Complex numbers Questions and Answers

Prove that ACB 2CDB A C D

Find an equation of the line L 3 1 8 1 1

a Find the slope of the line and b interpret the slope 3 2 Ay 01 X

Given the following functions find f g x f x 3x 2x and g x x 5x 3

Find all the missing elements B C 40 a 120 A C 8 C a c c Enter

Find all the missing elements B A C b A C a b b B 32 C 125 a 7 c c Enter

Find all the missing elements C b A 96 13 25 C B C b c Enter

Divide by using long division 1 6x 28x 9x 10 x 2 6x4 28x 9x 10 x 2 6 12x 4x 1 1 42 Determine whether the given binomial is a factor of the polynomial p x If it is find the remaining factors of p x 2 p x x 2x 7x 14 x 2 x 2x 7x 14 x 2 2x47x 141x 2

Find all the missing elements B 14 15 70 A b C B C b Round to the nearest tenth Enter

The table shows the number of class periods missed over the last 10 courses by two students Helena 0 8 5 1 6 89 829 Juanita 5 6 4 4 4 6 5 5 4 5 Part 0 2 Part 1 of 2 a Find the mean number of classes missed for each student Round to one decimal place if necessary The mean number for missed classes for Helena was The mean number for missed classes for Juanita was Part 1 2 Part 2 of 2 X 5 b Without doing the calculations how do you think the measures of variation compare for the two students

Select the correct answer from each drop down menu Consider the equation below The equation was solved using the following steps Step 1 Step 2 Step 3 Step 4 2 5x 8 Step 1 Step 2 Step 3 Step 4 Step 5 Complete the statements below with the process used to achieve steps 1 4 2 to 5x and 8 6x 16 V 16 10x 16 16x 16 16x 14 6x P x X 14 6x 14 30 30 16 15 8

The number of students at one campus who had a 4 0 GPA is shown below organized by class Draw a pie chart for the data Rank Freshman Sophomore Junior Senior Frequency 19 31 37 16 Senior 0 Freshman Freshman 25 Sophomore 25 Junior 25

2 7i 4 8i Simplify your answer Type your answer in the form a bi nt question Write the expression in the standard form a bi

If you have a 1 in a thousand chance of winning 400 but 999 out of a thousand times you win nothing what is your expected payoff

In a family of four children what is the expected number of boys Boys Probability 0 1 1 16 1 4 3 8 2 3 1 4 4 1 16

A company plans a major investment and the amount of profit is uncertain but researchers give the following estimate for the distribution Profit in millions Probability 1 0 1 1 5 0 2 2 0 4 0 2 What is the expected value of the profit 1 million dollars 10 0 1 Enter

9 62 Find the equation of the line with slope passing through the point 6 2 9 63 Solve the quadratic equation below Check your solutions with a calculator 3x 2 5x 12 5 9 64 Factor the expressions below completely if possible a 4x 20x 25 c 3 x 12x b x 11x 2 d 10x 35x

54 Solve x 5 49 A x 2 56 A 0 B x 2 x 2 55 Use the discriminant to determine how often the graph of y HINT you need to use the discriminant The formula for the discriminant is b 4 A 36 B 1 2001 3 C x 2 x 12 SNO 6 C 2 What number should be added in order to complete the square x 12x D x 44 x 54 144 x 2x 4 crosses the x axis D 12 72

45 Simplify completely 144 A 72 46 Simplify completely A 2 47 Simplify completely A 5 B 14 36 B 1 2 NIT 30 6 B 5 C 12 C 3 30 D 12 D 180 D 6 CA bes

A a population shrinks from its initial level of 32 000 at a continuous decay rate of 6 1 per year a Find a formula for P t the population in t years P t help formulas b By what percent does the population shrink each year Round to the nearest 0 001 help numbers

15 Simplify 3x 7 3x 5 A 9x 6x 35 16 Simplify x 2 A x 4 B 9x 36x 35 A 2 B 4x 17 Find the Greatest Common Factor of B x 18 What is the value of n in the equation 4n A only 5 B only 0 C 9x 36x 35 C x 2x 4 2x 4x 8x 20n D 9x 36x 35 C 2x XST E CD 2x C 0 or 5 D x 4x 4 loisigaves 0 0 015 y vlo2 35 D 0 or 5

Solve 2x 6 6 14 Select the correct answer O No solution O x 4 x 4 O x 10 x 10

Jericka wants to solve this absolute value inequality by graphing What equations or inequalitie would she need to graph 2x 10 8 12 O 2x10 8 12 2x 10 8 12 O y 2x 10 8 y 12 O 2x 10 8 x 12 x Oy 2x 10 y 8 y 12

Solve by graphing and then select the correct answer z 4 9 17 09 x 17 O No solution O 12 x 4 O x 12 or x 4

Use your knowledge of transformations to determine where the vertex will be r x x 4 9 O 4 9 O 4 9 O 0 9 O 9 4

Select the inequalities that would be solved using and Select all that apply Ox 9 14 Ox 3 1 Ox 6 8 Ox 2 5

Killian wants to use a graph to solve an absolute value equation By looking at his graph determine what equation he is trying to solve O This image cannot be easily described If you need an explanation of this image please ask your teacher for help O x 3 4 4 Ox 3 4 4 O x 4 3 4 Ox 3 4 1

Solve 47 3x 10 110 Select the correct answer O x 6 x 6 O x 6 x 32 3 O x 6 x 37 3 No solution

Given the graph select the correct transformation of f x x 10 8 2 5 5 O f x x 8 2 Of x x8 2 Of x x2 8 Of x x 2 8 0 5 5 This image cannot be easily described If you need an explanation of this image please ask your teach for help

escribe the transformation of y e function is a Select as it relates to the parent graph y x across the Select

he function is a Select Question 24 escribe the transformation of y O Horizontal Compression O Horizontal Stretch across the Select x as it relates to the parent graph y x

Find the missing side 31 y y Round to the nearest tenth Remember SOHCAHTOA 21 Enter

Describe g x The function g x factor of 1 1 x as it relates to the parent graph f x x is a Select Select by a sca

O 16x 2 O 16x 1 16x 11 O 16x 3 Question 10 Let g x 4x 5x 7 and h x 3x 7x 9 Select the correct algebraic expression for g x h x 12x 2x 16 7x 2x 2 x 12x 16

Match the domain and range for the graph below 4 2 2 4 2 4 O The domain is 3 x 5 and the range is 3 y 3 O The domain is 3 x 5 and the range is 3 y 3 O The domain is 3 x 3 and the range is 3 y 5 O The domain is 3 x 3 and the range is 3 y 5

O f g x x 10 the functions are not inverses of each other Of g x x 15 the functions are not inverses of each other Of g x x 20 the functions are not inverses of each other Of g x x the functions are inverses of each other Question 14 1 Find the inverse f x for f x 4x 12 O f x 4x 3 f x x 3 O f x 1 x 3

Match the domain and range for the table below X y The domain is The range is 2 5 1 4 Choose Choose 1 0 3 Y 1 1 1 2

Find the missing side Z 28 15 15 cos 28 5z Z Round to the nearest tenth Remember SOHCAHTOA Enter

9 a Consider the exponential decay function given by f t 0 for t 0 and f t Ae At b for t 0 Find the FT of the function f t b Find the FT of the function f t e t

91 5 54 3 2 7 m 5 3 2 TO 29 54 2345 321 4 2 3 3 St 10W 54 F 2 45 3 E 2 2 3 N q O a y 2 b y 2 c y 2 d y 2

Find the exact value without using a calculator 2 log 2

8 Bri Sickle bought some motorcycles for 15 000 each and some quads that cost 5 000 each A total o 10 vehicles were bought for 80 000 How many motorcycles did Bri buy How many quads did she buy 5 000 80 000 23 000 22 000 5000 1800 D

Points 1 Which of the following alphabet tells whether the quadratic function y ax bx c attains the maximum or the minimum Question 15 OY O a Ob

Factor Trinomials a 1 Level 2 Jun 05 11 21 17 PM Watch help video Factor completely 5x 12x 4

An equation that defines y as a function f of x is given a Solve the equation for y in terms of x and replace y with the function notation f x b Find f 11 x 5y 12 a Solve the equation for y in terms of x and replace y with the function notation f x 12 X f x 5 Simplify your answer Use integers or fractions for any numbers in the expression b Find f 11 f 11 Type an integer or a fraction

Find the value of f 6 y f x 9987654321 10 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 3 46789 4 10 x

Let f 0 4 6 8 1 2 3 3 Find a f 3 and b f 1 a f 3

Jun 05 11 00 13 PM Watch help video Find the inverse function in slope intercept form mx b Answer f x f x x 9 Submit a

Decide whether the relation defines y as a function of x Give the domain and range y x7 Does the relation define a function Yes O No What is the domain Type your answer in interval notation

The following table shows the number of endangered and threatened species in the US from 2003 to 2013 Use DESMOS to detemine if th model is a quadratic or linaer model for the data Describe the data 2003 813 2004 2005 2006 2007 2008 941 962 1053 1132 1194 The data does not fit a quadratic model it is a linear model O The data does not fit a linear model it is a quadratic model O There is no way to determine what the model is to be There is no correct answer given 2009 2010 1205 1244 2011 1254 2012 1262