Complex numbers Questions and Answers

9 log g equation 2x 2 logg 4 3 3 log8 2x 2 4 8 8x 8 512 8x 8 8 8 520 8X 8 F 65 X 11 5 2log 4 4m 8 7 In 5x 3 In 9 5 5x 3 9 5 e 45x 27 e 27 27 45X C 27 45 xp5727 45 10 log 4 x 9 log 4 2 3 12 10 log 8 x 6 14 14 log 7 log 5x 3 1 10 7 5X 3 10 36x 2 1 10 221 21 35x 31 34 35

9 Mary has 100 candy bars She will leave 4 of the candy bars at home The remaining candy bars will be equally distributed to five children How many candy bars will each child receive A B C D 5 75 20 15

Use what you know about writing exponential functions with percent growth or decay to complete the following problems 1 Farid makes a 12 000 investment that yields an average yearly return of 4 If he makes no additional investments how much will his investment be worth in 15 years 2 You purchase a car for 36 000 You did some research and found that this particular model of car depreciates in value by around 15 per year What is the value of your car after 6 years

TT 5 OT Des Boy Feature Face Left Eyebrow Right Eyebrow Nose Mouth Function Type Equation Domain

43 2 1 2 3 4 Determine the period A 12 16 20 24 28 4 CO 8 Enter

House A 6 320 Figure 1 Figure 2 Tessa has 80 ft of fencing available to construct a fence that will divide her garden into four rectangular sections Her house forms one side of the garden and ar represents the width as shown in Figure 1 a Express the total area of the four sections as a function of x A a b Find the domain of the function Write your answer as a compound inequality involving a Domain of A CE c Using the graph of A r shown in Figure 2 determine the dimensions that yield the maximum area

5 Use the matrix multiplication to find the a Dilation of 2 3 by factor of 2 b Expansion of 1 2 by factor of 2 in the x direction c Reflection of 2 1 3 with respect to xz plane d Shear of the vector 3 1 in the y direction with a factor of 1

1 Express the product Ax as a linear combination of the column vector of A 3 1 33 0 3 8 5 2 0plication to find the

Given H e 1 2 3 3 2 1 and K e 1 2 Prove that the set i ii His a normal subgroup of S3 K is not a normal subgroup of S3

A y sin x TT 2 C y sin x T 2 Find the equation 1 4 NEN 2 B y sin x Tt D y sin x

JAW4T44NWAG 4 5 Determine the period A 8 12 16 20 24 4 28 Enter

Find all prime and maximal ideals of Z50 n

Rotate the given triangle 90 counter clockwise about the origin 1 2 21 43 E L 1 1 31 11 1

Question The graph shows a transformed square root function YA 4 3 2 2 5 Change the equation of the parent square root function to represent the equation of t Enter the correct answer in the box

Find the following for the function f x a f 0 e f x b f 1 f f x 2 a f 0 2x 7 3x 4 c f 1 g f 5x 7 4 Simplify your answer Type an integer or a simplified fraction b f 1 Simplify your answer Type an integer or a simplified fraction d f x h f x h

N H G 4 D 830 66 TI F 5 E 6 8 9 10 What is the measure of minor arc EG 17 75 O 149 O 211

2 Suppose L and M are unitary Show that LM is unitary Answer

The eccentricity of the conic section below is DK a 0 b between 0 and 1 C 1 d greater than 1 Enter

Find a formula for the nth term in this arithmetic sequence a 8 a2 4 ag 0 a4 4 an n

Find the value of x if LA and LB are complementary angles Express your answer as an integer or simplified fraction A x 25 B x 35 X 0 0

If 400 are deposited into an account with 7 interest rate compounded monthly what is the balance after 8 years F Round to the nearest cent

If f x 2x 1 and g x x 3 then g f x x

Find the midpoint between 8 2i and 4 6i 2

The black graph is the graph of y f x Choose the equation for the red graph A y 1 f B y 1 f C f x 1 D f x 1 Enter

Find all the missing elements B C 120 b 5 c 11 A C b C a A B 1 a Round to the nearest tenth Enter

Rotate the vector 5 1 90 clockwise about the origin

Determine the largest open intervals of the domain over which the function is a increasing b decreasing and c constant 14 3 9 10 10 3 9 14 Q G a Select the correct choice below and if necessary fill in the answer box to complete your choic OA The function is increasing on the interval s Type your answer in interval notation Use a comma to separate answers as needed OB The function is never increasing

The manager of a small company that produces roof tile has determined that the total cost in dollars C x of producing x units of tile is given by C x 220x 250 while the revenue in dollars R x from the sale of x units of tile is given by R x 230x Find the break even point and the cost and revenue at the break even point The break even point is units

For the function graphed give the minimum and maximum values of f x and the x values at which they occur 15 12 9 at x 20 16 42 8 4 8 12 d 16 20 9 12 15 O G Find the minimum Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA The function has a minimum value of Type whole numbers OB The function does not have a minimum value

Use a graphing calculator or Excel to find the solution of the system of equations If the system is dependent enter DEPENDENT If there is no solution ente SOLUTION x y 5x 3y 2 3x 7y 4 MY OTES ASK YOUR TEA

For any number n 1 is 5 2i n A greater than 1 B less than 1 C equal to 1 Ente

Ajar contains 30 red 30 blue and 60 white buttons You pick one button at random find the probability that it is red Simplify your answer completely P red Enter

Solve the radical equation Be sure to check for extraneous solutions x 4 3x 6

Questions are 1 To complete a graph of exponential functions how many ordered pairs are needed to have an accurate graph Explain why 2 What is the relationship between Exponential functions and Logarithmic functions 3 In what scenario do you use logarithmic in your science class If you haven t had any science class using logarithmic topics please do your own research and write a brief explanation on it DUELQuen Made

Show your work to determine the x intercept of the radical function f x 2 x 5 2

Show your work to find the y intercept of the radical function X 2 x 4 5

Find the probability of no successes in eight trials of a binomial experiment in which the probability of success is 7 P Round to the nearest tenth of a percent En

Find the exact value by using a half angle formula cos 75

Identify the key features for the function y Select all that apply O The function is decreasing b 1 The function is increasing Domain a a 1 100 Domain y 0

Identify the key features of the graph of g x Select all that apply 1 x 1 0 8 6 The function is decreasing O Range y 0 4 2 Range 0 0 The function is inc easing Domain 0 Domain y O 10 8 6 4 2 4 6 Co 10 This image cannot be easily described If you need an explanation of this image please ask help N 4 6 8 10 your teacher

X Identify the key features of the graph of g x Select all that apply 10 8 6 4 2 10 co alue of the funct 6 4 2 t 6 8 10 N 4 This image cannot be easily described If you need an explanation of this image please ask your teacher help 8 10 O The function has a y intercept of 0 1 and no x intercepts As x approaches positive infinity g x approaches 0 which means that the function has an asymptote of y The value of the function decreases throughout its domain O As x approaches positive infinity g x approaches negative infinity As x approaches negative infinity g x approaches positive infinity The function has an x intercept of 0 1 and no y intercepts roncos throughout its domain

Identify the key features for the function y 1 Select all that apply 3 The y intercept is 0 The function decreases The function increases b 1 O The y intercept is 0 1 0 b 1

Simplify show your work using the Equation Editor Tool

Select the logarithmic equation after a vertical stretch by a factor of 2 and a translation left 6 Of x 2log x 6 Oh x 2log x 6 Oj x log 2x 12 O g x 2 log x 6

Given the points below that are on the graph of f x 3 identify the points that will be on the graph of the inverse function below f x log3 x X O 1 2 f x 1 3 9 O 2 9 and 1 1 O 0 1 and 1 3 O 3 27 and 4 81 O 1 0 and 9 2

Question 1 1 Select all of the true statements regarding the relation shown below 5 0 LO 5 5 The domain of the relation is 0 7 The domain of the relation is 0 7 The relation is a one to one function The relation is a many to one function The relation is even The relation is odd The relation is neither even nor odd 10

B Find angle C in degrees Round to the nearest tenth C a C b C a 11 b 12 A C 20

Let W be a subspace of R n and v R n give definition of the orthogonal projection of v onto W

Find the side length b Round to the nearest tenth C a B b A C b B 90 a 6 C 7 Enter

Find A in degrees Round to the nearest tenth C B4 a C b A A a 7 b 4 C 8 Enter