Complex numbers Questions and Answers

Evaluate each expression using the values given in the table 1 2 3 6 0 2 02 1 4 X f x g x a fog 1 d gof 3 a fog 1 b fog 2 c gof 2 d gof 3 e gog 1 f fof 3 3 2 10 8 4 1 0 1 4 2 0 b fog 2 e g o g 1 c gof 2 f fof 3

Rewrite 32 O A 1 2 5 Select the correct choice below and fill in any answer boxes in your choice with positive exponents and completely simplify if possible 1 2 5 11 Simplify your answer Type an integer or a fraction 32 OB The solution is not a real number

Use a calculator to write 7 as a decimal

Use a calculator to find 25 251 1 5 Jound th 1 5 root hundredth

3 5 Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11 5 3v 7v 6v v 8v A 64 3 62 B 6v 9 6v C 6v 9v D 6 5 6v 4 10v 4 6 4 8a a 5a 3a 7a A 5a 11a 2a B 5a 19a 3a C 5a 11a 3a D a 1la 2a 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3 13 4x

Determine the zeroes for the following polynomial function Write your answers as integers or fractions in order from least to greatest f x x x 3 2z 1

In 1985 there were 285 cell phone subscribers in the small town of Centerville The number of subscribers increased by 75 per year after 1985 How many cell phone subscribers were in Centerville in 1994

What is the inverse of the function g x x 2 3 g x x 2 g x x 1 3 0 g x x 2 1 Oq x x 2

ach system by substitution or 3x 8y 22 x y 118 3x 22 3 x 18 88 66 la bb T F 6 y 2x 6 x 3y 17 x 3 2x 6 17 6 18 1 6 y 11 6 6 y 5 Sx 18 12 118 117 7 8 Sx 35 SS 7y 3 x 8y 15 0x 1869 24 4x6x 105 x 81 7 8 x 4 elimination y 2 6 181 9 14 8x 6y 10 6x 7y 15 16 18 saj ly 3 45 74 3 45 45 7x y 14 14x 4y 28 24 42 7 y 6x 5 2x 4y 20

Solve each system by substitution or 7 4x 7y 171 x 2y 5 4 4 79 1 4 89 20 7 3 9 5x 5y 10 y 6x 19 5x s 6x 14 0 Sx 30x 5 10 3SX 95 0 43 45 30 38 34 9 9 135x 005 x 3 200 elimination 11 Ax 10y 28 5 5x 4y 16 4 px soy 140 5X 357 2 6y 3 1 SX 0 S S X 8 8 y 3x 5 7x 3y 9 10 9x 6y 15 8x 5y 12 12 9x 6y 24 18x 7y 28

Let p represent the following statement p Saturn is the only planet with rings Express the symbolic statement p in words In words the symbolic statement p is which of the following A Saturn is often the only planet with rings OB Saturn is a planet with rings OC Neptune is the only planet with rings D Saturn is not the only planet with rings

Let p and q represent the following simple statements p The chair is broken q I eat bananas Write the following compound statement in its symbolic form If the chair is not broken then I do not eat bananas Choose the correct symbolic form below Op q p q p q p q www

Let p and q represent the following statements p The vest is tan q The shoe is black Write the compound statement p q in words Choose the correct answer below A The vest is not tan and the shoe is black OB The vest is tan and the shoe is black OC If the vest is not tan then the shoe is black D The vest is not tan or the shoe is black Next question www

Consider the statements p The hat is tan q The vest is red Rewrite the statement PAq in English What is the English version of the statement p q A If the hat is not tan then the vest is red OB The hat is tan and the vest is red OC The hat is not tan or the vest is red D The hat is not tan and the vest is red

Select the correct choices that complete the sentences below a The conditional is symbolized by and is read b The biconditional is symbolized by and is read a The conditional is symbolized by and is read if and only if but or and if then

Select the correct choices that complete the sentences below a The negation is symbolized by and is read b The conjunction is symbolized by A and is read c The disjunction is symbolized by v and is read a The negation is symbolized by and is read w but or if then and if and only if

Give me a glass of water Is the given sentence a statement O No O Yes Next questie

Polynomial Subtraction Simplify each difference 1 8x 8 8x 8 8x 7x B 23x 6 D 23x A 23x 14 C 15x 2 2 8 8r 7r 6r 1 A 10 7 C 6r 7 B 6 2r 7 D 6r 3r 7

1 11 x 5x5 2x4 2x 8x A 3x5 10x4 6x B 3x 10x x C 5x 10x4 x D 3x 10x42x

12 12 7v4 4 8v4 2v A 15v4 4 B 22 4 4 C 15v4 3v 4 D 224 3v 4

8 92x 92x 59x4 42x 40x5 18x 42x 98x A 73x 59x 60x 190x 42x B 132x5 59x4 60x 190x 42x C 99x5 59x4 60x 190x 42x D 160x 59x4 60x 190x 42x

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11 5 3v 7v4 6v v 8v A 6v3v 6v B 6v4 9v 6v C 6v49v 10v D 6v4 5v 6v 4 6 4 8a a 5a 3a 7a 11a 2a 19a 3a A 5a B 5a C 5a 11a 3a D a 11a 2a 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3x 13x 4x 7 30r4 145 22 41r 77 26 75r 70r4 A 185r 100 73r 41r 33 B 895 100r4 73 41 33 C 895 100r4 26 41 55 D 89 100r4 73r 41r 55

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11

Find the work done in pushing a car along a level road from point A to point B 82 feet from A while exerting a constant force of 90 pounds Round to the nearest foot pound The work done is foot pounds

Find the inverse function of the function below f x 2 e 2

4 The range of the functionf x x 31 5 is 1 5 00 2 5 00 3 3 00 4 3 00

Solve the exponential equation Express the solution in terms of natural logarithms Then use 10 3 08 What is the solution in terms of natural logarithms X What is the decimal approximation for the solution X Round to two decimal places

Name the parent function describe the transformations 1 x 3 4 3 2 x 2 7 2 2 x 1 5

Determine the surface area of the solid obtained by rotating the following parametric curve about the x axis x cos 0 y sin 0 0 0

100 The matrix P 0 3 8 is the transition matrix from what 0 1 1 basis B v1 v2 v3 to the basis 1 1 1 1 1 0 1 0 0 for R v 1 1 1 V2 27

Write as a single logarithm with coefficient 1 Simplify as much as possible log 3x 2 2loglx 1 loglx 2

2 f x 2 2 X 2 a f g 2 11 g x c fg 2 2 Domain 4 4 x x Domain 2 X X X N 2 b f g 2 2 2 Domain d flg 2 2 11 X X 4 2 x 11 Domain x0

with the following properties 1 Degree is 6 2 The zeros of P are 0 1 and 2 3 0 is a zero of multiplicity 1 1 is a zero of multiplicity 2 and 2 is zero of multiplicity 3 4 As x the values off 0 5 P 1 4

Which of the following substitutions can be used to evaluate x x 4x 13 d x 23 tano x 4x 13 tane

Give the next two terms in each set Clearly number your answers For example Set D 21 and 24 Set E 5 and 10

1 point Find the area of the surface obtained by rotating the curve x 5e y from y 0 to y 9 about the y axis The area is squar

Find the volume of the parallelepiped with one vertex 2 2 0 and adjacent vertices 6 4 2 3 4 1 and 7 3 2 Volume

Which graph represents the function f x 3 O 5 y 4 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 X

What is the asymptote of the graph of g x 3 6 O y 3 O y 4 O y 5 O y 6

A screwdriver is dropped from the top of an elevator shaft Exactly 5 0 seconds later the sound of the screwdriver hitting bottom is heard How deep is the shaft The shaft is approximately Round to the nearest tenth feet deep 5 Hint The distance that a dropped object falls in t seconds is representee the formula s 16t2 The speed of sound is 1100 ft sec

Aki s Bicycle Designs has determined that when x hundred bicycles are built the average cost per bicycle is given by C x 0 5x 0 8x 1 812 where C x is in hundreds dollars How many bicycles should the shop build to minimize the average cost per bicycle The shop should build bicycles

17 Find all roots of the equations a z4 222 4 0 b w w 1 0 c z 1 0 d z 22 522 8 4 0 e 3 12z 10 0

Sketch the graph of each linear inequality 1 3x y 2 A B C D 14 4y y X 2

Write each expression in radical form Skip this section 13 5x 4 14 5x 3 15 10n 16 as

provided Each letter can only be used once Do not use a calculator or desmos to draw the graph llowing graphs with the correct function by placing the letter of the graph on the line H 3 f x x 1 E 4 f x x 1 B 5 f 5 f x x 2x 1 q 1 x 1 x 1 b 2 C 1 G 6 f x x 2x 1 x 1 x 1 7 f x x 2x 2 9 1 b 1 C O c 2 8 f x x 2x x b 2 f 1 1 1 1 12 2a 2 1 0 12 x 12 a l 6 2 x 2 a 1 1 1 2 1 2 0 10 f x x 2x 2 x 1 x 2 1 0 x b 2 a x 2 a 22 2 1 1 2 1 3 C O D 9 f x x 2x 20 2 1 f 1 1 1 2 1 1 1 1 1 0 2 0 1 1 1 3 x 1 1

One root of the quartic equation 3z 4 14z 3 48z 2 3OZ 13 0 is a complex number 2 3i Show that when plotted on an Agrand Diagram the roots of the quartic equation form the vertices of a trapezium and calculate the exact area of the

x y z 0 Submit Question Question 7 0 2 pts 54 Det Find the least squares regression line for the following set of points in R 1 1 6 1 and 1 6 Let the regression line be given by y mx b Enter the values for m and b below

Simplify each expression a log a b blog 2 c eln 7 d 10log 3

Which of the following is equivalent to the expression below Select all that apply log 7 log 6 log 7 log 10 log 4 log 7 logs 6 log 7 log 6 log In 7 In 2 In 3

Which of the following is equivalent to the expression below Select all that apply In 4x 5 ln 4x 5 ln 4 ln x ln 4 5 ln x In 4 In 25 5 ln 4 5 ln x