to demonstrate how to solve equations involving polynomials, rationals, radicals, powers, and absolute values. Steps include factoring, using the quadratic formula, clearing denominators, isolating and squaring radicals, and raising both sides to appropriate powers.
3. The document also discusses finding zeros of rational functions and domains by determining where the numerator or denominator is equal to zero.
Alg 1 day 58 6.1 6.3 review
The document provides a series of math problems involving graphing lines, finding slopes, writing equations of lines, and identifying intercepts of lines. The strategies involved matching graphs with their equations, using slope formulas, putting equations into standard form, and solving systems of equations.
Find the slope-intercept form of the equation of the line that pas.docx
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line.
A.
y=7x+7
B.
y=7x-4
C.
y=7x+7
D.
y=-4x-4
E.
y=7x-7
5 points
QUESTION 2
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.
(-6,6), m=-2
A.
y=6x+6
B.
y=6x-6
C.
y=-6x-6
D.
y=-2x-6
E.
y=-2x+6
5 points
QUESTION 3
Determine whether the lines are parallel, perpendicular, or neither.
A.
Parallel
B.
Perpendicular
C.
Neither
5 points
QUESTION 4
Evaluate the function ƒ(x) = 6x - 5 at ƒ(1)
A.
2
B.
1
C.
-1
D.
0
E.
3
5 points
QUESTION 5
A.
8
B.
25
C.
9
D.
-25
E.
8
5 points
QUESTION 6
Does the table describe a function?
A.
no
B.
yes
5 points
QUESTION 7
A.
-h - 8, h≠0
B.
-h - 6, h≠0
C.
-h - 5, h≠0
D.
-h - 9, h≠0
E.
-h - 7, h≠0
5 points
QUESTION 8
Find all real values of x such that ƒ(x) = 0.
ƒ(x) = 42 - 6x
A.
7
B.
5
C.
9
D.
6
E.
8
5 points
QUESTION 9
Find all real values of x such that ƒ(x) = 0
A.
5/4
B.
1
C.
9/8
D.
7/8
E.
11/8
5 points
QUESTION 10
Find the domain of the function.
A.
All real numbers t except t≠0
B.
Negative real numbers t
C.
All real numbers t such that t > 0
D.
Non-negative real numbers t
E.
All real numbers t such that t<0
5 points
QUESTION 11
Find the average rate of change of the function from x1=0 to x2=3
ƒ(x) = 7x + 13
A.
The average rate of change from x1=0 to x2=3 is -7
B.
The average rate of change from x1=0 to x2=3 is 7
C.
The average rate of change from x1=0 to x2=3 is -13
D.
The average rate of change from x1=0 to x2=3 is 13
E.
The average rate of change from x1=0 to x2=3 is 19
5 points
QUESTION 12
Find the zeroes of the function algebraically.
ƒ(x) = 2x2 - 3x - 20
A.
-5/2, 4
B.
-5/2, -4
C.
-2/5, 4
D.
5/2, -4
E.
5/2, 4
5 points
QUESTION 13
Find (ƒ+g)(x)
ƒ(x) = x+3, g(x) = x - 3
A.
2x
B.
3x
C.
-3x
D.
-2x
E.
2x+6
5 points
QUESTION 14
Find (ƒ-g)(x)
ƒ(x) = x + 6, g(x) = x - 6
A.
2x - 12
B.
12
C.
2x - 6
D.
2x + 12
E.
2x
5 points
QUESTION 15
Find (ƒg)(x)
ƒ(x) = x2, g(x) = 7x - 6
A.
7x3 + 6x2
B.
7x3 - 6x2
C.
7x2 - 6x3
D.
7x2 + 6x3
E.
7x - 6x2
5 points
QUESTION 16
Evaluate the indicated function for ƒ(x) = x2 + 3, g(x) = x - 5
(ƒ + g)(6)
A.
42
B.
-40
C.
34
D.
44
E.
40
5 points
QUESTION 17
find ƒ ∘ g
ƒ(x) = x2, g(x) = x - 5
A.
x2
B.
(x-5)2
C.
(x+5)2
D.
x2-5
E.
x2+5
5 points
QUESTION 18
Find the slope and y-intercept (if possible) of the equation of the line. Sketch the line.
y = 7x + 5
A.
m = 7
y-intercept (0,5)
B.
m = -7
y-intercept: (0,5)
C.
m=5
y-intercept: (0,5)
D.
m = -5
y-intercept: (0,5)
E.
m is undefined
y-intercept: (0,5)
5 points
QUESTION 19
Plot the points and find the slope of the line passing through the pair of points
(0,6), (4,0)
A.
m = 3/4
B.
m = -3/2
C.
m = -3/2
D.
m = -2/3
E.
m = 3/2
5 points
QUESTION 20
Plot the points and find the lope of th ...
2010 assessment review_homework_1-4-done
The document provides an assessment review with multiple choice questions about math concepts like algebra, geometry, and coordinate planes. It includes 15 questions testing skills like simplifying expressions, solving equations, factoring polynomials, and graphing lines. The questions are formatted with explanations of steps required to arrive at the answers.
MATHS - Linear equation in two variable (Class - X) Maharashtra Board
MATHS - Linear equation in two variable
(Class - X)
Maharashtra Board
Equations/Expressions
Word Problem
1h. Pedagogy of Mathematics (Part II) - Set language Activities and exercise
1h. Pedagogy of Mathematics (Part II) - Set language Activities and exerciseDr. I. Uma Maheswari Maheswari
Pedagogy of Mathematics (Part II) - Set language Activities and exercise, Set Language, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., PedagogyAlgebra Revision.ppt
This document provides an overview of topics covered in intermediate algebra revision including: collecting like terms, multiplying terms, indices, expanding single and double brackets, substitution, solving equations, finding nth terms of sequences, simultaneous equations, inequalities, factorizing common factors and quadratics, solving quadratic equations, rearranging formulas, and graphing curves and lines. The document contains examples and practice problems for each topic.
7 1solve By Graphing
This document introduces different methods for solving systems of linear equations: graphing, substitution, and elimination. It provides examples of solving systems by graphing them on a coordinate plane and finding the point of intersection. It also gives examples of converting equations between standard and slope-intercept form and using substitution and elimination to solve systems algebraically.
1.3 solving equations t
The document provides examples and explanations for solving different types of equations, including:
1) Polynomial equations through factoring or the quadratic formula.
2) Rational equations by clearing denominators.
3) Radical equations by squaring both sides to remove radicals.
4) Absolute value equations by recognizing that |x-c|=r implies x=c±r.
The document also discusses solving power equations, finding zeros and domains of functions, and using properties of absolute values.
Intermediate Algebra 7th Edition Tobey Solutions Manual
This document contains solutions to exercises from an intermediate algebra textbook chapter on equations and inequalities in two variables and functions. It provides worked out solutions showing the step-by-step process for solving various types of problems involving linear equations, finding slopes of lines, parallel and perpendicular lines, and word problems involving rates of change. The document demonstrates how to graph linear equations by finding intercepts and plotting points.
New stack
This document provides an outline of topics in algebra including: indices, expanding single and double brackets, substitution, solving equations, solving equations from angle problems, finding the nth term of sequences, simultaneous equations, inequalities, factorizing using common factors, quadratics, grouping and the difference of two squares. It also includes examples and explanations for each topic.
Chapter 2
This document provides an overview of quadratic equations and inequalities. It defines quadratic equations as equations of the form ax2 + bx + c = 0, where a, b, and c are real number constants and a ≠ 0. Examples of quadratic equations are provided. Methods for solving quadratic equations are discussed, including factoring, completing the square, and the quadratic formula. Properties of inequalities are outlined. The chapter also covers solving polynomial and rational inequalities, as well as equations and inequalities involving absolute value. Practice problems are included at the end.
Stacks image 1721_36
This document provides a review of various algebra topics including: indices, expanding single and double brackets, substitution, solving equations, solving equations from angle problems, finding the nth term of sequences, simultaneous equations, inequalities, factorizing using common factors, quadratics, grouping and the difference of two squares. It also includes examples to practice each topic.
Study Material for competitive exams - Verbal & Non Verbal Reasoning (Mathema...
Some study material for Verbal & NonVerbal Reasoning on Mathematics Operation that can help in your competitive exams
Similar to Current technology project (20)
LESSON 2Question 1 of 200.0 5.0 PointsUse Gaussian eliminatio.docx
LESSON 2Question 1 of 200.0 5.0 PointsUse Gaussian eliminatio.docx
1 of 402.5 PointsUse Cramer’s Rule to solve the following syst.docx
1 of 402.5 PointsUse Cramer’s Rule to solve the following syst.docx
Find the slope-intercept form of the equation of the line that pas.docx
Find the slope-intercept form of the equation of the line that pas.docx
MATHS - Linear equation in two variable (Class - X) Maharashtra Board
MATHS - Linear equation in two variable (Class - X) Maharashtra Board
1h. Pedagogy of Mathematics (Part II) - Set language Activities and exercise
1h. Pedagogy of Mathematics (Part II) - Set language Activities and exercise
Intermediate Algebra 7th Edition Tobey Solutions Manual
Intermediate Algebra 7th Edition Tobey Solutions Manual
Study Material for competitive exams - Verbal & Non Verbal Reasoning (Mathema...
Study Material for competitive exams - Verbal & Non Verbal Reasoning (Mathema...
Current technology project
- 1. Unit 10 Jeopardy Geometric Sequences Exponential Functions Solving Quadratic Equations Graphing Quadratic Functions 400 400 400 400 300 300 300 300 200 200 200 200 100 100 100 100