the given quadratic polynomial f(x)= 5x2- 7x + 1‚ find the value 1/a + 1/b 8. Find the zeroes of the polynomial x2– 3 and verify the relationship between the zeroes and the Coefficients 9. Find the remainder when p(x)= x3-6x2+2x-4 when divided by 1 - 2x. 10. Find the remainder when x51+51 is divided by (x+1). 11. Find all the integral zeros of x3-3x2- 2x + 6 12. Obtain all zeros of 3x4+ 6x3- 2x2- 10x - 5‚ if two of its zeros are √5/√3 and - √5/√3 13. If (x - 2) and [x – ½ ] are the factors
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Unit 7 Final Project Part 1 One concept that I have chosen is percentages. A percent is a fraction that has a denominator of 100. Finding the percent of a number‚ and finding the missing percent could be very useful in the profession that I have chosen. The profession that I would like to pursue is accounting. Using percentages is used in many ways in accounting. One way is to do a trend analysis. A trend analysis calculates the percentage change for one account over a period of time of two
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3 1) Number Properties i) Integers Numbers‚ such as -1‚ 0‚ 1‚ 2‚ and 3‚ that have no fractional part. Integers include the counting numbers (1‚ 2‚ 3‚ …)‚ their negative counterparts (-1‚ -2‚ -3‚ …)‚ and 0. ii) Whole & Natural Numbers The terms from 0‚1‚2‚3‚….. are known as Whole numbers. Natural numbers do not include 0. iii) Factors Positive integers that divide evenly into an integer. Factors are equal to or smaller than the integer in question. 12 is a factor of 12‚ as are 1‚ 2
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THE REAL NUMBER SYSTEM The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first‚ “number” meant something you could count‚ like how many sheep a farmer owns. These are called the natural numbers‚ or sometimes the counting numbers. Natural Numbers or “Counting Numbers” 1‚ 2‚ 3‚ 4‚ 5‚ . . . * The use of three dots at the end of the list is a common mathematical notation to indicate that the list keeps going forever. At some point‚ the
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Name of Property Example Explanation Zero Exponent Property x0 = 1 (x ≠ 0) Any number (except 0) with an exponent of 0 equals 1. Negative Exponent Property x−n = 1 xn (x ≠ 0) Any number raised to a negative power is equivalent to the reciprocal of the positive exponent of the number. Product of Powers Property xn•xm = xn+m (x ≠ 0) To multiply two powers with the same base‚ add the exponents. Quotient of Powers Property xn xm = xn−m (x ≠ 0) To divide two powers with the same base‚ subtract the exponents
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is Ownership. Ownership of properties is not only a dream but also literally a right of passage in America that symbolizes newfound stature and success. In our society‚ these symbols have come under fire by those who would seek to take that away called the “Plaintiff”. This new stature comes in many forms but today we will talk about two that are in the most jeopardy and require legal protections‚ in the form of either Real Property‚ or Intellectual Property. Real property (or realty) is a legal term
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TUTORIAL: NUMBER SYSTEM 1. Determine whether each statement is true or false a) Every counting number is an integer b) Zero is a counting number c) Negative six is greater than negative three d) Some of the integers is natural numbers 2. List the number describe and graph them on the number line a) The counting number smaller than 6 b) The integer between -3 and 3 3. Given S = {-3‚ 0‚[pic]‚ [pic]‚ e‚ ‚ 4‚ 8…}‚ identify the set of (a) natural numbers (b) whole numbers (c) integers
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Exercise 6.1 Question 1: Solve 24x < 100‚ when (i) x is a natural number (ii) x is an integer Answer The given inequality is 24x < 100. (i) It is evident that 1‚ 2‚ 3‚ and 4 are the only natural numbers less than . Thus‚ when x is a natural number‚ the solutions of the given inequality are 1‚ 2‚ 3‚ and 4. Hence‚ in this case‚ the solution set is {1‚ 2‚ 3‚ 4}. (ii) The integers less than are …–3‚ –2‚ –1‚ 0‚ 1‚ 2‚ 3‚ 4. Thus‚ when x is an integer‚ the solutions of the given inequality
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------------------------------------------------- ------------------------------------------------- LAWS2017 Real Property ------------------------------------------------- Comprehensive Study Notes 1. Common Law and Equitable Approached to Competing Interests The basic rules of priority: 1. Priority disputes occur when two or more people claim independent property rights that cannot co-exist. When one property right takes priority over another‚ the latter is extinguished or diminished to the extent
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universal precautions. Suppose the spread of a direct contact disease in a stadium is modeled by the exponential equation P(t) = 10‚000/(1 + e3-t) where P(t) is the total number of people infected after t hours. (Use the estimate for e (2.718) or the graphing calculator for e in your calculations.) 1. Estimate the initial number of people infected with the disease. Show how you found your answer. Answer: A total of 474 people would be initially infected. Equation: p(0)=10‚000/(1+3^3) ~ 474
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