Complex numbers Questions and Answers
Algebra
Complex numbersA ladder is 27 8 feet long It leans against the wall with one end on the ground is 13 2 feet from the wall The other end just reaches a windowsill Use the Pythagorean formula to calculate the height of the windowsill above the ground 27 8 ft 13 2ft h
Algebra
Complex numbersdd and simplify 7 3i 6 2i 7 3i 6 2i Simplify your answer Type y answer in the form a bi
Algebra
Complex numbersDivide 700 100 700 100 Simplify your answer Type your answer in the form a bi Type an exact answer L radicals as needed
Algebra
Complex numbers12 3 12 3 Simplify your answer Type an exact answer using radicals as needed Type your ans in the form a bi
Algebra
Complex numbers1 Given the functions f x 3 with the domain 3 and 0 and x x x g x with the domain x x 0 what is the domain of o g x I a xx 0 x R b x x 0 x R c xx 3 or 0 x x R d xx 3 x R
Algebra
Complex numbersFor the functions f x sin x and g x cos x a 4 x t Ob c d tan x x sin x 4 x cos x 4 x sin X COS X 2 would be equal to
Algebra
Complex numbers10 11 17 14 15 16 20 age 3 1 4 10 12 13 age 4 1 ww 18 19 25 MA 22 23 7 28 29 26 32 33 4 35 36 1 38 39 An example of a relation that is not a function but is odd is Ob d 7 5 7 6 5 6 3 5 3 2 5 2 L 5 1 0 5 113 12 S 2 1 5 1 0 5 I Y 3 X 5 1 0 5 0 5 1 1 5 2 2 5 0 5 2 2 5 3 3 5 4 4 5 5 X 0 5 1 1 5 2 2 5 3 3 5 4 4 5 5 N 451A3252 45 103 10 951 15 05 23 3 354453
Algebra
Complex numbersJ Page 2 11 12 14 17 18 20 Page 3 21 24 30 Page 4 34 15 16 13 22 40 23 31 32 33 a 25 26 28 29 137 38 39 135 36 If f z cos 2 and 9 2 x 2 which graph is fog b Od Od T 2 B 1 1 5 0 5 1 0 5 4 1 54 2 5 1 5 D S 0 5 1 0 5 Y R
Algebra
Complex numbersfog x and gof x are the same function This statement is a always true b true for most functions f x and g x c false for most functions f x and g x d always false
Algebra
Complex numbers13 16 19 23 26 29 3 33 36 39 Question 33 1 point Listen Which graph represents f g x for the given graphs of f x and g x a Ob Oc 5 16 SE f g x 16 5 4 4 3 4 3 8 x 1 8 x Y g x 2 3 4 Y 6 X 3 A S 6 3 4
Algebra
Complex numbersThe function f x sin x can be transformed to a function equivalent to g x cos x by a phase shift of a un to the left b units to the right c units to the left d units to the right
Algebra
Complex numbersOne cycle of a sine function begins at x and ends at x 3 What is the phase shift of the function a right b left c There is no phase shift d left 2
Algebra
Complex numbersWrite the equation in exponential form Assume that all constants are positive and not equal to log y C
Algebra
Complex numbersWhich of the following is the equivalent statement to 1 2 cos 0 Oa 2 tan 0 b sec 0 2 sec 6 Oc 1 2 tan 0 d sec 0 2
Algebra
Complex numbersWhich of the following is an equivalent expression to 1 tan 0 sin 0 a 1 a sin 0 b cos 0 sin 0 sin 0 c cos 0 sin 0 sin 0 d cos 0 sin 0 sin 8
Algebra
Complex numbersWhich graph is defined by the function given below y x 2 x 7 10 10 10 A CO 10 10 OA Graph A OB Graph B C Graph C 10 D Graph D 10 10 10 10 10 B C Click here for long description 10 10 10 10 D 10
Algebra
Complex numbers10 0 6x The population of wolves in a wildlife reserve can be modelled by the function f x 1000 600 where f x is the population of wolves and x is the number of years since the population was introduced In the context of this model what does the vertical asymptote represent a The time at which the wolves began living in the reserve b Nothing the vertical asymptote is outside the domain COMPE WO S uover c The maximum number of wolves that can survive in the reserve at any given time CO d Nothing the vertical asymptotes are irrelevant in all contexts
Algebra
Complex numbers1000 600x 10 0 6x The population of wolves in a wildlife reserve can be modelled by the function f x where f x is the population of wolves and x is the number a years since the population was introduced According to this model What is the maximum number of wolves that can survive in this reserve a 600 b 1000 O c 10 d 100
Algebra
Complex numbersThe concentration C of a drug in the blood after thours is given by C t 2 6 where C is measured in mg L In the context of this model what is the domain of the function a Domain tt 0 t R b Domain tt E R c Domain tt 0 t R d Domain t 0 7217 t 0 7217 t R
Algebra
Complex numbersListen Which of the following has no vertical asymptotes a f x 2x 3 x 3 O b f x 2 3 x 3 c f x 2x 3x x2
Algebra
Complex numbers3 2 S R R Q X A rotation 180 about the origin B reflection across the y axis C translation 2 units right and 6 units up D reflection across y x
Algebra
Complex numbers1 Here is a circle with a radius of 15 units whose center is at 0 0 a If the y coordinate of point C is 12 what is the x coordinate Explain or show your reasoning x 9 b Name 2 other points that must be on the circle 1 12 9 12 3 Find the measure of 6 to the nearest hundredth cos8 1 8 21 2 11 11 8 2 Solve the following triangle 4 6 tan 42 x 5 mi 4 5 mi A 4 Find the missing values for the following right triangle cos30 3 tan 30 1 24 xo 27 7 13 9
Algebra
Complex numbersLevel 4 Mastered The sun shines on a flagpole causing a shadow to be cast on the ground The distance from the base of the pole to the tip of the shadow is 49 feet At that time of day the sun s rays make an angle of 38 with the ground How tall is the Flagpole Draw a picture
Algebra
Complex numbersWhich function has the graph shown A y sinx B y secx C y tanx D y cotx 72x 2 1 2 3
Algebra
Complex numbersvaluate the integral Remember to use absolute values where appropriate Use C for the constant of integration S 25 x X dx
Algebra
Complex numbersFind the standard deviation of the given data Now find the variance or the average of the squares of the differences Data 5 6 8 Data x 3 2 0 Data x 9 4 0 13 5 25 Variance 0 9 4 0 25 4 Variance
Algebra
Complex numbersQuestion 19 1 point E Listen Which general form of the following equations would represent the graph below 2 1 30 y 20 10 Oc f x ax b 10 20 30 a f x ax bx c b f x ax bx cx d d f x ax b cx dx e
Algebra
Complex numbersa Find f g x f g x 10x 5 5x 2 Simplify your answer What is the domain off g Select the correct choice below and if necessary fill in th your choice
Algebra
Complex numbersQuestion 35 2 points Listen The displacement s in meters of an object moving back and forth in a straight line can be modeled by a function s t 3 t 5 2 3 The instantaneous rate of change 5 seconds is a zero b positive c negative d undefined
Algebra
Complex numbersHow many students in Honor Roll How many have perfect attendance honor roll not taking adu class Honor G 3 5 2 Denfert Adu
Algebra
Complex numbers3 Ten cars were recently assembled at a factory Of these cars 3 will be picked at random for inspection Of the 10 cars 5 are blue and 5 are grey What is the probability that all 3 cars picked for inspection will be blue
Algebra
Complex numbersIf you invested 1 000 in Netflix stock ten years ago what would it be worth now
Algebra
Complex numbers6 SIA 20 20 Write the factored form of the equation of the most appropriate polynomia f x a 10 10 K sin a
Algebra
Complex numbersA correct numerical answer with ho 10 A quadratic function is graphed on the set of axes below Find the axis of symmetry vertex domain and range Axis of Symmetry Vertex Domain Range X 4 pts
Algebra
Complex numbers8 The graph of the equation y ax is shown to the right If a is multiplied by 1 the graph of the new equation is 1 wider and opens downward wider and opens upward 2 3 narrower and opens downward narrower and opens upward 4
Algebra
Complex numbersblems 11 You have a piggy bank that has 275 dimes and quarters that total 51 50 How many of each type of coin do you have in the piggy bank
Algebra
Complex numbers2 3 1 1 0 4 E 2 y 1 A 7 6 5 4 Does the function above show exponential GROWTH or DECAY 2 44 S 6 6 S
Algebra
Complex numbersJse the graph of f x x to write a formula for the function whose graph shown be 12 8 16 12 8 00 4 12