Complex numbers Questions and Answers

Answer the following using interval notation Domain Range 8 6 4 2 O 83 4 6 2 4 2 6 2 4 6 8 I
Algebra
Complex numbers
Answer the following using interval notation Domain Range 8 6 4 2 O 83 4 6 2 4 2 6 2 4 6 8 I
Find two numbers a and b such that the following system of linear equations is consistent independent x 6y 5 ax 3y b Note that the ALEKS graphing calculator may be helpful in checking your answer 11 X
Algebra
Complex numbers
Find two numbers a and b such that the following system of linear equations is consistent independent x 6y 5 ax 3y b Note that the ALEKS graphing calculator may be helpful in checking your answer 11 X
10 Solve and graph 2 x 4 3x 4x 1 2x
Algebra
Complex numbers
10 Solve and graph 2 x 4 3x 4x 1 2x
rag the purple X on the graph below to vary the length of the interval h ii the length of h is 3 iii the length of h is 1 160 y iv the length of h is 0 5 140 120 100 80 60 40 20 h 6 00 4 22 40 2 6 a Use the applet above to determine the value of the difference quotient the average rate of change near the point 4 f 4 whe i the length of h is 5 Preview Preview Preview 10 00 80 00 Preview 8 10 12 14 16 X
Algebra
Complex numbers
rag the purple X on the graph below to vary the length of the interval h ii the length of h is 3 iii the length of h is 1 160 y iv the length of h is 0 5 140 120 100 80 60 40 20 h 6 00 4 22 40 2 6 a Use the applet above to determine the value of the difference quotient the average rate of change near the point 4 f 4 whe i the length of h is 5 Preview Preview Preview 10 00 80 00 Preview 8 10 12 14 16 X
A water tower to located 300 ft from a building see the figuro From a nindon in the building on obiarvor cotos that the angle of civation to the top of the toner is 39 and that the ongle of depression to the bottom of the tonor 25 How tall in the tower Round your answer to the noorest fool X It Nood Help 394 How high is the window Itound your aneuor to the noorest foot X 1 Moall 25 Walth B WATER 3
Algebra
Complex numbers
A water tower to located 300 ft from a building see the figuro From a nindon in the building on obiarvor cotos that the angle of civation to the top of the toner is 39 and that the ongle of depression to the bottom of the tonor 25 How tall in the tower Round your answer to the noorest fool X It Nood Help 394 How high is the window Itound your aneuor to the noorest foot X 1 Moall 25 Walth B WATER 3
A state lotto has a prize that pays 500 each week for 15 years Find the total value of the prize 390000 0 If the state can earn 8 interest on investments how much money will they need to put into an accou now to cover the weekly prize payments
Algebra
Complex numbers
A state lotto has a prize that pays 500 each week for 15 years Find the total value of the prize 390000 0 If the state can earn 8 interest on investments how much money will they need to put into an accou now to cover the weekly prize payments
A train leaves a train station at a constant rate and arrives at its final stop 2 hours later A second train leaves the same station on the same route in 5 hours The first train is traveling 42 mph faster than the second train Find the rates of the both trains Set up a table and solve using an algebraic equation Please write a complete sentence
Algebra
Complex numbers
A train leaves a train station at a constant rate and arrives at its final stop 2 hours later A second train leaves the same station on the same route in 5 hours The first train is traveling 42 mph faster than the second train Find the rates of the both trains Set up a table and solve using an algebraic equation Please write a complete sentence
olve for x 8 8x 15 x 7 Write the exact answer using
Algebra
Complex numbers
olve for x 8 8x 15 x 7 Write the exact answer using
Question 12 3x 12 Given f x 9x 20 asymptotes Determine the de domain all real numbers except x 5 vertical asymptote x 4 and x 5 domain all real numbers except x 4 and vertical asymptote x 4
Algebra
Complex numbers
Question 12 3x 12 Given f x 9x 20 asymptotes Determine the de domain all real numbers except x 5 vertical asymptote x 4 and x 5 domain all real numbers except x 4 and vertical asymptote x 4
Consider the following product to sum formulas sin x sin x costx1 x2 cos x1 x cos x x cos x x sin x x sin x1 x eBook cos x cos x sin x cos x Use one of the formulas above to write the given product as a sum of cosines of a sum of sines sin cos 4 1 Points DETAILS ZILLPRECALC6 4 7 007 Consider the following product to sum formulas sin x sin x cos x x cost
Algebra
Complex numbers
Consider the following product to sum formulas sin x sin x costx1 x2 cos x1 x cos x x cos x x sin x x sin x1 x eBook cos x cos x sin x cos x Use one of the formulas above to write the given product as a sum of cosines of a sum of sines sin cos 4 1 Points DETAILS ZILLPRECALC6 4 7 007 Consider the following product to sum formulas sin x sin x cos x x cost
value zo days after The graph shows the amount of a m injection The amount of the medici the 8 6 150 100 Find the decay factor for each 3 In the first 3 hours increased by a fac 4 In the first 0 5 ho increased by a fac
Algebra
Complex numbers
value zo days after The graph shows the amount of a m injection The amount of the medici the 8 6 150 100 Find the decay factor for each 3 In the first 3 hours increased by a fac 4 In the first 0 5 ho increased by a fac
Click the icon to see the 5 Complete the ratio table for Car A Miles Driven Gallons of Gas 150 225 375 5 10 20 50
Algebra
Complex numbers
Click the icon to see the 5 Complete the ratio table for Car A Miles Driven Gallons of Gas 150 225 375 5 10 20 50
ind the exact value of the following cos 1 1 2
Algebra
Complex numbers
ind the exact value of the following cos 1 1 2
12 Which function best represents the values in the table below f x 27 1 0 8 125 A f x x B f x x C f x X D f x x X 3 1 0 25 5
Algebra
Complex numbers
12 Which function best represents the values in the table below f x 27 1 0 8 125 A f x x B f x x C f x X D f x x X 3 1 0 25 5
A C 3x y 10 4x 4y 8 4 2 1 3 4 3 1 q 4 2 0 2 4 4 2 0 2 4 y y 2 2 4 4 X X B D 1 3 3 1 4 2 4 4 2 O 2 4 2 2 O 2 4 y 2 2 4 4 X X
Algebra
Complex numbers
A C 3x y 10 4x 4y 8 4 2 1 3 4 3 1 q 4 2 0 2 4 4 2 0 2 4 y y 2 2 4 4 X X B D 1 3 3 1 4 2 4 4 2 O 2 4 2 2 O 2 4 y 2 2 4 4 X X
13 Find the domain of the following function x A x x is any real number B x x 0 C x x 7 D x x 7 x 7
Algebra
Complex numbers
13 Find the domain of the following function x A x x is any real number B x x 0 C x x 7 D x x 7 x 7
15 For f x 5x 1 find f 4 A 19 B 1 C 21 D 21
Algebra
Complex numbers
15 For f x 5x 1 find f 4 A 19 B 1 C 21 D 21
A C 11 1 4 x 1 4 2 4 2 0 2 4 4 2 O 2 4 2 2 4 4 x X B D 4 4 2 4 2 O 2 4 4 2 O 2 4 a 2 4 X
Algebra
Complex numbers
A C 11 1 4 x 1 4 2 4 2 0 2 4 4 2 O 2 4 2 2 4 4 x X B D 4 4 2 4 2 O 2 4 4 2 O 2 4 a 2 4 X
6 Graph the equation 3x y 6 A C 12 8 12 8 8 4 40 4 8 12 12 8 4 4 0 4 8 12 4 8 8 12 x 12 x B D 12 8 12 8 4 12 8 4 b 4 do 8 12 12 do 8 4 0 4 8 2 8 12 x 12 x
Algebra
Complex numbers
6 Graph the equation 3x y 6 A C 12 8 12 8 8 4 40 4 8 12 12 8 4 4 0 4 8 12 4 8 8 12 x 12 x B D 12 8 12 8 4 12 8 4 b 4 do 8 12 12 do 8 4 0 4 8 2 8 12 x 12 x
8 8 4 b 3 00 8 6 CH kto do do 6 Oy x 3 3 Oy x 3 3 O y 3 x 3 3 N St 6 8 co X graph
Algebra
Complex numbers
8 8 4 b 3 00 8 6 CH kto do do 6 Oy x 3 3 Oy x 3 3 O y 3 x 3 3 N St 6 8 co X graph
Which expression is equivalent to 16x8y 12 O 4x y6 O 8x y6 4 O 1 2 4x4 y6 8x4
Algebra
Complex numbers
Which expression is equivalent to 16x8y 12 O 4x y6 O 8x y6 4 O 1 2 4x4 y6 8x4
The equation 7 4 shows the relationship between a planet s orbital period T and the planet s mean distance from the sun A in astronomical units AU If planet Y is k times the mean distance from the sun as planet X by what factor is the orbital period increased O 19 O O 112 213 K
Algebra
Complex numbers
The equation 7 4 shows the relationship between a planet s orbital period T and the planet s mean distance from the sun A in astronomical units AU If planet Y is k times the mean distance from the sun as planet X by what factor is the orbital period increased O 19 O O 112 213 K
O Which expression is equivalent to X Y Z 12 112 z N 112 1 2 xz 2
Algebra
Complex numbers
O Which expression is equivalent to X Y Z 12 112 z N 112 1 2 xz 2
Tyna simplified the expression 3x to 12x 2 4 What was Tyna s mistake O She divided the coefficients incorrectly O She added the exponents instead of subtracting them O She divided the coefficients instead of subtracting them She subtracted the exponents instead of dividing them
Algebra
Complex numbers
Tyna simplified the expression 3x to 12x 2 4 What was Tyna s mistake O She divided the coefficients incorrectly O She added the exponents instead of subtracting them O She divided the coefficients instead of subtracting them She subtracted the exponents instead of dividing them
20 What is the purpose of liability coverage A Liability coverage will pay for injuries to persons within a client s vehicle B Financially protects the client for injuries or property damage that is caused to them C Financially protects the client for injuries or property damage they cause to others D None of the above
Algebra
Complex numbers
20 What is the purpose of liability coverage A Liability coverage will pay for injuries to persons within a client s vehicle B Financially protects the client for injuries or property damage that is caused to them C Financially protects the client for injuries or property damage they cause to others D None of the above
17 is the cost imposed by the court on a judgement in a suit defended by the insurance company after the judgement has been entered and before the insurance company offers to pay A Supplementary Payment B Bail Bond C Post Judgement Interest D None of the above
Algebra
Complex numbers
17 is the cost imposed by the court on a judgement in a suit defended by the insurance company after the judgement has been entered and before the insurance company offers to pay A Supplementary Payment B Bail Bond C Post Judgement Interest D None of the above
D None of the above 13 Liability Coverage Part A states that the limits which are shown on the Declaration Page are the minimum amount that will be paid in any one accident regardless of the number of people or cars involved in the loss A True B False
Algebra
Complex numbers
D None of the above 13 Liability Coverage Part A states that the limits which are shown on the Declaration Page are the minimum amount that will be paid in any one accident regardless of the number of people or cars involved in the loss A True B False
Which expression is equivalent to 8 O 325 C 10 325 32
Algebra
Complex numbers
Which expression is equivalent to 8 O 325 C 10 325 32
Which of the following is equivalent to 133 O132 O 1315 O 13 13 513
Algebra
Complex numbers
Which of the following is equivalent to 133 O132 O 1315 O 13 13 513
7 Which of these is not a Group A Exclusions A The Personal Auto Policy won t provide liability coverage B There is coverage for damage to property owned by that insured C This exclusion takes away coverage for damage to a rental vehicle the insured may be driving D All of the above
Algebra
Complex numbers
7 Which of these is not a Group A Exclusions A The Personal Auto Policy won t provide liability coverage B There is coverage for damage to property owned by that insured C This exclusion takes away coverage for damage to a rental vehicle the insured may be driving D All of the above
Which of the following is equivalent to 05 4 54 O O 57 73 5 3
Algebra
Complex numbers
Which of the following is equivalent to 05 4 54 O O 57 73 5 3
1 The Personal Auto Policy provides owned auto per the Other Insurance provision for an A Limited Liability Coverage B Financial Responsibility C Primary Liability Coverage D None of the above
Algebra
Complex numbers
1 The Personal Auto Policy provides owned auto per the Other Insurance provision for an A Limited Liability Coverage B Financial Responsibility C Primary Liability Coverage D None of the above
A Recommending protection that meets the needs of each clients exposures B Understanding the clients asset profiles C Knowing the defense coverage provided D A B only E B C only F All of the above G None of the above
Algebra
Complex numbers
A Recommending protection that meets the needs of each clients exposures B Understanding the clients asset profiles C Knowing the defense coverage provided D A B only E B C only F All of the above G None of the above
coverage for bodily injury has two separate limits per person and per accident ntal 3 With A Combined single limits B Split limits C Stacking limits ed ar D None of the above red for liability cover
Algebra
Complex numbers
coverage for bodily injury has two separate limits per person and per accident ntal 3 With A Combined single limits B Split limits C Stacking limits ed ar D None of the above red for liability cover
16 To understand when these endorsements can provide coverage there are three phases you need to know about A Driver is logged into the mobile app and is available to accept passengers B Driver has accepted a request from a passenger and is on the way to pick up C Starts when the passenger fully exits the vehicle and ends when the new passenger enters the vehicle D A B only E B C only F All of the above
Algebra
Complex numbers
16 To understand when these endorsements can provide coverage there are three phases you need to know about A Driver is logged into the mobile app and is available to accept passengers B Driver has accepted a request from a passenger and is on the way to pick up C Starts when the passenger fully exits the vehicle and ends when the new passenger enters the vehicle D A B only E B C only F All of the above
10 Important factors to consider when discussing liability limits A The frequency and severity of damage caused by a distracted driver B The reaction time of a sleepy driver C The cost of medical care D A B only E B C only F All of the above G None of the above
Algebra
Complex numbers
10 Important factors to consider when discussing liability limits A The frequency and severity of damage caused by a distracted driver B The reaction time of a sleepy driver C The cost of medical care D A B only E B C only F All of the above G None of the above
2 It is in the best interest of your client to select the highest limits of coverage they can comfortably afford A True B False
Algebra
Complex numbers
2 It is in the best interest of your client to select the highest limits of coverage they can comfortably afford A True B False
9 Prejudgement interest is an accumulation of interest on money awarded by the court had the injured party received the money on the first day of their injury rather than having to wait on legal proceedings A True B False
Algebra
Complex numbers
9 Prejudgement interest is an accumulation of interest on money awarded by the court had the injured party received the money on the first day of their injury rather than having to wait on legal proceedings A True B False
Solve the equation 1 2 r r 6 2 5r 1 2 5r
Algebra
Complex numbers
Solve the equation 1 2 r r 6 2 5r 1 2 5r
12 6400 1 6 22 2 x 3x 21 22 21 21 9 2 x 3x 1 2 1 2 13 42 x 1 8028 X 2 X 1 5 1 8029 16 1 5 1 5 1 1076 0 3 49
Algebra
Complex numbers
12 6400 1 6 22 2 x 3x 21 22 21 21 9 2 x 3x 1 2 1 2 13 42 x 1 8028 X 2 X 1 5 1 8029 16 1 5 1 5 1 1076 0 3 49
Simplify 10 2i 2i O 5 i i O1 5i O 1 5i 0 1 O
Algebra
Complex numbers
Simplify 10 2i 2i O 5 i i O1 5i O 1 5i 0 1 O
What is the complex conjugate of 2 i O 1 2i O2 i O 2 i O 2 i
Algebra
Complex numbers
What is the complex conjugate of 2 i O 1 2i O2 i O 2 i O 2 i
Multiply and simplify 2 i 7 3i O 14 i 3i O 17 i 09 2i O 17
Algebra
Complex numbers
Multiply and simplify 2 i 7 3i O 14 i 3i O 17 i 09 2i O 17
Simplify and write your answer in the form a bi 5 2 i O 2 i O 10 5i 5 10 i O 2 i
Algebra
Complex numbers
Simplify and write your answer in the form a bi 5 2 i O 2 i O 10 5i 5 10 i O 2 i
expression 8 2i 2 4i 5 4i O 11 2i O 1 6i O 1 2i O 11 6i
Algebra
Complex numbers
expression 8 2i 2 4i 5 4i O 11 2i O 1 6i O 1 2i O 11 6i
How would the imaginary number i be writte as a complex number O 7 2i O zi O 7 2 0 1 2 i
Algebra
Complex numbers
How would the imaginary number i be writte as a complex number O 7 2i O zi O 7 2 0 1 2 i
Which of the following shows 49 simplified and written as a complex number O 49i O 7 i O 7i O 0 7i
Algebra
Complex numbers
Which of the following shows 49 simplified and written as a complex number O 49i O 7 i O 7i O 0 7i
For each of the following rational expressions determine the values for which the expression is undefined 14m 13n A The expression B The expression C The expression is undefined when 6y 5 20y 18 b 19 h 81 is undefined when is undefined when
Algebra
Complex numbers
For each of the following rational expressions determine the values for which the expression is undefined 14m 13n A The expression B The expression C The expression is undefined when 6y 5 20y 18 b 19 h 81 is undefined when is undefined when
Rationalize the denominator and simplify 2 6 6 6 O O O O 2 6 3 2 6 2 3 2 6 6 2 2 6
Algebra
Complex numbers
Rationalize the denominator and simplify 2 6 6 6 O O O O 2 6 3 2 6 2 3 2 6 6 2 2 6
5 10 20 Not drawn to scale A AS Postulate B AA Postulate What are the coording simieson ott voln 0282 aula Na C SAS The D SSS Thec
Algebra
Complex numbers
5 10 20 Not drawn to scale A AS Postulate B AA Postulate What are the coording simieson ott voln 0282 aula Na C SAS The D SSS Thec