{ b = 2 + a } b) Multiplies b by 4 and stores the result in a. { a = b * 4} c) Divides a by 3.14 and stores the result in b. { b = a MOD 3.14 } d) Subtracts 8 from b and stores the result in a { a = 8 – b } 4. Assume the variables result, w, x, y and z are all integers, and that w=5, x=4, y=8 and z=2. What value will be stored in result in each of the following statements?
a. x2+8x+15 b. x2–4x –5 c. x2–14x+45 2. Factor a trinomial whose leading coefficient is not 1. Pick any three problems and factor the trinomial. If the trinomial is prime, state this and explain why. a.
Give a complete explanation for the "Power ...__The power rule for exponents states that when raising an exponential expression to a power, keep the base and multiply the exponents. This also includes powers of products and powers of quotients.7. Give a complete explanation for the "Expanded... ___The expanded power rule for exponent’s states that every factor within parentheses is raised to the power outside the parentheses when the expression is simplified. Its helps to simplify an expression before using the expanded power rule.Page 2 of 28. Give a complete explanation for the "Negative ..._______The negative exponent rule states that when a variable or number is raised to a negative exponent, the expression may be rewritten as one divided the variable or number raised to that positive exponent.
Unit 3 – Algebra Basics Module 3C Sections 10.3 – 10.8 3C Addition of Real Numbers Addition on the Number Line To do the addition a + b on the number line, start at 0, move to a, and then move according to b. a) If b is positive, move from a to the right. b) If b is negative, move from a to the left. c) If b is 0, stay at a. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 2 3C Addition of Real Numbers Add real numbers without using the number line. Add: –4 + 9.
Radicals Tips 1. Make sure that one of the two factors of the radicand (expression under the radical) is the largest perfect square: Example: Simplify 72 Correct 72 = 36 ∙ 2 = 62 Incorrect 72 = 9 ∙ 8 = 38 2. To be able to add or subtract radicals, the radicands must be the same. Example 1: Add 32 + 52 Answer: Since radicands are the same, (3 + 5)2 = 82 Example 2: Subtract 73 - 3 Answer: (7 – 1)3 = 63 Example 3: 318 - 52 (Must simplify first) 39 2 - 52 3 ∙ 3 ∙ 2 - 52 92 - 520 Answer: 42
Assignment #2 1) Improve the result from problem 4 of the previous assignment by showing that for every e> 0, no matter how small, given n real numbers x1,...,xn where each xi is a real number in the interval [0, 1], there exists an algorithm that runs in linear time and that will output a permutation of the numbers, say y1, ...., yn, such that ∑ ni=2 |yi - yi-1| < 1 + e. (Hint: use buckets of size smaller than 1/n; you might also need the solution to problem 3 from the first assignment!) 2) To evaluate FFT(a0,a1,a2,a3,a4,a5,a6,a7) we apply recursively FFT and obtain FFT( a0,a2,a4,a6) and FFT(a1,a3,a5,a7). Proceeding further with recursion, we obtain FFT(a0,a4) and FFT(a2,a6) as well as FFT(a1,a5) and FFT(a3,a7). Thus, from bottom up, FFT(a0,a1,a2,a3,a4,a5,a6,a7)
Carlos Gomez MA1310 12/30/2014 MA1310: Module 2 Exponential and Logarithmic Functions Exercise 2.1 Exponential and Logarithmic Functions Answer the following questions to complete this exercise: 1. What is an exponential function? It is a function whose value is a constant raised to the power of the argument, especially the function where the constant is e. 2. What is a natural exponential function? It is used to model a relationship in which a constant change in the independent variable gives the same proportional change in the dependent variable.
67.029 g to three significant figures b. 0.15 L to one significant figures c. 52.8005 mg to fie significant figures d. 3.174 mol to three significant figures 67.0 g 0.2 L 52.800 mg 3.17 mol 30. State the rules governing the number of significant figures that result from each of the following operations. a. addition and subtraction The answer must have the same number of digits to the right of the decimal point as there are in the measurement that has the fewest digits to the right of the decimal point. b. multiplication and division The answer can have no more significant figures than are in the measurement that has the fewest number of significant figures 31.
Answer: The function has one appropriate x value for each each y value, you can test this legitimacy by performing the straight line test on a graphed version of the function. 4. Using your function, explain to the Martians how to solve for f(3). Show your work and explain each step using complete sentences. Answer: First, replace the shown x in the equation with 3.
Algebra I Unit 4 Snap Shot | Unit Title | Cluster Statements | Standards in this Unit | Unit 4Expressions and Equations | * Extend properties of exponents to rational exponents * Use properties of rational and irrational numbers * Interpret the structure of expressions * Write expressions in equivalent forms to solve problems * Perform arithmetic operations on polynomials * Understand the relationship between zeros and factors of polynomials * Create equations that describe numbers or relationships * Solve equations and inequalities in one variablePARCC has designated standards as Major, Supporting or Additional Standards. PARCC has defined Major Standards to be those which should receive greater emphasis because of the