Complex numbers Questions and Answers

22 How many values of x make 4x 9 19 true Three Two O One O Zero O All real numbers 23 Given 2x 18 16 x O 17 and 17 O 17 and 1 O 17 and 1

17 Is this a function Input x 2 1 0 1 O yes O no Output x 4 2 OT CON 3 4 5

Taima needs to buy sand for her children s playground The sand costs 15 per ton and there is a delivery cost of 50 with each order What types of numbers are possible in the range All positive rational numbers less than 15 All positive rational numbers O All positive rational numbers greater than 50 O All rational numbers Given 2 12 D 12 0 333 0 000 1 y

olve for a given the following equation 10 16 More than one answer may be correct check all that app x 26 x 6 X 21 x 4 x 1 x 24

Let f x x 2 Click on the graph of g x f x 1

Use the following scenario and frequency table to answer A classroom of 15 students polled to see who had studied quiz that morning The results were as follows Yes No 3 5 4 Boys Girls Total 7 38 3 8 Total 8 7 15 Which of the following describes a joint relative frequen Of the 15 students surveyed 7 were girls Of the 15 students 5 were boys who did not study for t Among the 7 girls 4 studied for the quiz Of the 15 students surveyed 8 people neglected to stud

48 Solve the inequality 7x 6y 54 O y 9 7x 6 O y 9 7 X Oy 9 1 x Oy 9 7x Oy 9 7 x Oy 9 1 x

35 Evaluate the expression 4 4b 24a 27c if a b 6 and c 1 9 O 72 O 92 O 80

Write the following statement in a mathematical inequa If four were added to 7 times a number the result is les six more than 5 times the number x 2 2 0 x 10 2 X

30 Decide if the following is rational or irrational O rational O irrational

27 If y varies jointly as x and z and y 24 when x 3 and z 3 and z 4 find y when x 4 and z 8 O 12 O 48 O 36

Determine whether the series is absolutely convergent conditionally convergent or divergent 1 75 1 n 1 O absolutely convergent conditionally convergent O divergent

Identify the graph of y x 3 Choose the correct graph below OA OB OC OD

e If 9 is a zero of f then what factor does f have S

5 If you traveled 61 miles in 5 hours how many feet would you have traveled per hour Do not include commas in the answer feet per hour

21 Given a line whose slope m is 3 and passes through point 1 7 the graph will O go up to the left and cross the y axis at 7 O go down to the left and cross the y axis at 4 O go down to the right and cross the y axis at 4 O go up to the right and cross the y axis at 7

66 59 51 58 57 51 50 66 59 49 67 50 42 58 74 59 Find the mean median and mode for the temperatures Mean Median Mode x

16 Two ordered pairs that are solutions of the equation 2y 3x 8 are O 4 0 2 7 O 4 0 4 2 O 0 4 7 2 O 0 4 2 7

26 The slope of a line passing through 7 3 and 13 8 is O slope O slope O slope 160 20 O slope 2 6 5 6 undefined 6 20

23 Given 4z 36 16 z O 13 and 5 O O O 13 and 13 O 13 and 5

4 Graph the equation y Find y when x 4 y 1x 3 If you have a graphing calculator you may use it

8 Solve for x 4x 20 10x 6 20 If no solution exists write none in the space provided X

Find the 5 number summary for the data shown X 5 9 8 9 9 22 4 28 2 5 number summary Use the Locator Percentile method described in your book not your calculator

a For each function below indicate whether it is odd even or neither f x cos x g x sec x 17 11 b cos Odd Odd Even Even ONeither Choose one Neither c sec 59 Choose one

Which equation represents the line that is perpendicular to y 2 23 and passes through 40 20 O A y 2 15 OB y 2 30 O c y z 52 O D y z 56

A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be 57 2 grams If the masses of eggs for this breed of hen are normally distributed with standard deviation 1 5 grams estimate the mean mass to the nearest tenth of a gram of the eggs for this breed using a 99 confidence interval Recall the following z scores for each level of confidence 90 1 645 95 1 960 and 99 2 575

7 How many values of x make 4x 24 4 x 6 tru O One O Zero O Two O Three O All real numbers 18 Solve for x x 2 3 x 6

3 Solve for x 9x 9 54x 54 Write none if there is no solution or all if the solution set contains all real numbers

27 Solve the linear system of equations using the graph method y 7x 12 y 3x 8 O x 3 y 17 O x 5 y 22 Ox 1 y 5 Ox 2 y 2

3 3 N 7 6 1 2 2 3 3 3 2 1 6 5 8 7 6 5 4 1 2 2 3 3 X

Graph the function y 10e x 4 3 2 1 4 3 2 y 60 40 20 20 40 60 1 y 60 40 20 20 1 2 3 2 3 4 4 X X 4 3 2 4 3 2 1 40 20 60 20 40 60 60 40 20 20 y 1 1 2 3 4 2 3 4 X X

5 You are dialing a friend s phone number and can t remember the last digit If you choose a digit at random what is the probability that you dial the correct number C

6 Evaluate the expression 2 2 8 20

Question 7 The recursive formula of the sequence is f n f n 1 3 Find the 4th term of the sequence if the first term is 4 O 10 O 11 12 Points 3 13

B GIVEN f x X 7x45x 55x 126x 72 FIND SPSEACH 96 32x 66X 5X 6X4 X5 1 VERTICAL ASYMPTOTE S 2 HOLE S 3 HORIZONTAL ASYMPTOTE 4 X INTERCEPT S 5 Y INTERCEPT

5 15 points Given f x y ln x y answer the following questions a Determine Duf 2 3 with v 4 5 b What is the angle in radians between v and Vf 2 3

8 Rewrite the following word phrase as a variable expression Five times a number t O bt O t 5 0 O C Ot 5

3 Let x 2 y 6 and z 4 Evaluate x y 2 2

2 To which number set s does the following number belong 10 Multiple answers may be correct Mark all correct answers Oreal numbers Orational numbers integers counting or natural numbers whole numbers irrational numbers No number set describes this number

4 Which of the following sets is a finite set of rational numbers O 3 T 2 3 14 O 1 1 3 5 7 9 Ottttt Of 1 2 0 1 1 1 4 00

A state s income tax for a single person in a recent year was determined by the rule below where x is the person s taxatile income if 0 x 4000 4000sx 10 000 x 10 000 0 04x h x 160 005 x 4000 460 0 06 x 10 000 Find the following function values and interpret the answers a h 3440 b h 8950 c h 100 650 a h 3440 Round to the nearest cent as needed

The Vista Virtual School soccer team has 25 players The coach asks the players to line up along the center line to begin a practice drill If the coach requires the midfielders to be next to each other in the line in any order and there are 8 midfielders on the team where 8 25 then an expression that represents the number of different way the players can line up is O a 2618 O b 2518 O C 26 8 B O d 25 8 B

5 To which number set s does the following number belong 20 Multiple answers may be correct Mark all correct answers counting or natural numbers irrational numbers integers real numbers whole numbers Orational numbers

A simplex matrix is given 6 100 3 4 8 y Z 3 0 0 1 5 5010 3 6 000 3 60 18 3 0 7 70 13 1 2 The solution is complete so identify the maximum value of f f 1 425 Identify a set of values of the variables that gives this maximum value X row number of next pivot column number of next pivot next pivot number Locate the next pivot If no further row operations are necessary enter DNE Select O Select O

when you solve by completing the square 0 x 1 1 20 x 1 2 x 2 1 201 O No real solutions or a For the following quadratic function identify the state which are true Check all correct statements y 2 x 4 Hint Notice there is no k so k 0 Coordinates of Vertex 4 0 y intercept 32 Equation of Line of Symmetry x 4

x 5x 3x 5 O 2x 3x 5 O 2x 5x O 5x 3x 5x O 5x 5x 2 36 Identify the solutions to the equation x x 30 when you solve by completing the square O x 5 or x 6 x 5 or x 6 O x 5 or x 6 O x 5 or x 6

solution by interpreting the graph State how many solutions there are 0 1 or 2 Number of solutions 2 1 1x 3x 5 0 Using the discriminant state the number of solutions for the following equation 4y 32y 64 O one real root O two real roots O three real roots

Given the functions 1 f x 6x 8 x x 7 h x x 4 Evaluate the function hg 5 for the given value of x Write your answer as an integer or simplified fraction Select Undefined if applicable h g 5 is Undefined

Produce a rule for the function whose graph is shown Hint Consider using the basic functions and the transformations of their graphs 24

Use interval notation to write the intervals over which f is a increasing b decreasing and c constant A Gr 3 y f x