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.
What value is stored in uninitialized variables? An uninitialized variable is by default a 0. Algorithm Workbench 3-10 3. Write assignment statements that perform the following operations with the variable a, b and c. a) Adds 2 to a and stores the result in b. { b = 2 + a } b) Multiplies b by 4 and stores the result in a.
1 2 5c 1 a 2 b 2 b 6. s 2 a 5 a 1 2 1 c 2 a 1 5 a 2 2a 2 b 1 c Enrichment Activity 13-4: Solving Trigonometric Inequalities p p 1. p # x , p or 54 # x , 32 4 2 p 2. p , x , 32 2 5c 2 a 1 b 2 2 7. 1 2 cos C 5 ab ? c 1 a 2 b ? c 2 a 1 b 2 2 2 5 ab ( s 2 b)( s 2 a) p 3. p # x # 32 2 p 4. p , x , p or 76 , x , 2p 6 p 5. a. p, 54 4 b. Graph y 5 sin x and y 5 cos x and identify intervals where the graph of sin x is below the graph of cos x. The solution is 0 # x , p or 4 5p 4 , x , 2p.
What is the initial speed of the ball? [14.1 m /s] b. How long is it in flight? [2.2 sec] c. How high does it rise? [5.94 m] 10.
What is the natural exponential function? * The logarithmic function with base e. 3. Evaluate 4–1.5 using a calculator. Round your answer to three decimal places. * .125 4.
Set up the matrix equation to solve this system. 2. Given the inequality y < x2 + 2x – 3, is the point (0, -3) part of the solution? Name a point that is part of the solution and one that is not. 3.
History 130: United States History, 1500-1877 CRN 46225 Fall 2013 Monday/Wednesday Lectures, 1:00 pm – 1:50 pm, Markstein Hall 125 Friday Discussion Sections, 1:00 pm – 1:50 pm, rooms as assigned Professor Anne Lombard Office Phone: 760-750-4106 E-mail: alombard@csusm.edu Office: 232 Markstein Office Hours: Mondays 9-10 am Wednesdays 2:00-4:00 pm, and by appointment Course Description and Introduction This is an introductory, lower division survey course on the history of the United States from the origins of the first European colonies in North America and our nation’s beginnings in a revolution against the British empire, to the devastating Civil War that divided our nation in two, through the end of Reconstruction.
9.2 Q1 Determine (f+g)(4) when f(x)=x^2-3 and g(x)=-6/(x-2). A1 10 Q2 What is the domain of (f-g),where f(x)=√(x+1) and g(x)=2log⁡[-(x+1) ]? A2 {x∈R|-1≤x≤1} Q3 a) Is the sum of two even functions even,odd,or neither?Explain. b) Is the sum of two odd functions even,odd,or neither?Explain. c) Is the sum of an even function and an odd function even,odd,or neither?Explain.
Use the commutative and associative laws to write at least three expressions equivalent to (3x)y. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 94 3C • b Properties of Real Numbers Use the commutative and associative laws to find equivalent expressions. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 95 3C Properties of Real Numbers Use the distributive laws to multiply expressions like 8 and x – y. Consider a multiplication problem from arithmetic: To carry out the multiplication, we actually added two products. That is, Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 96 3C Properties of Real Numbers Use the distributive laws to multiply expressions like 8 and x – y. Compute in two ways: Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 97 3C Properties of Real Numbers The Distributive Law of Multiplication over Addition Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 98 3C Properties of Real Numbers The Distributive Law of Multiplication over
Write each of these correct to 1 significant figure. a) 783 b) 87602 c) 10.49 d) 5049 [4 marks] 8. Remove the brackets and simplify as much as possible. a) 5(2 + 3a) b) 3(4 + 7x) c) 2(b-4c) [3 marks] 9. Solve these for x. a) 2x + 4 = 10 b) 3x + 2 = 14 c) 4x + 5 = 1 [3 marks] 10.