Complex numbers Questions and Answers

A square with side length 10cm is inscribed in a circle drawn so that all vertices corners touch the circle on the inside 10 cm You will now be asked to find the 5 Find the radius of the circle Type a response 6 Find the circumference of the circle Either type your answer using or round to 1 decimal place

1 In your own words what is the difference between a bear market and a bull market What effect would the market have on your investments

D dividend 13 Members of a n research stocks for consideration attend regular meetings pay dues elect officers and vote on securities to buy or sell A board of directors B investment club C dividend reinvestment plan DRIP D brokerage firm

7 Which type of government bond is a long term investment with a maturity of 30 y and sold in increments of 100 A Treasury bond B Treasury bill C Treasury note D Series EE Bond 8 Which investment strategy involves buying securities and holding them for long term gains as opposed to frequent trading A dollar cost averaging B buy and hold C dividend reinvestment plan DRIP D transactional plan d slowdown are referred to as

1 An increase in the value of an investment is A appreciation B depreciation C diversification D liquidation 2 What type of investment is created by pooling the money of many people and investing it in a collection of securities A bear market B brokerage C mutual fund D municipal bond

Find the possible values of the complex number z given that z 8 6i Maxi

H X y 5 87 3y 42 C F 5x 2 D

Divide each polynomial by the binomial w 729 w 9

On Saturday evening there were 520 covers If the popularity index of the Grilled Salmon is 10 how many portions of the salmon were served on Saturday

Divide the polynomial by the monomial 2x 2x 2x 1 11

Let f x 3x 4 and let g x x 4x 1 then f p p 4p 1 True False

Divide each polynomial by the binomial 4a 32a 48 a 6

Divide each polynomial by the monomial 10z 20z7 5z

K Let f x 3x 5 and g x 2x 7 Find f g x f g x fg x f g x Simplify your answer The domain of f g is Type your answer in interval notation f g x Simplify your answer The domain of f g is Type your answer in interval notation fg x Simplify your answer Do not factor The domain of fg is Type your answer in interval notation Aw 0 Simplify your answer 1 x x fog x

X f x X g x 1 6 gof 3 5 2 2 5 4 3 3 4 3 4 Enter in your answer as a whole number or fraction 4 3 2 5 5 2 1 6

5 If f x kx 8 and f 40 2 find the k value

2 A Evaluate the absolute value expression 3x x x B Solve the absolute value equation 2x 1 3

Given circle C with center 3 4 and radius of 2 and circle D with center 2 1 and radius of 10 what sequence of transformations should be used to prove circle C is similar to circle D by mapping C onto D

Use f x and g x to find each composition Identify its domai c fof x f x x g x 4 x a fog x Simplify your answer The domain of fog x is Type your answer in interval notation

on Chapter 2 Review Practice X n Portal Lesson lesson pra Practice Lesson Chapte Step 1 of 1

ite the set xx 2 using interval notation then graph the se hoose the correct interval notation for the set 0 2 D 2 00 Choose the correct graph below

Show all The country of Freedonia has an area of 2 076 000 square kilometres The population of Freedonia is 10 500 000 million people Approximately how many people are thora 3

The two diagonals of a square meet at 1 5 Which set of ordered pairs could represent the endpoints of one of the diagonals A 5 6 and 3 4 B O 4 6 and 2 4 5 5 and 3 5 4 3 and 1 2

following graph and the hole for this graph is 6 9 4 points Find the rational function which represents this graph 3 Given the following graph 4 points State the Domain Range Provide the reciprocal power function represented by this graph 6 2 1 4 D 4 6 B 3 0 0 3 D 2 1 4

If a projectile is fired straight up at a speed of 30 m s the total time to return to its starting point is about 3 seconds 6 seconds 30 seconds O 60 seconds not enough information to actimato

Suppose f z is a continuous function that is zero when z is 1 5 or 12 and nowhere else Suppose we tested the function at a few points and found that f 2 0 f 0 0 f 6 0 and f 13 0 Let z t be the solution to a lim r t L IN f x and 0 1 Compute help numbers

Independent Show that it is impossible for an element in span of the columns to be written as two different linear combinations Exercise 5 9 3 Try to prove that if a linear map L VW is bijective then its inverse function is automatically lin and thus a linear inverse Definitely discuss this one with me or skip it 5 10 Additional Eu

15 Solve for x x 3 2 7 5 16 Solve for x 4 x 2 3 x 4 2 x

Rewrite the expression using the common denominator O 2x 3 O X x 3 L X 2x 3 DONE Fr x

1 Draw the planes with equations a TT x 5 b y 6 2 C Z 6 3 2 Sketch the plane defined by the equation a 2x 5y 10 0 b x 3y z 0 1 TT V 3v

Preview Activity 3 5 1 Let s consider the following matrix A and its reduced row echelon form A 2 1 0 2 31 0 1 0 01 0 0 2 1 00 a Are the columns of A linearly independent Is the span of the columns R b Give a parametric description of the solution space to the homogeneous equation Ax 0 0 27 c Explain how this parametric description produces two vectors w whose span is the solution space to the equation Ax 0 e Let s denote the columns of A as v V2 V3 can be written as linear combinations of V1 d What can you say about the linear independence of the set of vectors w and W2 and v4 and v f Explain why v and v are linearly independent and Span V1 V Span V1 V2 V3 V4 and w2 Explain why v3 and V4

The graph of y x is given below 5 4 5 4 3 2 1 1 2 3 5 4 3 2 1 y 3 Find a formula for each of the transformations whose graphs are given below Recall that square root is entered as sqrt a b 1 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 5 4 3 2 2 3 1 2 3 2 3 4 5 2 3

0 1 pt 319 Details Sketch a graph of f x x 1 2 5 5 4 3 2 1 Clear All Draw 4 3 2 1 2 3 4 5 1 2 3 4 5 in TO V

5 Your new computer costs 1500 but it depreciates in value by about 18 each year a Write an equation that would indicate the value of the computer at x years b How much will your computer be worth in 6 years

Sketch a graph of f x x 2 3 5 5 4 3 2 1 Clear All Draw 4 3 2 1 2 3 5 1 2 3 ANC 4 5

is shown below Let g x be a transformation of f x shifte x and write its formula below 7 15 6 5 4 3 2 1 6 5 4 3 2 2 3 5 6 Clear All Draw 2 3 4

Multiply and simplify Assume any factors you cancel are not zero p 6p 28p 84 30 An 24

Suppose a certain baseball diamond is a square 70 feet on a side The pitching rubber is located 46 5 feet from home plate on a line joining home plate and second a How far is it from the pitching rubber to first base b How far is it from the pitching rubber to second base c If a pitcher faces home plate through what angle does he need to turn to face first base a The distance from the pitching rubber to first base is about feet Round to two decimal places as needed

In Exercises 1 3 tell which equation you would choose to solve for one of the variables Explain 1 5x y 2 3x y 7

quadratic function and the axis of symmetry State the vertex and give the equation for the axis of symmetry f x 4 x 2 1 Use the graphing tool to graph the function as a solid curve and the axis of symmetry as a dashed line Click to enlarge graph

For the function P x x37x at the point 2 6 find the following a the slope of the tangent to the curve b the instantaneous rate of change of the function

Cathy buys her new refrigerator on consignment The refrigerator is 1 686 and the terms of her agreement state that she would pay 21 as a down payment How much did Cathy pay as a down payment Round your answer to the nearest cent Do not include a dollar sign in your answer

wer bound KR per bount ww Need Help Ma DETAILS MY NOTES ASK YO 7 1 Points SPRECALC7 3 4 081 Find all rational reres of the plynemial and then find the irrational cars any Whenever appropriate the Rational Zares Therm the Upper and Lower Bounds Thanram Descartes Rule of Sys the Qualif your answers as comma esparated lists Enter all answers including repetitions If an answer does not exi 1x 2 1

3 find the area of this triangle 3 in 8 in

Vectors can be Select one or more a Scaled b Squared c Inverted d Added

Considera 12x 20 0 14 How does the SUM of the TWO solutions to a 12x 20 0 relate to the equation Type a response 0 15 What do you get if you MULTIPLY your

Given a vector begins at 1 4 and ends at 1 then the components of the vector are 4

Simplify each expression using the Quotient to a Power Property Answer with positive exponents only a b c d 5 7 5a 2 3 7zw 726 6r 4 y

Find the average rate of change for the function betwee f x x 7x from 4 to 9 OA 16 OB 100 9

2 Use identities to simplify each expression to a single trigonometric function or number 2 points each a sin cot 0 sec 0 c 1 sin 8 csc cot 8 b cot 8 csc 8 d cos cot tan 8