Algebra Questions
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![Which is a factor of 15xy 45x 6y 18 Oy 2 O 5x 3 O 5x 2 Oy 6](https://media.kunduz.com/media/sug-question-candidate/20231107032453228452-5941211.jpg?w=256)
![Factor completely 5x2 50x 120 O5 x 3 x 8 O 5x 15 x 8 O x 4 5x 30 05 x 4 x 6](https://media.kunduz.com/media/sug-question-candidate/20231107032508626310-5941211.jpg?w=256)
![Determine whether or not the sentence is a statement Jonathan will meet Dana at 8 00 Is the given sentence a statement O O O No because it is a command It cannot be determined with further information No because it could be labeled as true or false Yes because it could be labeled as true or false quest estion](https://media.kunduz.com/media/sug-question-candidate/20231107024814636874-4936266.jpg?w=256)
Algebra
Complex numbersDetermine whether or not the sentence is a statement Jonathan will meet Dana at 8 00 Is the given sentence a statement O O O No because it is a command It cannot be determined with further information No because it could be labeled as true or false Yes because it could be labeled as true or false quest estion
![Find the mA ENTER A NUMBER ONLY A 2x 135 2x 5](https://media.kunduz.com/media/sug-question-candidate/20231107023153316424-6228196.jpg?w=256)
![The circumference of a circle is 13 inches Find the radius Step 2 of 3 Without substitution solve the formula chosen in the previous step for the unknown variable in terms of the known variable s](https://media.kunduz.com/media/sug-question-candidate/20221031210005648331-3418107.jpg?w=256)
Algebra
Quadratic equationsThe circumference of a circle is 13 inches Find the radius Step 2 of 3 Without substitution solve the formula chosen in the previous step for the unknown variable in terms of the known variable s
![e number N of cars produced at a certain factory in 1 day after t hours of operation is given by N t 600t 10t t 10 If the cost C in dollars of producing N cars is C N 15 000 3000N find the cost C as a function of the e of operation of the factory hat is the cost C as a function of the time t of operation of the factory](https://media.kunduz.com/media/sug-question-candidate/20231107013352747372-4144376.jpg?w=256)
Algebra
Quadratic equationse number N of cars produced at a certain factory in 1 day after t hours of operation is given by N t 600t 10t t 10 If the cost C in dollars of producing N cars is C N 15 000 3000N find the cost C as a function of the e of operation of the factory hat is the cost C as a function of the time t of operation of the factory
![Cos 0 sin for the scalar variable 0 Find the characteristic polynomial ercise 12 3 4 Consider the matrix Re sin 0 Cos v choose 3 and solve for the the eigenvalues and try to solve for eigenvectors](https://media.kunduz.com/media/sug-question-candidate/20231107010026226709-4641188.jpg?w=256)
Algebra
Matrices & DeterminantsCos 0 sin for the scalar variable 0 Find the characteristic polynomial ercise 12 3 4 Consider the matrix Re sin 0 Cos v choose 3 and solve for the the eigenvalues and try to solve for eigenvectors
![Exercise 12 3 5 Let A V V be a linear map with eigen pair x A EV x R Prove the following A is an eigenvalue of A A 1 is an eigenvalue of A I where I V V is the identity map If A is invertible then X is an eigenvalue for A](https://media.kunduz.com/media/sug-question-candidate/20231107005948786016-4641188.jpg?w=256)
Algebra
Matrices & DeterminantsExercise 12 3 5 Let A V V be a linear map with eigen pair x A EV x R Prove the following A is an eigenvalue of A A 1 is an eigenvalue of A I where I V V is the identity map If A is invertible then X is an eigenvalue for A
![9 If g x 8x and f x log 2x then f g x 1 4log x 1 3 2 3log x 1 2 3 log x 2 4 6log x 4](https://media.kunduz.com/media/sug-question-candidate/20231107005223382853-6207566.jpg?w=256)
Algebra
Sequences & Series9 If g x 8x and f x log 2x then f g x 1 4log x 1 3 2 3log x 1 2 3 log x 2 4 6log x 4
![10 5 2 Compute the characteristic polynomial and solve for th 17 18 4 genvalues For each eigenvalue find a basis for the eigenspace xercise 12 3 3 Consider the matrix A 8 2](https://media.kunduz.com/media/sug-question-candidate/20231107005858168300-4641188.jpg?w=256)
Algebra
Matrices & Determinants10 5 2 Compute the characteristic polynomial and solve for th 17 18 4 genvalues For each eigenvalue find a basis for the eigenspace xercise 12 3 3 Consider the matrix A 8 2
![Find functions f and g so that fog H H x 4x 6 Choose the correct pair of functions O A f x x g x x 6 4 B f x 6 g x x 4 OC f x x g x 4x 6 O D f x 4x 6 g x x](https://media.kunduz.com/media/sug-question-candidate/20231107013430664702-4144376.jpg?w=256)
Algebra
Complex numbersFind functions f and g so that fog H H x 4x 6 Choose the correct pair of functions O A f x x g x x 6 4 B f x 6 g x x 4 OC f x x g x 4x 6 O D f x 4x 6 g x x
![xercise 12 3 2 Consider the matrix A 2 or each eigenvalue find a basis for the eigenspace 4 Compute the characteristic polynomial and solve for the eigenvalues](https://media.kunduz.com/media/sug-question-candidate/20231107005756628264-4641188.jpg?w=256)
Algebra
Matrices & Determinantsxercise 12 3 2 Consider the matrix A 2 or each eigenvalue find a basis for the eigenspace 4 Compute the characteristic polynomial and solve for the eigenvalues
![Exercise 12 3 1 Consider the matrix A x1 1 0 0 1 2 1 1 R R Verify the the following are eigenvectors and find their corresponding eigenvalues 0 0 x2 x3 2 1](https://media.kunduz.com/media/sug-question-candidate/20231107005713908509-4641188.jpg?w=256)
Algebra
Quadratic equationsExercise 12 3 1 Consider the matrix A x1 1 0 0 1 2 1 1 R R Verify the the following are eigenvectors and find their corresponding eigenvalues 0 0 x2 x3 2 1
![if x 5 3a Three times the sum of 8 and x 3b Evaluate if x 3 3c Evaluate if x 10](https://media.kunduz.com/media/sug-question-candidate/20231107010353272700-6098643.jpg?w=256)
Algebra
Complex numbersif x 5 3a Three times the sum of 8 and x 3b Evaluate if x 3 3c Evaluate if x 10
![10 Evaluate if x 10 1C Evaluate if x 2 acredion 1d Evaluate if x equals one half](https://media.kunduz.com/media/sug-question-candidate/20231107010315974057-6098643.jpg?w=256)
Algebra
Complex numbers10 Evaluate if x 10 1C Evaluate if x 2 acredion 1d Evaluate if x equals one half
![5 points If f z 22 1 and g z z 1 then the product f g 22 2 z 1 True False and its domain is all real numbers](https://media.kunduz.com/media/sug-question-candidate/20231107010255327462-6217830.jpg?w=256)
Algebra
Complex numbers5 points If f z 22 1 and g z z 1 then the product f g 22 2 z 1 True False and its domain is all real numbers
![2a Twelve less than the quotient of x and 10 X 12 10 2b Evaluate if x 20](https://media.kunduz.com/media/sug-question-candidate/20231107010339430536-6098643.jpg?w=256)
Algebra
Permutations and Combinations2a Twelve less than the quotient of x and 10 X 12 10 2b Evaluate if x 20
![Evaluate each of the following a 97 i](https://media.kunduz.com/media/sug-question-candidate/20231107005042678195-4270279.jpg?w=256)
![Let g x f 2x 1 1 Find the domain And range of g x 3 2 1 f x a 4 points Compute f f f 4 0 2 1 2 b 5 points Find the domain and range of f x 3 I c 5 points Let g x f 2x 1 1 Find the domain and range of g](https://media.kunduz.com/media/sug-question-candidate/20231106224342986420-6224793.jpg?w=256)
Algebra
Complex numbersLet g x f 2x 1 1 Find the domain And range of g x 3 2 1 f x a 4 points Compute f f f 4 0 2 1 2 b 5 points Find the domain and range of f x 3 I c 5 points Let g x f 2x 1 1 Find the domain and range of g
![The speeds of cars on a road are approximately normally distributed with a mean a What is the probability that a randomly selected car is going between 61 and 66 km hr Round your answer to four decimal places P eTextbook and Media 58 km hr and standard deviation 6 4 km hr b What fraction of all cars are going slower than 51 km hr Dound your answer to three decimal places](https://media.kunduz.com/media/sug-question-candidate/20231106235450634831-5941274.jpg?w=256)
Algebra
Complex numbersThe speeds of cars on a road are approximately normally distributed with a mean a What is the probability that a randomly selected car is going between 61 and 66 km hr Round your answer to four decimal places P eTextbook and Media 58 km hr and standard deviation 6 4 km hr b What fraction of all cars are going slower than 51 km hr Dound your answer to three decimal places
![2b Evaluate if x 20](https://media.kunduz.com/media/sug-question-candidate/20231106234921744837-6098643.jpg?w=256)
![2a Twelve less than the quotient of x and 10](https://media.kunduz.com/media/sug-question-candidate/20231106234903080214-6098643.jpg?w=256)
![6 5 3 2 1 Amplitude Period Based on the graph above determine the amplitude midline and period of the function Midline y 2 2 4 3 4 5](https://media.kunduz.com/media/sug-question-candidate/20231106235937264945-6224793.jpg?w=256)
Algebra
Quadratic equations6 5 3 2 1 Amplitude Period Based on the graph above determine the amplitude midline and period of the function Midline y 2 2 4 3 4 5
![evaluaas ever coich 1d Evaluate if x equals one half](https://media.kunduz.com/media/sug-question-candidate/20231106234757099470-6098643.jpg?w=256)
![3c Evaluate if x 10](https://media.kunduz.com/media/sug-question-candidate/20231106235026483019-6098643.jpg?w=256)
![3b Evaluate if x 3](https://media.kunduz.com/media/sug-question-candidate/20231106235016081756-6098643.jpg?w=256)
![3a Three times the sum of 8 and x](https://media.kunduz.com/media/sug-question-candidate/20231106235003184167-6098643.jpg?w=256)
![The diagram shows a platform The platform has supports that are fixed to both a wall and the ground Q1 Calculate the angle 0 Platform 1 1 29 27 0 6 2 2 A 0 B Ground level](https://media.kunduz.com/media/sug-question-candidate/20231106224044719733-6223308.jpg?w=256)
Algebra
Sequences & SeriesThe diagram shows a platform The platform has supports that are fixed to both a wall and the ground Q1 Calculate the angle 0 Platform 1 1 29 27 0 6 2 2 A 0 B Ground level
![1 c Evaluate if x 2](https://media.kunduz.com/media/sug-question-candidate/20231106234718817105-6098643.jpg?w=256)
![16 Evaluate if x 10](https://media.kunduz.com/media/sug-question-candidate/20231106234658278961-6098643.jpg?w=256)
![Solve the following quadratic function to find the x intercepts f x x 12x 27 Ox 12 and 27 O x 4 and 3 x 9 and 3 x 4 and 3](https://media.kunduz.com/media/sug-question-candidate/20231106233846233868-5982847.jpg?w=256)
Algebra
Quadratic equationsSolve the following quadratic function to find the x intercepts f x x 12x 27 Ox 12 and 27 O x 4 and 3 x 9 and 3 x 4 and 3
![Solve the following logarithmic equation log x 3 0 027 004 0 013 001](https://media.kunduz.com/media/sug-question-candidate/20231106230039370712-5982847.jpg?w=256)
![Simplify the following logarithmic expression using the Laws of Logarithms log 6x log 2x log3 log4x O log4 log12x](https://media.kunduz.com/media/sug-question-candidate/20231106230058190010-5982847.jpg?w=256)
Algebra
Complex numbersSimplify the following logarithmic expression using the Laws of Logarithms log 6x log 2x log3 log4x O log4 log12x
![Solve the following exponential equation 5 20 3 4 093 1 07 1 86](https://media.kunduz.com/media/sug-question-candidate/20231106230022832301-5982847.jpg?w=256)
![What is the horizontal asymptote of the following rational function x 8 2x 10 y O y 1 2 y 2 3 O y 0 There is no horizontal asymptote](https://media.kunduz.com/media/sug-question-candidate/20231106225919790951-5982847.jpg?w=256)
Algebra
Matrices & DeterminantsWhat is the horizontal asymptote of the following rational function x 8 2x 10 y O y 1 2 y 2 3 O y 0 There is no horizontal asymptote
![What are the vertical asymptotes of the following rational function x 3 y 2 9 x 3 x 9 x 3 Ox 3 and x 3](https://media.kunduz.com/media/sug-question-candidate/20231106225832416299-5982847.jpg?w=256)
Algebra
Complex numbersWhat are the vertical asymptotes of the following rational function x 3 y 2 9 x 3 x 9 x 3 Ox 3 and x 3
![4 If four less than the product of 4 and x is added to the difference of x and 5 what is the value if x 2 a 3 b 1 c 7 d 12](https://media.kunduz.com/media/sug-question-candidate/20231106225743210000-6098643.jpg?w=256)
Algebra
Sequences & Series4 If four less than the product of 4 and x is added to the difference of x and 5 what is the value if x 2 a 3 b 1 c 7 d 12
![Describe the end behavior of the right side of the function f x x 2x 7 y approaches infinity as x approaches infinity y approaches infinity as x approaches negative infinity y approaches negative infinity as x approaches negative infinity y approaches negative infinity as x approaches infinity](https://media.kunduz.com/media/sug-question-candidate/20231106225813818355-5982847.jpg?w=256)
Algebra
Complex numbersDescribe the end behavior of the right side of the function f x x 2x 7 y approaches infinity as x approaches infinity y approaches infinity as x approaches negative infinity y approaches negative infinity as x approaches negative infinity y approaches negative infinity as x approaches infinity
![Use long division or synthetic division to divide the following polynomials 2x x 2x 1 x 2](https://media.kunduz.com/media/sug-question-candidate/20231106225736591290-5982847.jpg?w=256)
Algebra
Complex numbersUse long division or synthetic division to divide the following polynomials 2x x 2x 1 x 2
![Use long division or synthetic division to divide the following polynomials x 2x2 x 5 x 1](https://media.kunduz.com/media/sug-question-candidate/20231106225712429135-5982847.jpg?w=256)
Algebra
Complex numbersUse long division or synthetic division to divide the following polynomials x 2x2 x 5 x 1
![3 What is the value of twice x increased by three times y if x 3 and y 4 a 15 b 17 c 18](https://media.kunduz.com/media/sug-question-candidate/20231106225705386617-6098643.jpg?w=256)
Algebra
Complex numbers3 What is the value of twice x increased by three times y if x 3 and y 4 a 15 b 17 c 18
![Find the zeros of the following function f x x 7x 12x](https://media.kunduz.com/media/sug-question-candidate/20231106225653856037-5982847.jpg?w=256)
![Solve the following quadratic function to find the x intercepts f x x 6x 9 x 5 and 1 Ox 3 and 3 x 3 x 9 and 6](https://media.kunduz.com/media/sug-question-candidate/20231106225610774258-5982847.jpg?w=256)
Algebra
Complex numbersSolve the following quadratic function to find the x intercepts f x x 6x 9 x 5 and 1 Ox 3 and 3 x 3 x 9 and 6
![2 What is the value of 2x 4y if x 2 and y 3 a 16 b 8 c 8 d 16](https://media.kunduz.com/media/sug-question-candidate/20231106225557355276-6098643.jpg?w=256)
![What is the vertex of the following function f x x 4x 3 2 1 4 3 1 4 4 3](https://media.kunduz.com/media/sug-question-candidate/20231106225538594204-5982847.jpg?w=256)
![ms 1 Write an expression for the sum of 3x and 6 then evaluate if x 4](https://media.kunduz.com/media/sug-question-candidate/20231106225323594246-6098643.jpg?w=256)
![Exit Ticket 11 6 Which of the following is an expression that represents The sum of twice x and 10 a 2x 10 b 2 x 10 c 2x 10 d 2 x 10](https://media.kunduz.com/media/sug-question-candidate/20231106225507350748-6098643.jpg?w=256)
Algebra
Complex numbersExit Ticket 11 6 Which of the following is an expression that represents The sum of twice x and 10 a 2x 10 b 2 x 10 c 2x 10 d 2 x 10
![2 If y 8 what is the value of four times the quotient of y and 2](https://media.kunduz.com/media/sug-question-candidate/20231106225400892858-6098643.jpg?w=256)
![2 For f x x and g x x 4 find the following composite functions and state the domain of each a fog b gof c fof d gog c f of x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice O A The domain off of is x Type an inequality Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed O B The domain of f of is all real numbers d gog x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice O A The domain of g og is x Type an inequality Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed](https://media.kunduz.com/media/sug-question-candidate/20231106213127879217-4144376.jpg?w=256)
Algebra
Complex numbers2 For f x x and g x x 4 find the following composite functions and state the domain of each a fog b gof c fof d gog c f of x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice O A The domain off of is x Type an inequality Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed O B The domain of f of is all real numbers d gog x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice O A The domain of g og is x Type an inequality Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed
![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](https://media.kunduz.com/media/sug-question-candidate/20231106213006375621-4144376.jpg?w=256)
Algebra
Complex numbersEvaluate 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