Permutations and Combinations Questions and Answers
Algebra
Permutations and Combinations12 List the domain and range for the relation 11 3 9 10 3 5 9 3 Range 10 5 9 1 Range 3 5 10 Range 3 9 3 Domain 3 11 5 9 Domain 11 10 3 3 Domain 9 3 9 11
Algebra
Permutations and CombinationsState the domain and range of the relation Determin if the relation is a function Nado 6 1 The relation is 2 Range 3 Domain man 3 9 a 0 6 9 b 3 5 5 9 c not a function d 6 0 2 6 e 0 2 5 6 f a function g 6 3 5
Algebra
Permutations and CombinationsWater is flowing downhill at 35 0m s through a pipe that is at an angle of 750 with the hori zontal What are the components of its velocity 3
Algebra
Permutations and Combinations14 Given the triangle ABC when A is a right angle a 14 and b 12 the length of the other side is
Algebra
Permutations and Combinations8 Tell whether the given lengths can be the sides of a right triangle a 4 b 3 c 2 O yes O no
Algebra
Permutations and Combinations2 Express the following decimal as a fraction 0 4444 O 44 100 O 10 4
Algebra
Permutations and CombinationsFind the first second and third quartiles for the sales amounts in the data provided and interpret the results Click the icon to view the data The first quartile is 17 86 meaning that 25 of the sales amounts are less than this value Round to two decimal places as needed The second quartile is meaning that of the sales amounts are less than this value Deur
Algebra
Permutations and Combinations8 Which of the following pairs of functions are inverse functions Of x x g x x Of x 12 x g x 12 x Of x x 8 g x x 8 Of x 3x 4 g x 3x 4
Algebra
Permutations and Combinations4 Determine whether the pair of functions are inverse functions f x x 19 g x x 19 O yes O no
Algebra
Permutations and Combinations24 Given the set of all even integers between and including 18 to 6 what is the probability of choosing a multiple of 4 from this set 0 19 10
Algebra
Permutations and Combinations36 If there are 89 people in a diner and 17 are girls what is the probability that a person chosen at random will be a boy State your answer as a fraction
Algebra
Permutations and Combinations5 The ordered pair that is a solution of the equation y 4x 2 is O 8 30 O 8 30 O 8 34 8 2
Algebra
Permutations and Combinationsraph the equation y 2x 8 If you have a graphing alculator you may use it Which of the following ordered pairs are solutions of the e Mark all correct answers 4 16 1 11 8 9 17 1 2 4 4 5 4 6 23 6 7 22 2 10 2
Algebra
Permutations and CombinationsWhich direction is negative on the horizontal axis O Up from the origin O Right of the origin O Down from the origin O Left of the origin
Algebra
Permutations and Combinations9 How many values of x make 2x 3 19 true O Two Three Zero O One O All real numbers 10 Solve for h A 1 bh 26 A 2 A O 26 O O b 2 A O Ab
Algebra
Permutations and Combinations3 6 Solve the following algebraically your answer may be integer a fraction or a decimal 12 6c 1 C 7 Given 3z 27 12 z O 13 O 5 O 5
Algebra
Permutations and Combinations2 Using the set N 2 3 5 7 9 what is the probability of choosing a multiple of three
Algebra
Permutations and Combinations11 The area on the graph shaded for the inequality 4x y 4 can be described as O shaded above a dashed line O shaded below a dashed line O shaded below a solid line O shaded above a solid line 12 Simplify 6 5 5 5 13 Express in simplest radical form 625 1
Algebra
Permutations and Combinations3 Choose the equation which best fits the following situation For your new landscaping job your mom will buy you a number of t shirts s They are 16 each Choose the equation which best describes total cost C of the shirts as a function of the number of shirts purchased C 16s O C 16 3
Algebra
Permutations and Combinations9 10 11 12 13 data 14 15 16 17 Q Based on the boxplot above identify the 5 number summary
Algebra
Permutations and CombinationsCIC the 75 62 45 58 54 45 41 75 62 37 79 41 24 58 92 62 Find the mean median and mode for the temperatures Mean Median Mode x x
Algebra
Permutations and Combinations42 Replace the empty space with the correct symbol or which will make a true statement from the following expression 2100 24 8
Algebra
Permutations and Combinations1 To which number set s does the following number belong 20 Multiple answers may be correct Mark all correct answers irrational numbers real numbers counting or natural numbers integers rational numbers whole numbers
Algebra
Permutations and Combinationsroduce a rule for the function whose graph is shown in b 3 2 5 4 3 2 1 2 3 T 5 2 3 5
Algebra
Permutations and CombinationsSuppose that y varies directly as the cube of x and that y 15 when x 11 What is y when x 17 Round your answer to two decimal places if necessary Answer y Key Keyboard Shor
Algebra
Permutations and CombinationsFind the mathematical model for the following statement Remember to use k as the constant of proportionality Answer Tvaries inversely as f
Algebra
Permutations and CombinationsGiven the formula D 5w 4wz solve for z Make sure to use appropriate parenthesis When simplifying keep D positive and leave the answer as a single fraction
Algebra
Permutations and Combinationsy 10 6x O y 10 6x O y 10 6x O y 10 6x O y 10 6x Oy 10 6x 3 Solve the systems of linear equations using a graphing 5x y 19 x 5y 23 O 4 3 O 4 4 O 3 4
Algebra
Permutations and CombinationsFind the vertex of the parabola defined by the equation y 4x 12x 9 Select one O a 0 3 2 O b 2 3 0 Oc 3 2 0 O d 3 2 0
Algebra
Permutations and CombinationsThe following picture represents a function and its inverse Select one True O False 1 2 3 f 1 1 2 3 00 a b C
Algebra
Permutations and CombinationsA function f is defined by f x x x 2 x 2 Find f 2 Select one O a 4 Ob 2 O c 3 O d 1
Algebra
Permutations and CombinationsWhat is the equation of the circle whose diameter is 8 and center is at origin Select one O a x y 64 O b x 2 y 3 16 O c x y 16 O d x y 16
Algebra
Permutations and Combinations11 Solve the system of equations using addition and or subtraction with multiplication method Select the best answer with the format x y 7x 8y 98 8x 6y 90 O 10 3 O 6 7 O 15 15 O 7 4 Ono solution O infinite solutions
Algebra
Permutations and Combinations5 Solve the linear systems of equations using the elimination or addition multiplication method Express your answers as fraction 2a 406 6 7a 406 1 O a 1 b 1 O a 1 b 7 O a 1 6 1 1 O no solution equations for parallel lines
Algebra
Permutations and Combinations31 Convert the following equation to its alternate form standard to slope intercept or vice versa 0 7x y 17 O y 0 7x 17 O y 0 7x 17 Oy 0 7x 17 O y 0 7x 17 32 Given the formula V r h solve for r O T Th 2 0 7 O VI Th
Algebra
Permutations and CombinationsDescribe all solutions of Ax 0 in parametric vector form where A is row equivalent to the given matrix 1 4 8 3 0 1 4 4 X X3 Type on X4 gor or fraction for och motrix clement
Algebra
Permutations and CombinationsThe table below gives the population of a town in thousands from 2000 to 2008 What was the average rate of change of population between 2002 a 2004 and between 2002 and 2006 Year Population thousands a between 2002 and 2004 people per year b between 2002 and 2006 people per year 2000 86 2001 85 2002 83 2003 80 2004 76 2005 75 2006 2007 79 81 2008 84
Algebra
Permutations and CombinationsThe point P x y lies on the terminal side of an angle 60 in standard position What are the signs of the values and y O Both x and y are positive O Both x and y are negative O x is positive and y is negative O x is negative and y is positive
Algebra
Permutations and CombinationsWhich function has the given properties below The domain is the set of all real numbers One x intercept is 2 0 The maximum value is 3 The y intercept is 0 3 Oy 3sin x Oy 3cos x O y 3sin x O y 3cos x
Algebra
Permutations and CombinationsWhich expression converts 8 radians to degrees O 8 X 0 8 T 180 O 8 180 180 O 8
Algebra
Permutations and Combinations5 Use the graph below to answer the questions 20 points 5 each Find a g 3 b Zeros c Y intercept Solve d g x 1
Algebra
Permutations and CombinationsQ9 Find the angle between the planes x 2y z 3 0 and x 2y z 1 0 A 30 B 45 C 60 D 90 E 180