Complex numbers Questions and Answers

2 1 pretended to know what I was talking about but it was a 3 Good dogs are lovable loyal and 4 If you are 5 To help us remember the formulas my math teacher uses songs that repeat them over and over again but his methods of do not work for me 6 If you are 7 I have a people will call you a suck up 8 Don t believe the you may get sent to the office for hot Cheetos I eat them every day it s all fiest Act One Vocab 1 Predilection n An already existing liking preference 2 Parochial adj Narrow limited 3 Ingratiating adj Having a quality that brings oneself into favor sucking up or brown nosing 4 Dissembling n Pretense act 5 Subservient adj Submissive obedient 6 Calumny n False accusations slander

Let r be a root or zero of a polynomial f If r is a zero of even multiplicity then the graph of f Select an answer other hand if r is a zero of odd multiplicity then the graph of f Select an answer I T at I r On th vat

3 A shortstop makes an error on 5 of the plays that he attempts to make If one season he attempts 500 plays how many plays will he make successfully A 25 B 75 C 425 D 475

4 At a school all 250 students have to either take gym art or music 120 students take music 60 take gym and the rest take art What percentage of the students take art A 25 B 28 C 60 D 70

Aundre 1 For a business project Uma must solve the system of linear equations shown below Equation M 3a y 6 Equation N 2y 23 Select a number or ordered pair for each blank to make each sentence true If Uma wishes to eliminate the y variable she should multiply Equation M by CHOICE to Equation N This elimination method will produce the solution CHOICE 2 which is a original system 3 2 2 3 Choice 1 Choice 2 13 5 5 9 5 9 13 5 Use the information below for the following questions Sheldon is buying new shirts to take with him to college He has a total of 240 to only at Baker s Clothing store which sells casual shirts for 15 each and dress shi This question refers to Sheldon s Shirts 9 Let c represent the number of casual shirts and dropresent the number of drass shirts Baker s Clothing

8 Maya spent 40 of her savings to buy a video game that costs 60 How much money is left in her account

5 Jack took a test in his English class He got 24 questions right and 16 questions wrong What is his percentage grade on the test

6 Kate earns 1600 per week She puts 25 in her bank account and spends the rest How much spending money does Kate have each week

2 Tracy s soccer team scored 80 goals this year Tracy scored 30 of those goals How many goals did Tracy score

4 In a parking lot with 250 spaces 40 are full right now How many spots are empty

1 Curtis is on time for class 80 of the time In the first week of school Curtis has 24 classes How many times was he late to class

2 A basketball team spends 25 of its practice time doing strength and conditioning 30 of its time running drills and the rest scrimmaging If they spend 300 minutes practicing one week how much time will be spent scrimmaging

1 In a class of 25 students 5 students got an A on a test 8 got a B on a test 7 got a C and the rest failed What percentage of the class earned a score of A B or C on the test

3 If you ve been using your phone for 120 minutes and it currently has 75 of its battery left how many more minutes would you expect your phone to last

10 Translate the verbal phrase into an inequality use x as your variable Don t solve The quotient of x and 5 is greater than 2 Type a response U 11 Translate the verbal phrase into an inequality use x as your variable Don t solve The sum of 4x and 7 is less than or equal to 11 Type a response

7 Simplify Give your answer in radical form 2 125

Which function displays this end behavior As x approaches negative infinity y approaches negative infinity As x approaches positive infinity y approaches negative infinity O A y 5 B y 2r 1 y 3x 4 D y 2x 7 O c

12 Multiply Give your answer in radical form 3 24 30

2x y4 2 What is the expression in simplified radical form 343 3 Simplify 27x 1y33

Simplify O 1 01

What is the expression in simplest radical form 432 Enter your answer in the box

Simplify 7 2i 8 9i Enter your answer in standard form in the

TA and sequence U 1 defined what is by unts Unt un t the fifth with 7 n term of this sequence 5

Explanations must state what you did and WHY you did it You may not need every line below Answer Steps Work 3 4i 6i 7 2 3i Explanation Given

12 Charlie would like to make at least 200 washing cars this summer He charges S Write an inequality to represent Charlie s goal amount use w for the number of ca washed Type a response 13 Julie is taking a taxi cab to a restaurant in the city The cab charges 3 20 plus 55 per quarter mile Julie only has 15 to spend on the cab Write an inequality to represent the how far away the restaurant can be so that Julie can afford the taxi fare Use m for the number of quarter miles Type a response

Determine the vertical asymptotes of the graph of the function f x 3 x 4 x 1 What is are the equation s of the vertical asymptote s O A x 1 and x 4 OB x 0 O C x 1 and x

A 5 1 Bria 56 8P 7 7 92 p 49 solve the equation p 56 for P He incorrectly divided 56 by 7 His work is shown to the left Which of the following statements best de scribes the error Chad made while solving for P HINT 1 What is the opposite inverse operation for multiplying 2 Is the opposite inverse operation done correctly He should have added to both sides of the equation

Expand the logarithm gh log3 k log g log h log k log g log3 h log k Olog g log h log k log g log hlog k

How long is a guy wire reaching from the top of a 14 foot pole to a point on the ground 10 feet from the pole The guy wire is exactly feet long Type an exact answer using radicals as needed The guy wire is approximately feet long Round to the nearest thousandth

Press each hotspot Label the corresponding number below with the requested value 4 7 11 5 14 9 7 12 Press to hear a reminder or hint for this problem ar C 0 00 0 05 Speed 1x Take time to review your notes on how to find each measure of central tendency Mean Median Faused

Compound Inequalities Solve each compound inequality and graph its solution 3 2x 10 or 23 1 2 5 3 1 0 10 m 7 7v 52 65 or 3v 22 2 202 4 6 8 10 10 12 14 Name 2 1 9 x 17 12 10 8 Date and 1 4 x 8 29 and 0 2 6 r 5 12 or 0 Period 4 3 2 10 2 3 4 5 6 7 8 9 10 11 8 10b 3 37 or 3b 10 25 8 7 6 54 3 2 10 1 2 3 4 5 6 7

Solve 2r 8 4r 8

Exercise 7 3 4 Let A be an m x n matrix of rank k If B is an invertible mxm matrix try to argue why B A is also rank k Using your above logic Suppose that A VW is a matrix with rank k Suppose that B W W is A V W is rank k What does this tell us about elementary row matrices E and rank k matrices A an invertible matrix then explain why B Using your above logic that they operate on

Verify the identity cos x sin x 2 cos x 1

Verify the identity sin x cos x sin x cos x sin x cos x sin x cos x 1

Simplify the trigonometric expression 2 5 cos y 5 2 sec y

5 A certain college claims to have an 80 graduation rate If 2000 people graduate one year how many students started school with the class

9 Alex is shooting foul shots He takes 20 shots and only misses three times What percentage of the shots did he make

4 As a teacher circulates the room she finds that 8 students answered a question correctly and 2 answered the question incorrectly What percent of the room answered the question correctly

8 Mark is 24 years old which is 75 as old as his friend Troy How old is Troy

3 60 of the animals in a zoo are mammals If there are 45 mammals how many animals are there

Practice 1 At the computer factory there is a defect in 2 of computers produced If the factory produces 400 computers in an hour how many will have a defect

4 Write in exponential form 9 b 10 a 7

Exercise 7 3 4 Let A be an m xn matrix of rank k If B is an invertible mx matrix try to argue why B A is also ank k

Dollars The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars Use the information in the figure to answer the question 3500 3000 2500 2000 1500 1000 500 400 600 200 800 Binoculars Produced and Sold R x 3x 2700 binoculars 750 binoculars O1500 binoculars 2250 binoculars C x 1500 x Break even Point 750 2250 How many binoculars must be produced and sold for the company to break even

3 Melissa has 5 pens 3 pencils and 2 markers in her pencil case What percentage of her writing utensils are pencils A 3 B 13 C 30 D 43

frth f8 h 3 xh 41 17 4 x F 3x 3h 5245444 h 3x 1 5444 3241 5x 4

The cost of a home on a particular island is 1000 000 The bank requires a 15 down payment and three points at the time of closing The cost of the home is financed with a 30 year fixed rate at 8 Find the amount that must be paid for th three points at closing 25 500 O 30 000 O 68 000 80 000

The functions f and g are graphed in the same rectangular coordinate system shown to the right If g is obtained from f through a sequence of transformations find an equation for g What is the equation for g g x fixtED 15 ALTHO

Suppose that you borrow 30 000 for four years at 8 compounded monthly towards the purchase of a car Find the the amount of the monthly payment Payment 857 2095 O 732 O 7625 A 11 nxt