Complex numbers Questions and Answers

11 How many complex zeros does the function have Explain f x x 3x 5x 3x 6

12 Factor the polynomial function f x x 2x 6x 4x 16

4 Use synthetic division to divide 4x 6x 23x 10 by x 2

many miles they run each week The following is the data collected from the team this past week 10 15 33 47 52 35 8 72 42 29 45 54 41 37 48 56 45 40 This data is also summarized in the box and whisker plot below T 10 e Weekly Running Distances miles 6 20 30 40 50 60 State whether each of the runners described in the table below would be considered an outlier by se lecting Yes or No 70 Press the hotspot that corresponds to the correct response Press the answer box after each selection to

Find the inverse of f x 2x by thinking about the operations of the function and then reversing them Choose the correct answer below X OA f x OB f 1 x O c f x 1 2 x 2x OD f x 1 1 2

Determine whether the function is one to one If it is find a formula for its inverse 3 f x x 5 Is the function one to one O No Yes Select the correct choice below and fill in any answer boxes within your 1 The inverse function is f x B There is no inverse function A choice

2 A peer reviewed medical journal publishes a report on the results of a clinical trial for a new drug It reports that the clinical trial had 4 012 participants who were given either the drug or a placebo The data showed that there was no statistical significance in the difference between the effects of the drug and of the placebo What statement would be true about the journal s report A The results of the trial may still be valid even though there was no statistical significance B The journal s report is not valid because no conclusions were made regarding the results of the clinical trial C The journal s report is not valid because the clinical trials methodology must have been flawed which is why there was no statistical significance D The journal s report is not valid because no statistical significance indicates that the results of the clinical trial were not medically important

L A health food store was introducing a new smoothie mix and set up a display offering free samples to shoppers The display was up from 10am to noon on Tuesday and 18 shoppers tried the new smoothie mix Out of the 18 shoppers 7 said they liked the new smoothie mix 8 said they did not like it and the rest were undecided The health food store manager thought the survey was biased but the store worker giving the samples did not think it was biased Who is right about the survey A It is not biased because people gave their honest opinions B It is not biased because the people who tried the product chose to participate in the survey C It is biased because only 17 people tried the product D It is biased because some of the people were undecided about liking the product

1 3 ut a ftware System by Elimination Solve each system by elimination 1 0 6x 8 10y 10y 19 3x 0 A 3 1 C 6 1 3 1 3 y 1 x 4 x 28 2y A 8 10 C 8 10 5 x 15 9 y A 7 10 C 4 10 2 2 044 8x 36y 7 8x 4y 4 9 12y 3x A 8 1 C 1 1 B 3 1 D No solution 9 1 5x 2y 10y 8x 46 A 3 7 C 1 7 B 10 8 D 8 9 B No solution D 7 10 B 1 1 D 1 1 B 3 7 D 3 7 All rights reserved 2 2 x 5 4 4 4 9 x y 5 5 6 8 9 y 0 44 0 2x 8y 4 1 y x 0 2 10 A 1 2 B 1 1 C 10 2 D Infinite number of solutions A 2 2 C 6 2 6 20 9y 5x 6x24 18y 0 A 0 6 C 4 0 8 9y 7x 18 6x 9 7y A 9 9 C 9 9 B 2 2 D 4 2 A 2 3 C 2 9 B 0 8 D 0 8 B No solution D 9 9 10 24 9x 2y 0 5y 29 7x B 9 2 D 2 9

1 3 ut a ftware System by Elimination Solve each system by elimination 1 0 6x 8 10y 10y 19 3x 0 A 3 1 C 6 1 3 1 3 v 1 x 4 x 28 2y A 8 10 C 8 10 5 x 15 9 y A 7 10 C 4 10 2 2 044 8x 36y 7 8x 4y 4 9 12y 3x A 8 1 C 1 1 B 3 1 D No solution 9 1 5x 2y 10y 8x 46 A 3 7 C 1 7 B 10 8 D 8 9 B No solution D 7 10 B 1 1 D 1 1 B 3 7 D 3 7 All rights reserved 2 2 x 5 4 4 4 9 x y 5 5 6 8 9 y 0 44 0 2x 8y 4 1 1 y x 0 2 10 A 1 2 B 1 1 C 10 2 D Infinite number of solutions A 2 2 C 6 2 6 20 9y 5x 6x24 18y 0 A 0 6 C 4 0 8 9y7x 18 6x 9 7y A 9 9 C 9 9 B 2 2 D 4 2 A 2 3 C 2 9 B 0 8 D 0 8 B No solution D 9 9 10 24 9x 2y 0 5y 29 7x B 9 2 D 2 9

Which two triangles are congruent by the AAS Theorem Complete the congrue statement H Z X

1 3 5 20 2 3 Kuta Software LLC All rights Systems by substitution Solve each system by substitution 1 2x 7y 1 7x y 20 A 3 1 B Infinite number of solutions C 3 1 D 3 1 3 x 7y 10 3x 7y 2 A 2 4 C 4 2 2x 2y 16 x 6y 8 A 8 2 B 8 0 C Infinite number of solutions D 8 3 7 y 6 6x 4y 6 A 5 6 C 5 6 B 4 2 D 4 2 9 8x 5y 23 3x 5y 12 B 5 6 D 5 2 A Infinite number of solutions B 1 3 C 1 3 D 3 1 2 6 4 8 10 reserved 2 8x 5y 1 y 3 A 2 3 C 6 3 4 3x 24y 3 x 8y 4 A No solution C 5 5 6 4x 3y 21 x 5y 12 A 3 5 C 3 3 8 8x5y 22 5x 3y 23 A 1 6 C 1 6 10 5x 4y 19 B 2 3 D 6 3 A 4 1 C 4 1 B 5 6 D 5 6 B 5 3 D 5 3 5x 2y 17 B 1 6 D 1 6 B 3 1 D 4 1

97 cm a 72 cm What is the length of the missing leg If necessary round to the nearest ter centimeters

z 11 4 11 6 11 7 The table shows the outcome of car accidents in a certain state for a recent year by whether or not the driver wore a seat belt Wore Seat No Seat Belt Total Belt 411 551 Driver Died Total Find the probability of surviving a car accident given that the driver wore a seat belt The probability as a decimal is Round to three decimal places as needed Driver Survived The probability as a fraction is Type an integer or a simplified fraction 542 412 093 164 736 2395 167 131 576 287 2937 579 224

You draw one card from a 52 card deck Then the card is replaced in the deck and the deck is shuffled and you draw again Find the probability of drawing a ten the first time and a club the second time The probability of drawing a ten the first time and a club the second time is Type an integer or a simplified fraction

A single die is rolled twice Find the probability of rolling a 1 the first time and a 6 the second time Find the probability of rolling a 1 the first time and a 6 the second time Type an integer or a simplified fraction

4 Caleece took a science test and an English test yesterday The English test had 30 que tions and she got 21 right On the science test she had 20 questions and got 15 right On which test did she earn the higher percentage grade

What is the domain of the following function 4 f x x 256 Choose the correct domain O A xl 4 x 4 O B xl 4 x 4 OC xlx 4 or x 4 O D xlxs 4 or x 4 O E 0 00 OF

The game of Scrabble has 100 tiles The diagram shows the number of tiles for each letter and the letter s point value One tile is drawn from Scrabble s 100 tiles Find the probability of selecting a Q or a C The probability of selecting a Q or a C is Type an integer or a simplified fraction Points 0 of 1 GECOID A 9 B 2 C 2 D 4 available until you sign in again F 2 K G 3 L Q V 2 H 2 M 2 R 6 W2 1 12 J 9 N S 6 0 8 T X 1 6 Y 2 Z 2

8 Fred s Furniture has a sale Before the sale a couch cost 500 a Fred decreases the price to 450 What is the percent decrease b Fred increases the price back to 500 What was the percent increase c Why are your answers to B and C not the same

You are dealt one card from a 52 card deck Find the probability that you are dealt a diamond or a picture card The probability is Type an integer or a simplified fraction

Independent Practice Mixed Percentage Skills Read each problem carefully to determine if you are solving for percent change or per cent of 1 The coal consumption of a factory at April was 460 tons And the coal consumption of the factory at May decreased to 345 tons What was the percentage decrease in the coal consump tion of the factory

7 7 y 6 9 6x 4y 6 A 5 6 C 5 6 9 8x 5y 23 3x 5y 12 B 5 6 D 5 2 C 8 10 8 8x5y 22 5x 3y 23 A 1 6 C 1 6 B 1 6 D 1 6 10 5x 4y 19 5x 2y 17

Fork 11 6 You randomly select one card from a 52 card deck Find the probability of selecting a four or a five The probability is Type an integer or a fraction Simplify your answer

Pizza slices are on special this week Normally the pizza parlor charges 3 per slice of piz a but this week they cost 2 50 What is the percent change in the price from last week to this

2 In the summer Cate works at the pool as a lifeguard In June she works 74 hours In July she works 85 hours What is the percent increase in her number of hours worked

1 Solve each system by substitution 1 2x 7y 1 7x y 20 2 2 8x 5y 1 y 3 B2

2 A jacket went on sale for 60 last week but then went back to its original price of 80 this week What was the percent increase in price from last week to this week What was the percent increase in price

A single die is rolled twice The 36 equally likely outcomes are shown to the right Find the probability of getting a first number that is greater than the second number The probability of getting a first number that is greater than the second number is Type an integer or a simplified fraction First Roll Second D B 1 1 1 2 1 3 2 1 2 2 2 3 3 1 3 2 3 3 4 1 4 2 4 3 5 1 5 2 5 3 6 1 6 2 6 3

Try it Last year Penncrest High School had 300 students in its freshmen class This year they have 250 students in their freshmen class What is the percent change in size of the freshmen class

0 of 20 points The probability that the pointer lands in a red region is Type an integer or a simplified fraction Use the spinner shown to answer the question Assume that it is equally probable that the pointer will land on any one of the colored regions If the pointer lands on a borderline spin again If the spinner is spun once find the probability that the pointer lands in a red region O Points 0 of 1 br red yellow blue brown red Save red blua low brown

1 Let f x 2x 1 and g x Find f g x f g x fg x and f g x Simplify your answer VEU x Give the domain of each

Solve the equation Check for possible extraneous solutions logy 3x 3 log 4x 2 no solution X 5 x 5 X 7 O

Solve the equation Check for possible extraneous soluti log 4x 9 log 2x 3 x 2 no solution O Ox 18 X 2

of Rudy Meangrurow Find the difference quotient Assume h 0 f x h f x h 2 for the following function below 700

Solve 4x 21 Graph the solutions on the number line 26 14 45 H 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10

Matt is five years older than twice his cousin Andy s age The sum of their ages is less than 35 Let x represent Andy s age Which inequality represents Andy s possible age 00 z 25 00 z 10 0 0 x 10 25

Which graph represents the solution set of the compound inequality 5 a 15 2 10 8 6 4 2 0 2 4 6 8 10 19 10 8 6 4 2 0 2 4 6 8 10 0 2 4 6 8 10 12 14 16 18 20

Solve for x 410 7x 0x2 Ox 2 x 2 0x 2

Use your calculator to evaluate cos 0 56 to at least 3 decimal places Give the answer in radians

A line has a slope of 7 and a y intercept of 15 What is the equation of the line in slope intercept form A y 7x 15 B y 7x 15 C y 7x 15 D y 15x 7

Solve the equation for x 125 3 5 8 The solution set is Simplify your answer Type an integer or a fraction

Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first 4x4 12x 11x 25x 20 x 4 Is x 4 a factor of 4x4 12x 11x 25x 20 O No OYes

Use the remainder theorem and synthetic division to find f k for the given value of k f x x 9x 21x 13 k 5 f 5

Express f x in the form f x x k q x r for the given value of k f x 2x4 3x 11x 16 k 1 2x4 3x 11x 16

4 32 2 4 32 2 Type your answer in the form a bi Type an exact answe

enes 2 n 1 converge or diverge Choose the correct answer below OA The series diverges because it is a p series with p 1 OB The series converges because it is a geometric series with r 1 OC The series diverges because it is a geometric series with r 21 OD The series converges her

Find the standard equation y a x h k of the parabola shown in the figure Be sure to answer in the specified format V 1 2 2 3 H

Find a linear equation having a Intercept at 1 0 and y intercept at 0 1 f x help formulas

Solve the equation by the zero factor property w2 12w 32 0 The solution set is Use a comma to separate answers as needed