Permutations and Combinations Questions and Answers

12 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

State 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

Water 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

14 Given the triangle ABC when A is a right angle a 14 and b 12 the length of the other side is

8 Tell whether the given lengths can be the sides of a right triangle a 4 b 3 c 2 O yes O no

2 Express the following decimal as a fraction 0 4444 O 44 100 O 10 4

Find 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

13 Write the following expression as a fraction 0 8888

8 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

4 Determine whether the pair of functions are inverse functions f x x 19 g x x 19 O yes O no

2 Find the inverse of the function f x 4x x x

24 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

36 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

5 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

10 If 4x 7 10 9x x O 0x 1 7 20 Ox X x 5 or co 30 10 17

raph 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

Which 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

9 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

3 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

47 Given 24 6y 60 y O 6 O 14 O 6 14

44 Solve X 10 45 Evaluate 2 11 6 4 x

2 Using the set N 2 3 5 7 9 what is the probability of choosing a multiple of three

11 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

3 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

9 10 11 12 13 data 14 15 16 17 Q Based on the boxplot above identify the 5 number summary

CIC 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

42 Replace the empty space with the correct symbol or which will make a true statement from the following expression 2100 24 8

1 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

roduce 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

Graph the function n x 3 X for 4 x 2 for 2 x 2 2 x 4 for x 2

Suppose 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

Find the mathematical model for the following statement Remember to use k as the constant of proportionality Answer Tvaries inversely as f

Given 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

1 Given the formula V 105 solve for t 0 t DF 10T Ot 10 Ot Ot 10

y 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

Find 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

The 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

A 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

What 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

11 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

5 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

31 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

Describe 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

The 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

The 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

Which 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

Which expression converts 8 radians to degrees O 8 X 0 8 T 180 O 8 180 180 O 8

Evaluate 11P4 and 11 C4 P 11 4 1

5 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

Q9 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