Finding zeros of a quadratic function
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The document provides examples of finding the zeros of quadratic functions by factorizing and setting each factor equal to 0. It then lists 5 additional quadratic functions and assigns the reader to find their zeros.
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This document summarizes several laws related to students and education in the Philippines. It discusses laws that established compulsory elementary education, regulated tuition increases and medical inspections in private schools, provided state scholarships for gifted students, and prohibited certain collections from public school students. It also describes the presidential decree that implemented a national college entrance exam to regulate admissions to degree programs.
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The document discusses guidelines for designing school buildings and facilities to promote natural ventilation and minimize the need for active cooling systems. It recommends orienting buildings along an east-west axis, adding wide overhanging eaves, keeping buildings narrow, providing adequate fenestration, and planting trees along sides of buildings at a sufficient distance. Specific metrics are outlined for maximum building deviation from east-west, overhang length, building width, fenestration ratio, and tree distance.
10 powerful words
1. The document provides 10 powerful words to live by: positivity, patience, courage, love, truth, confession, appreciation, responsibility, growth, and persistence. It encourages focusing on gratitude, hope, and choosing to think positively.
2. Patience is emphasized, noting that with time and patience the universe changes things gradually. The reader is reassured that just because something isn't happening now doesn't mean it won't.
3. Courage involves daring to jump and taking uncomfortable risks, promising that something great will come of it. Love is about focusing on what makes you the best version of yourself and allowing your light to shine for others.
Maintaining discipline
This document outlines steps for conducting an effective disciplinary action and reasons for legally firing an employee. It recommends addressing problems immediately and documenting only facts. The disciplinary process involves verbal warnings, written warnings, suspension, and finally termination. Reasons for firing include non-performance, absenteeism, falsifying information, violence, substance abuse, and illegal acts. Disciplinary actions other than dismissal include transfer, demotion, suspension without pay, or fines.
Introduction to sociological foundations
This document provides an introduction to sociological foundations of education. It discusses key concepts such as society, socialization, stratification, status, and social mobility. Society is defined as a group of individuals who interact and share common ideas, attitudes, and norms. Socialization is the process by which individuals learn the culture of their society. Stratification refers to the system by which a society ranks individuals based on factors like income, education, and lifestyle. Status describes a person's position in a group, and can be ascribed at birth or achieved through efforts. Social mobility involves movement between different statuses or social classes.
Reporter Motivation
This short story discusses the importance of friendship and how sharing positivity can positively impact others. It emphasizes that friends help each other feel important, valued, and less sad by sharing smiles, emails, and finding ways to thank each other. The moral is about appreciating friends and passing on messages that make others feel good.
Financing education
This document discusses financing education at the institutional level by analyzing internal and external competitive forces that affect educational institutions. It examines how external forces like global demand for graduates impact enrollment trends. It also looks at internal forces such as faculty quality, facilities, and research capabilities. Porter's Five Forces model is applied, analyzing rivalry among institutions, potential for new entrants, power of suppliers/employees, and threat of substitutes. Various analyses like external factor analysis and competitive profile matrix are presented to evaluate competitiveness based on these forces both internally and externally. In summary, competitive forces and factors heavily influence the financial operations and viability of educational institutions.
Report anti sexual harassment
This document defines and prohibits sexual harassment in work, education, and training environments. It declares all forms of sexual harassment in these environments unlawful. Sexual harassment is committed when sexual favors are made a condition of employment, education, or training opportunities. Employers and heads of offices or institutions are responsible for preventing sexual harassment and addressing incidents. Victims can also pursue independent legal action for damages. Individuals who violate these laws face fines or imprisonment.
Integers
The document discusses operations with integers such as addition, subtraction, multiplication, and division. It explains that the minus sign can indicate a negative number, the opposite of an expression, or subtraction. It provides examples of using counters or blocks to model integer addition and subtraction by putting on and taking off quantities. Patterns are noticed, such as opposites adding to zero. Multiplication of integers results in positive or negative numbers depending on the signs of the factors. Division is related to the inverse operation of multiplication.
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Finding zeros of a quadratic function
- 5. f(x) = x2+3x+2 x2+3x+2 = 0 (x+2) (x+1) = 0 x+2=0 x+1=0 x= -2 x= -1 Therefore, the zeros are -2 and -1
- 8. f(x) = x2-5x+6 x2-5x+6 = 0 (x-3) (x-2) = 0 x-3 =0 x-2=0 x= 3 x= 2 Therefore, the zeros are 3 and 2
- 11. f(x) = x2-2x-3 x2-2x-3 = 0 (x-3) (x+1) = 0 x-3 =0 x+1=0 x= 3 x= -1 Therefore, the solutions are 3 and -1
- 13. Find the zeros of the ff. Quadratic Functions. 1. F(x) = x2 - 5x – 24 2. F(x) = x2 – 2x -8 3. F(x) = x2 + x – 2 4. F(x) = 3x2 + 9x – 12 5. F(x) = 2x2 + 15x - 8
- 14. Assignment: Find the zeros of the ff. Quadratic Functions. 1. F(x) = x2 – 3x - 4 2. F(x) = x2 +5x - 6 3. F(x) = 6x2 -9x - 15 4. F(x) = x2 - 100 5. F(x) = 81x2 – 90x + 25