Complex numbers Questions and Answers

Consider the function graphed at right What are the x intercepts of the function Write answer as an ordered pair separate each ordered pair with a comma 10 9 8 7 6 5 4 3 V10 8 5 6 8 9 10

Ex Solve 3x2 10 26

Ex Simplify 15

inany Numbers written with i i

x 9x 18x x 2

Pick the graph of the following function f x x 3 x 1 x 2 5 4 3 32 4 4334 3 p 5 4 3 2 1 5 4 3 2 45 1 Na i w O 6 7 in 3 2 the na 75

Pick the graph of the following function f x x 4 x 2 29 3 2 4 3 2 24 224 3 O M 45W to 4 3 2 1 434 1 bat 3 4 a Git 9 fout 5430 2 1 Hy 24 3 4 O 5 4 3 2 1 S 4 3 2 1 1 2 3 4 S O C p

19 T ch 2 1 m 2 M 2 w tay LA What is the least possible degree of the polynomial graphe

Given f x function 4x 7 8x 8 what is the end behavior of the As x f x 0 5 as x f x 0 5 O As x f x 0 5 as x f x 0 5 O As x f x 0 73 as x f x 0 73 O As x f x 0 73 as x f x 0 73

What is the completely factored form of f x x 5x 4x 6 f x x 3 x 1 i 3 x 1 i 3 f x x 3 x 1 3 x 1 3 f x x 3 x 1 i 3 x 1 i 3 f x x 3 x 1 3 x 1 3

Solve the equation 2x 15 x O O O A B C OD x 5 x 3 x 15 x 3 5

Which of the following numeric expressions is a complex number III IV B D I II A O o C III only IV only 0 1 2i 3 4i III and IV only I II III and IV

11 11 6b 5 A 5b C 76 2 13 Radical and Exponential Form 2 024 Kuta Software LLC All rights Write each expression in exponential form 15 16 Write each expression in radical form 7 12 56 4 A b C 5b Simplify 13 64x4 A x4 C 512x6 14 14 1 A 3m C 7m Write each expression in exponential form Tm Simplify B 6b 1 D b 15 x 0 5 A x C 10x B 10b D 2b 1 16 6b A 6b C 7b B 1024x 5 D 6x B m D m B 27x D x6 Write each expression in radical form B 46 D 3b reserved

What is the exact solution to the equation 2 2 5 O O 3 In 2 In 5 2 ln 2 2 In 2 3 In 2 In 5 2 In 2 3 In 2 In 5 3 In 2 In 5 2 In 2

The population of bacteria in a petri dish doubles every 16 h The population of the bacteria is initially 500 organisms How long will it take for the population of the bacteria to reach 800 Round your answer to the nearest tenth of an hour O 87h O 108h

What is the approximate solution to the equation 4 68 O 0 3285 O 3 0437 O 4 2195 17 0000

In OP m A m APC O True False

02 4 1 In 1970 the population of a small town was 4 200 The population is decreasing at a rate of 2 4 per year Complete the function that models the population y in the town t years after 1970 y CDC925 t To the nearest thousandth of a percent the population is decreasing about 4 y 10

1 The number of weeds in my yard doubles every 3 weeks If I initially have 80 weeds in my yard what unit is most appropriate for the time at which the number of weeds is 120 circle one How do you know a Week b Month c Weeds per week d Weeds per month

6 6 10k 9 3 A 10k 4 1 Simplify 7 7 1 A n C n 9 9 A a C 6a B 5k D 6k B 9n D n B 3a D 6a 8 8 49n6 A 25n6 C 27n B 7n D 3125 5

d x x 3x x 2 0

5 Factor the expression over the set of complex numbers 36x 100 Deen the fanation open up or down

6 What are the zeros of the polynomial function f x x 2x 16x 32

angular figure 8 ft of the figure Sides meet at right angles 10 ft 3 ft 5 ft PNMcAfee Secur 4 ft 5 ft 3 ft 8 ft aleks co

Solve 5z 3 20 00 1 or z 0 75257 0 7 ora27

Factor 16x 121 over the set of complex numbers

The radioisotope Phosphorus 32 is used in leukemia therapy The half life of this isotope is 14 26 days Which equation determines the percent of an initial amount of the isotope remaining after f days A 100 4 0 A 14 26 4 04 100 1 Pe 34 26

What are the zeros of the polynomial function f x x 2x x 2 Select each correct answer 0 3 0 2 0 1 0 01 02

9x 45 x 7x x 10x 25 x2 2x 35

the problem Cesar and Natalie want to clean their house Working together Cesar and Natalie can clean their house i 3 hours If Natalie works alone it will take her twice as long as it would take Cesar to clean the house alone How many hours would it take Natalie to clean their house if she worked alone

33 21 3 x 4 2 5x 1 3 2 1 0 1 2 3 4 5 6 7 34 67 7 5x 3 6 6 5x 10 8

8 x 9x 4

Find the rational function s asymptotes x intercepts and holes Also sketch the graph of the rational function Then list the domain and range using interval notation x 4 X 4 f x 9 T

3 Find the prodl 3 2x 5x 1 4x2 x 3 6x 5

ind the missing variable for each inverse variation k 6 x 1

Find the missing variable for each inverse variatio k 8 x 10

Write an inverse variation equation for the graph that passes through the point 5 10

Find the missing variable for each direct variation k 3 9 y

Write an inverse variation equation for the graph that passes through the point

Write an inverse variation equation for the graph that passes through the point 8 1

Write a direct variation equation for the graph that passes through the point 2 5

Tell whether each equation is linear If so write the equation in standard form and give the values of A B and C 30 2x 8y 16 34 X14 4 4 2 38 y x 2 3 31 y 4x 2 35 x 7 39 5x 2y 3 y 32 2x 36 xy 6 40 2y 6 4 33 y 37 3x 5 y 2y 4 41 y x

4 Add Write your answer in simplest form 2x 15 x 3x x 6 x 3x

12 Solve for x x 15 3 x

23 1 x 10 25 16 18 14 12 10 8 24 2 2p 4p 7 6 5 4 3 2 1 0 2

1 WN 2 2 25 Finding a Root of a Number In Exercises 1 16 find the root if it exists 1 64 3 3 100 65 4 4 49 5 25 6 6 1 7 7 1 8 9 8 9 10 10 64 11 11 3 27 12 12 64 9 27

5 What is the value of the logarithm Round answer to nearest ten thousandth In 175

Kyle starts a fundraiser with 43 pennies He recruits all of the players on his baseball team to participate His goal is to triple the number of pennies each day Assume Kyle meets his daily goal Use x to represent the number of days and y to represent the total number of pennies Enter an equation in the box that represents this scenario

Which statements represent the relationship between y 3 and y log2 Select each correct answer O The graphs of functions are symmetric to each other over the line y x The functions are inverses of each other The equation y log3 is the logarithmic form of y 3 O The graphs of functions are symmetric about the line y 0

as a decimal to the nearest hundredth of a degree in the box 11 Enter the value of arcsin 0 37 a