Complex numbers Questions and Answers

Find the quotient If the quotient is a repeating decimal write the answer with a bar over the repeating digit or digits 0 056 0 07 Select the correct choice below and if necessary fill in the answer box to complete your choice A The quotient is a terminating decimal 0 056 0 07 Type a whole number or a decimal B The answer is a repeating decimal 0 056 0 07 0 8 C The answer is a repeating decimal 0 056 0 07 1 83

Express 23 02 as a decimal 23 02 Simplify your answer

f x 3x 2x 74x50x 25 a Find the rational zeros of f x and then the other zeros b Factor f x into linear factors a Find the rational zeros of f x Select the correct choice below and if necessary fill in the answer boxes to complete your choice A The rational zeros are Use a comma to separate answers as needed Express complex numbers in terms of i OB There are no rational zeros

a Find the rational zeros and then the other zeros of the polynomial function f x x 73x 72 that is solve f x 0 b Factor f x into linear factors a Select the correct choice below and fill in any answer box es within your choice Type integers or fractions Use a comma to separate answers as needed Type exact answers using radicals as needed Express complex numbers in terms of i OA There are only rational zeros and the zeros are OB The rational zeros are and the other zeros are OC There are no rational zeros The other zeros are

What does Descartes rule of signs tell you about the number of positive real zeros and the number of negative real zeros of the function 2 F p 3p 2p 9p p 5 4 What is the number of positive real zeros OA 2 OC 0 OB 1 or 0 OD 2 or 0

Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros Find the other zeros 3 3i 4 5 The other zeros are Use a comma to separate answers

C y 4 x 5 D y 4 5 x 5 D y 2 x 1 Write the point slope form of the equation of the line through the given points 5 through 0 1 and 5 4 6 6 through 5 1 and 3 5 A y x 1 A y 1 x 5 B y x 1 C y 1 x D y x 1 B y 5 c y 1 x 1 x 5 2 D y 5 x 1

11 11 Slope y intercept 0 A y 0 C 0 x B y D y 2x 12 12 Slope 2 y intercept 1 A 1 2x C y 1 4x B y 1 5x D y 1 4x

Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros Find the other zero 3 3 1 2i 2 The other zero is

Find a polynomial function of degree 6 with 1 as a zero of multiplicity 3 0 as a zero of multiplicity 2 and 1 as a zero of multiplicity 1 The polynomial function in expanded form is f x Use 1 for the leading coefficient CASTE 100 S

Write a polynomial function in standard form with real coefficients whose zeros include 2 6i and 6i A polynomial function with zeros 2 6i and 6i is f x x x x

Find a polynomial function of degree 3 with real coefficients that has the given zeros 2 3 5 The polynomial function is f x x x 11x 30

Complete the parts listed below for f x x 2x 9x 18 a Find all zeros of f x b Write the complete factored form of f x

5 10 Points https www webassign net web Student Assignment Responses submit dep 32224 PREVIOUS ANSWERS The graph of a function g is given range X DETAILS domain a Find g 4 g 2 g 0 g 2 and g 4 g 4 5 g 2 4 g 0 0 g 2 3 g 4 J 2 3 y 0 5 3 3 b Find the domain and range of g Enter your answers using interval notation 3 SALGTRIG4 2 3 008 MI X c Find the values of x for which g x 5 Enter your answers as a comma separated It

A theater has 38 rows with 24 seats in the first row 28 in the second 32 in the third and so forth How many seats are in the theater

Solve the system using elimination 10x 4y 14 25x 10y 35 Choose the correct answer below OA There are infinitely many solutions

Solve the system of equations using substitution y x 2 3x 3y 6 Select the correct choice below and fill in any answer boxes in your choices OA The solution of the system is B There are infinitely many solutions C There is no solution Type an ordered pair

9 Fill in the integer values of each square root on the number line 0 VI 10 5 Between 13 Between r line above to 4 ann and 9 Use the number line above to help determine the two positive integers each square roc between and 5 What two integers is 15 between Which integer is it closer to aproximate 15 to the nearest tenth 16 25 36 and 49 13 26 Between 11 59 Between and 20 64 and

10 8 6 4 2 10 8 6 4 2 Slope 2 4 6 8 10 2 4 What is the slope of the graph Leave your answer as a reduced fracti 6 8 10 Identify the y intercept Write as a coordinate

Find an equation of the line that has a slope of 6 and a y intercept of 0 5 Write your answer in the form y mx b y

Find the area of a triangle with sides of length 14 and 20 and included angle 27 degrees Round to the tenths

2x 4 3 Find fog 2 and f g 2 Let f x and g x 3x 3

Use the graphs of f x and g x below to fill in the blanks that follow f g 0 fg 2 f g 3 f g 4 G g 4 W 4 20 2 671 6 0 If 4 6 X

Use a calculator to find a decimal approximation of cos 3 sin 3 Round to four decimal places as needed 22 cos 3 sin 3 Simplify the expression first

Question Use a calculator to find a decimal approximation for each value cot 264 26 cot 264 26 Simplify your answer Round to seven decimal places as needed

Use a calculator to evaluate the expression cos 35 sin2 35 cos 35 sin 35 Simplify your answer

Find the exact values of the six trigonometric functions 690 1 Question 12 2 2 29 Part 3 of 6 the angle cos 690 Points 0 17 of 1 sin 690 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators 3 2 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators tan 690 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators

Amount of Commission 5 0 Commission on Purchases 80 6 Amount of Purchase 5 1 What information do you see on the axes of the graph What relationship is being shown JF Y 2 Construct a table for the relationship 3 How do you know that the relationship in the graph above is proportional 4 What is the rate of change shown in the graph above 5 If a salesman wants to earn 90 in commission how many purchases would they have to oversee 6 If a salesman sells 800 worth of goods how much money would they earn in commission

d e c 10 0 15 5 a b X y 5 ful for you An example of a table has been provided for line a Anch of the lines shown below You may make a table if that Y x 5 2 5 or 2 5 2 FIVE LINES GRAPH b a 10 0 0 15 2 5 20 4 10 6 15 equation y 2 5x or y 5 x 2

Evaluate the expression 2 tan 2120 5 sin 150 cos 180 2 tan 2120 5 sin 2150 cos 2 180 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Evaluate the expression sin 2225 cos2225 sin 2225 cos2225 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Jamilla was moving to a new city She researched the rates charged by the local utility company for water She found the listing of charges below She expects that her family may use up to 1 000 cubic feet of water each month 12 70 monthly service fee First 300 cubic feet of water used 3 90 per 100 cubic feet or fraction thereof After the first 300 cubic feet 5 20 per 100 cubic feet or fraction thereof a Sketch a graph of the cost of Jamilla s possible water usage in one month Be sure to consider what the cost would be for partial units such as 220 or 675 cubic feet of water Hint a This will be a step graph What is the cost if no water is used but there is service More Help a When sketching this graph note that the price jumps from 3 90 to 5 20 after 300 cubic feet of water is used b Is this graph a function Why or why not CHint b c What are the domain and range of this graph

7B HW The scatterplot provided shows a set of data Choose the best description for the trend of the data Choose the correct answer below O A increasing linear OB U shaped OC decreasing linear O D exponential Ay 24 20 16 12 8 4 0 0 N 2 A 4 6 8 X 10 Q

The scatterplot provided shows a set of data Choose the best description for the trend of the data Choose the correct answer below OA U shap OB decreasing linear OC increasing linear OD exponential 12 10 2 10 5

Decide whether the given ordered pair is a solution of the given system 3 4 x y 1 5x 3y 13 Is the ordered pair a solution to the system of equations OYes O No

VB HW Solve using the multiplication property 9x 45 Question 3 R The solution set is

dealership wants to try out a new leasing arrangement which will allow a buyer to trade a car back to the dealership for a certain amount of credit at any ti throughout the first four years of ownership For a car in good condition the arrangement will value the car at depreciate the value of the car linearly over the course of the four years What is the value of a car with initial purchase price P at the end of the third year Write the original price at the end of four years and 4 answer as an expression in terms of P Write the exact answer Do not round swer BEER Keyboard

1 point Write each of the summations in expanded form a 2 k 1 n 1 b k 4 0 2 O 4 1 8 1 2 2 n

About the sequence x kEZ we have the following a x 1 Bxo b for each t 10 b t b MKk b x 0 x 1 k 1 11 b t b k20 c x k Z is uniformly Cauchy on t b t b verification of these properties is left for the reader We consider the uniform limit of the sequence x 1 8 to 8 B x b n which is given by x t lim x 1 tet b t b Thus x 1 lim x 1 Finally the validity of this integral equation has the following two implications X t x f s x s ds x 0 x x lim ff s x s ds x lim f s x s ds x f f s lim x s ds x ff s x s ds Thus the function rx 7 satisfying the integral equation x 1 x f f s x s ds for all 1 t b t b 2 f s x s ds ff s x s ds f 1 X 1 This now proves that the curve X 10 8 4 82 thus obtained is a solution of the initial value problem dt 0

About the sequence x keZ we have the following a x 1 EB x b for each te to b t b MKk X 00 017 te to b t bk20 k 1 c x keZ is uniformly Cauchy on t b t b verification of these properties is left for the reader We consider the uniform limit of the sequence x 1 8 to 8 Bx b n which is given by x1 lim x 1 tet b to b b Thus x t lim x ff s x s ds S 8 X 1 de x lim ff s x s ds x flim f s x s ds x f f s lim x s ds x ff s x s ds Thus the function tx t satisfying the integral equation x 1 x f f s x s ds for all t 1 b t b Finally the validity of this integral equation has the following two implications 1 2 x s ds X t xo f s x s ds x 0 x dt 0 s x s ds 1 X 1 dt This now proves that the curve X 1 8 4 82 thus obtained is a solution of the initial value problem

Problem 11 a For what values of a b and c is the following matrix symmetric 7a 2b Problem 11 a 3 a a 5b d 7a c 2 a a 5b C b An nxn matrix A is called skew symmetric if AT A What values of a b c and d now make th following matrix skew symmetric a 7a c 0 C 7a 2b 11 3d 0 Enter your answer symbolically as in these examples separate your answers with a comma

Determine whether the sequence of vertices is an Euler circuit LUI E D C D E A B C Yes B O No

Determine whether the given path is an Euler Path an Euler Circuit or neither C O Euler path Oneither E F G E D G B C D B A O Euler circuit B CD

Use the graph below to answer the question 20 TE TE THE RE true D GF is a bridge false E G H F

Determine whether the graph has an Euler path Euler circuit or neither If the graph has an Euler path or circuit use Fleury s algorithm to find one B A Oneither E Euler path A B C A D C E F D F E D B Euler circuit A B D F D E C D A C B A

Determine how many vertices and how many edges the graph has 0 B OD 8 vertices 9 edges 9 vertices 8 edges O 9 vertices 9 edges O 9 vertices 7 edges F G H 1

Find all vectors in R perpendicular to v Draw a sketch of you answer in part 1 Include v in your ske 3

2 ABCD is a parallelogram m DAB x and m ABC z Find the values of w x y and z 2w W x 11 12 34 23 12

Use the slope and y intercept to graph the line whose equation is y x 1 Use the graphing tool to graph the line Use the slope and y intercept when drawing the line Click to enlarge graph F16 112 E4 Z 20 16 12 8 8 12 16

sume that an economy is based on two industrial sectors agriculture A and energy E The technology matrix Mi A E 1 A E 0 6 0 1 0 2 0 4 M ow much input from A and E are required to produce a dollar s worth of output for A he input from A required to produce a dollar s worth of output for A is he input from E required to produce a dollar s worth of output for A is