Complex numbers Questions and Answers

Identify the number as real complex pure imaginary or nonreal complex More than one of these descriptions may apply Select all descriptions that may apply A Real B Complex C Pure imaginary Nonreal complex

Solve for x x 3 6 O 3 O 9 O 33 O 36

Factor each completely 1 27r 36r 96 3 20n 58n 42 5 100a 180ab 81b 7 8x 32xy 32y 9 125x 216y 11 125a ab 2 20x 58x 42x 4 406 10b 15 6 12n 3m n 8 324y x 400x y 10 2yx 128y4 12 343u 3

Analyze the graph of the function 2 24x 35x 49 2 3x 25x 42 R x a What is the domain of R x 7 O A xlx 0 x and x 6 3 O B xx and x 6 O C 7 7 xx 0 x and x 6 8 D All real numbers

Analyze the graph of the function 2 X X 90 2 x x 72 R x a What is the domain of R x O A xlx 9 and x 8 O B xlx 0 x 9 and x 8 OC xlx 0 x 10 x 9 and x 8 number

Write the radical expression using negative exponents 1

the rest were trucks How many trucks visiting Lana s Car Wash on Saturday TYPE THE NUMBER ONLY Question 4 15 pts

Mr Sanchez is making punch for a party using a recipe that calls for 4 cups of seltzer for every 6 cups of lemonade If he wants to make a total of 120 cups of punch how many cups of seltzer will he need O48 cups of seltzer O 300 cups of seltzer O200 cups of seltzer O 72 cups of seltzer Question 6 15 pts

Write the radical expression using negative exponents 1 8

Twice a number increased by 5 is greater than 3 times the number deceased by 7 Write and solve an inequality to find the highest possible integer solution Type a response

1 f x x 3 f x h f x x h 3 x 3 h h 11 rationalize the numerator and simplify x h 3 x 3 x h 3 x 3 h x h 3 x 3

4 343 7 x y N

XP2 5 x 4 y Ve t 3 125X Y EX A 3

Write the equation of a function with zeroes at x 2 x 0 x 1 x 2 f x

8 9 4 b 34 39 hi

Write the equation of a real function with zeroes at x 4 and x 2 3 The imaginary unit should not be part of the answer f x

The value V of an item after t years is given by the following formula assuming linear depreciation V C Crt where C is the original cost and r is the rate of depreciation expressed as a decimal If you buy a car for 7830 and it depreciates linearly at a rate of 17 per year what will be its value after 9 months Round your answer to the neares

5 Write 2 5 as an entire radical 2 24 1 5 2 4 5 20

Find the range and interquartile range IQR of the data set 21 38 42 37 40 38 24 66 40 54 28 40 Press each hotspot Label the corresponding number below with the requested value Range 1

5 Evaluate 3 2 a b 6 6 9 d

ind the mean median and mode of ne data set 21 38 42 37 40 38 24 66 40 54 28 40 Press each hotspot Label the corresponding number below with the requested value Mean Median T 2 15 FURL

Which graph represents x 5x O 5 4 3 2 1 5 4 3 2 4 1 23 y 2 3 4 5 4 3 2 1 f1 XH 5 4 3 2 1 2 3 1 2 3 1 2 3 X 4 5 X 4 5 5 4 3 2 11 5 4 3 2 1 2 3 4 5t 54 y 21 5 4 3 2 1 y 3 2 23 H 1 H 3 X 1 2 3 4 5 X 1 2 3 4 5

3 4 5 6 7 8 9 6 1 You can order discount movie tickets from a web site for 7 each You must also pay a service fee of 4 You want to spend no more than 40 on movie tickets Write and solve an inequality to find the greatest number of movie tickets that you can order Click on show your work to type or write your work The greatest number of movie tickets she can order is only Type a response enter number

3 4 5 6 7 8 8 Write and solve an inequality that represents how many 20 bills you can withdraw from the account without going below the minimum balance Click on show your work to type or write your work 20 bills enter number only You can withdraw At S Your current balance is 320 00

3 4 5 6 7 8 9 4 Five less than a number is less than or equal to 6 times the number What inequality can be written to represent this statement O5n 6n O5 n 6n On 5 6n n 5 6n ho

14 Write an solve an equation to find the value s of x that make I m Show all work x 3x 10 eins no 19dzeriw saim SSS

Condense into a single logarithm log4 5 log4 b log4 c log4 d O 5bc log4 d log 5be d Olog be d O log 5 b c

Condense into a single logarithm 9 log x 5logy 11 log z O log xy log z11 log 935 211 log 9x5y log 11

Expand the logarithm log2 m n p5 log m log2 n4 log p5 12 log mn 5 log2 P 3 log2 m 4 log2 n 5 log2 p T 3 log2 m 4 log2 n 5 log2 p

Estimate the intercepts of the graph of the function 2 y 2x x 1 4 2 4 6 x The x intercept is about and the y intercept is about

77 4x 5y 5 9 1 9 2x 5y 0 5 3 2 11 y2 x 5 6 5 4 3 2 1 y y 4 4 x X 8 10 12 8 6x y 4 10 y y x 2 2 1 3 12 y2 x 1 2 6 5 4 3 2 1 AV Ay Ay 6 x 6 x 6 x

5 5 y 8x 4 A B C D 2 y y AV 2 4 4 X X X 6 y y 7x 3 A B C D 6 4 12 6 6 44 V A 21 14 12 Ay Ay Ay 2 2 4 6 x 6 x 6 x

3 9x 4y 16 A B C D 46 H 12 165 2 6 14 6 4 1 A T 4 x 6 x 42 x 4 4 y2 A B C D 6 8 6 x 3 6 4 2 4 2 12 y 2 4 x 4 6 x

15 Brad is a wrestler trying to make weight He currently weighs 184 pounds If he cuts 2 pounds per week how many weeks will it take him to weigh no more than 165 pounds Write an inequality to represent this situation use w for the number of weeks Type a response

Translate the verbal phrase into an inequality use x as your variable Don t solve The difference of x and 7 is less than 4 Type a response

4 local gym offers two membership options You can pay 50 for the first three months und 4 for each additional month or you can pay 9 per month Explain to a prospective nember what their decision should be

If two bags of popcorn and three drinks cost 14 and four bags of popcorn and one drink costs 18 how much does a drink cost

6 Find the composite function fog for the functions below its domain and its value at x 2 3 x 3 x f x g x 22x

Simplify the following complex rational expression using either Method I or Method II 1 24 Z 3 1 24 C 6

What is the complex conjugate for the complex number 3 2i Type your answer in a bi form without spaces

Find the quotient of the complex numbers 345 Type your answer in a bi form without spaces Hint You will have fractions in your final answer Check with the teacher if you are unsure hc

Simplify the complex rational expression using either Method I or Method II 2 r r 9 2 2 81 2 r 81 r r 9 1 r 9

5 3147 b 0 5 7 3 8 10 b 8 101 a b

Perform the indicated operation 7 5 p p 42 p 10p 21

Perform the indicated operation d

Perform the indicated operation 8 2 2c c 6 2c 11c 12

Perform the indicated operation y 7 Y y 1 y 7

Perform the indicated operation 10 11t 33 8 t 7t 12

Add 7r t Reduce your answer to lowest term 7r t

wwwww Use the graphs of f and to describe the transformation from the graph of f to the graph of r f x x 2 r x f x 1 The graph of r is a H TH WH H 1 of the graph of f by a factor of T K vertical shrink vertical stretch horizonta