Algebra Questions
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
Algebra
Permutations and CombinationsDetermine the equation of the graph and select the correct answer below 10 4 1 Courtesy of Texas Instruments Oy x 4 1 Oy x 4 1 Oy x 4 1 Oy x 4 1 15 Y 1 5 4606

Algebra
Complex numbersWhich of the following is a solution of x 8x 27 O 4 i 11 O4 11 O 4 i 44 O 04 1 44


Algebra
Complex numbersOf the following which is the solution to 2x 5x 8 O 5 ti 39 4 5 39 4 5 i 39 2 5 ti 192



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


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

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

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

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

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

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

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

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

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

Algebra
Complex numbersif x 5 3a Three times the sum of 8 and x 3b Evaluate if x 3 3c Evaluate if x 10

Algebra
Complex numbers10 Evaluate if x 10 1C Evaluate if x 2 acredion 1d Evaluate if x equals one half

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

Algebra
Permutations and Combinations2a Twelve less than the quotient of x and 10 X 12 10 2b Evaluate if x 20
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
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

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



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





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



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


Algebra
Complex numbersSimplify the following logarithmic expression using the Laws of Logarithms log 6x log 2x log3 log4x O log4 log12x


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

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

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

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

Algebra
Complex numbersUse long division or synthetic division to divide the following polynomials 2x x 2x 1 x 2

Algebra
Complex numbersUse long division or synthetic division to divide the following polynomials x 2x2 x 5 x 1

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


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


