Complex numbers Questions and Answers

Rationalize the denominator and simplify 2 6 6 6 O O O O 2 6 3 2 6 2 3 2 6 6 2 2 6

5 10 20 Not drawn to scale A AS Postulate B AA Postulate What are the coording simieson ott voln 0282 aula Na C SAS The D SSS Thec

Simplify O 36m n where m 0 n 0 9m n where m 0 n 0 O 36m n where m 0 n 0 m n 6 where m 0 n 0 36m n4 where m 0 n 0

If one U S dollar was worth 1 22 Canadian dollars when Sal went to a debate tournament in Toronto and he had 300 in U S currency as spending money how much was his money worth in Canadian dollars His money was worth Canadian dollars X S

SAT coaching A sample of 10 students took a class designed to improve their SAT math scores Following are their scores before and after the class Can conclude that the mean increase in scores differs from 15 points Let u represent the mean score after the class and Use the a 0 10 level a the P value method with the TI 84 Plus calculator Before 513 483 447 440 After 525 482 482 479 Send data to Excel Part 0 4 Part 1 of 4 H a State the appropriate null and alternate hypotheses Ho This is a Choose one test Score X 439 435 451 431 0 Ha 0 0 G 451 454 453 491 526 463 511 529

height of a triangular pyramid is 17 5 mm The base of the solid has a height of 9 mm and a base o mid Step 2 Find the volume of the solid for the pyramid Volume of pyramid OV 420 mm OV 491 7 mm OV 459 375 mm Points 0 100 12 Step 1 Find the area of the base for the pyramid Area of base B 140 mm OB 78 75 mm

An expression is shown 5 6 What is the value of the expression Which product of prime factors is equivalent to 2 520 O x 35 x 7 O 22 x 3 x 5 x 7 O 2 x 3 x 5 x 7 2 3 5 7 An equation is shown 2 x 3b Complete the statement about the equation To make the equation 576 2 x 3 true the value of a and the value of b C 576

Write the system of equations as an augmented matrix 3r 3y x 150 5y 8r 2r 3x 100 x 350

10 a 65 b 45 Show Transcribed Text 45 c 32

marks Ariana Grande sw Classes y x 3 Power school 10 8 y x 5 Click to select points on the graph 104 6 4 Cool Math Games 2 8 6 9 4 2 2 4 6 2 4 6

Find the value of the expression m4 m 2m 10m 15 when m 3 O 75 45 O 12 57

A student simplified the rational expression using the steps shown 235 x 225 2 45 1 2 11 635 XUIN 112 2 x 12 Is the answer correct Explain

What is 73 in exponential form O 7 7 314 43 413

What is the area and perimeter of a 10 step staircase

Nettali Moreno Miranda Attempt 1 Which of the following is the graph of f x 2x 21 3 O V 5 4 3 2 1 5 4 3 2 13 5 4 3 2 1 3 2 1 2 3 41 S A 3 1 3 34 50 31 2 y 2 3 4 5 2 3 4 5 23 5 X

Question 5 20 points Which graph shows the correct asymptotes 2x 8 x 3x 10 associated with the function f x O 5 4 3 2 1 5 5 4 3 2 1 5432 4 3 2 1 dy 31 4 S 4 32 1 2 to wi 31 45 1 2 3 4 6

Question 1 20 points Identify any vertical asymptotes and points of discontinuity of f x x 6x 9 x 9 O O O O Vertical Asymptote x 3 and x 3 Point Discontinuity None Vertical Asymptote x 3 Point Discontinuity x 3 O Vertical Asymptote Point Discontinuity x 3 Question 2 20 points Consider the function f x Vertical Asymptote None Point Discontinuity x 3 and x 3 vertical asymptote x 6 3 x 2 x 5x70 find the

Question 1 25 points Solve the following equation for all possible values of a that make the statement true a 3 Be sure to check for extraneous solutions O 2a 5 a 3 a 3 O 5 O x O No Solution a 5 Question 2 25 points Solve the following equation for x X x x 2 x 2 6 x 2

Question 1 25 points Add and simplify the rational expression 6 42 22 2x 2x O O 2x 3 X 4x 3 4x x 6 X 2x 6 X Question 2 25 points Add Subtract and simplify the rational expression

O O 1 x 4 O 1 x 16 Question 4 25 points Subtract and simplify x 4 1 X 1 X 1 x 1 x 0 2 2x 1 x 2x 1 x 2 1 x 1 x

O X 5 x 5 O O x 3 2 5 x 2 x 3 O Question 4 25 points Divide and simplify the rational expression x x 4x X 4 T J x 3 2 X x 8x 16 x 4x 16 x 4 2x 4x 16 X 4 x 0 4 X 0 4 x 4x X 4 x 0 4 x 4 0

Question 2 25 points Multiply and Simplify 1 2 2x 6 x 4 O O O O 1 x 5x 12 3 3x 10 x 4 4x 12 1 x 7x 12 Question 3 25 points Divide and Simplify x 3x 10 x 2x 15 x x 6 x 6x 9

y 3 x 24x 55 y 3 x 8x 55 y 3 x 8x 16 55 16 y 3 x 4 39 Hilda was working on her homework She completed the square to change y 3x 24x 55 to graphing form in order to identify the vertex of the parabola She did the work at right and identified the vertex to be 4 39 When she got back to class and checked her answers she discovered that the vertex she found is incorrect but she cannot find her mistake Examine Hilda s work and explain to her what she did wrong Then show her how to complete the square correctly and identify the vertex

worth more or less including zero depending on your answ f x 3x 10x 25 g x 9x 25 Find x 01 17 1 24 x 1 O O O x 5 3x 5 x 5 3x 5 x 5 3x 5

A new drug claims to reduce insomnia In a study on the effectiveness of the new drug 50 subjects were given the new drug and another 50 subjects were given a placebo At the end of the 6 month study the group given the new drug reported an average of 3 3 nights they suffered insomnia a month The group given the placebo reported an average of 9 5 nights they suffered insomnia a month The data from the study are rerandomized 10 times The difference of the means from reandomization are 4 5 4 0 28 43 51 19 35 47 21 and 39 What is the most appropriate conclusion about the new drug to draw from this information The new drug does not appear to reduce insomnia since the rerandomized mean differences are close to the mean difference found between the two groups studied The new drug appears to reduce insomnia since the rerandomized mean differences are close to the mean difference found between the two groups studied The new drug does not appear to reduce insomnia since the rerandomized mean differences are considerably greater than the mean difference found between the two groups studied The new drug appears to reduce insomnia since the rerandomized mean differences are considerably less than the mean difference found between the two groups studed

X Find the domain of f x x 3 O All real numbers except 3 All real numbers except 3 O All real numbers except 7 All real numbers except 0

C A A 5 4 A C A A C 3 2 1 Simplify 5 3x 2 Multiplying Polynomials 18 Questions 3x 10 15x 10 Simplify 2x 2x 3 4x 3 4x 6x x 2 x 3 x2 5x 6 x 5x 5 x 5 x 4 x x 20 x 9x 20 x 7 X 9 x 63x 16 Cx 79 6 x 5 x 1 x 4x 5 x25x 4 NAME CLASS DATE B D B D B D B D B 15x 10 D 3x 10 B x 3 D 4x 6 x x 6 x 6x 6 x 20x 9 x 9x 54 x 16x 63 x 16x 2 x 6x 5 x 4x 4

4 y x 2 5 5 3 0 slope 13 in 14 5 y intercept

1 y 2x 1 slope 5 AY 5 5 2x y intercept CO

Fill in the missing numbers in the factor tree If not possible

e 4858 It is divisib It is divisib It is divisib It is not di

Use a vertical format to subtract the polynomials 7x 2 2x 3 11x 2 4x 8

6 c 9 1 d 15 24 f 250 Need Help Submit Answer

Tell whether each whole number is divisible by a 1492 It is divisible by both 4 and 8 It is divisible by 4 but it is not d It is divisible by 8 but it is not d It is not divisible by 4 or 8 b 1352 OIt is divisible by both 4 and 8 OIt is divisible by 4 but it is not It is divisible by 8 but it is not It is not divisible by 4 or 8 c 2938 OIt is divisible by both 4 and 8 It is divisible by 4 but it is not It is divisible by 8 but it is not It is not divisible by 4 or 8 d 3165 It is divisible by both 4 and 8 It is divisible by 4 but it is not It is divisible by 8 but it is not

e f It is not divisible by 5 4000 It is divisible by both 5 It is divisible by 5 but It is divisible by 10 bu It is not divisible by 5 5005 It is divisible by both 5 It is divisible by 5 but It is divisible by 10 bu It is not divisible by 5 Need Help Submit Answer Read It

2 3x 2x 4 6x 12x x 6 x 5 0 b 3 4 4b 5 0 crio batola

10x 15x 0 Sovle by factoring 6

Given Vertex and a Point Vertex Form Method 2 1 2 3 4

2 x 2x 8 X 48 6 4 2 Ay 8 6 4 2 2 6 2 e X

24 A function has a domain of R x4 and a range of R y 3 Which of the following ration functions has this domain and range 3x A f x 6 x 4 B f x x 4 C x 4 P x 1 3 3 3

You invest 3000 into an account earning 8 interest compounded quarterly Which equation repre the amount of money you would have in your account after 10 years A y 3000 1 0 08 10 4 40 B y 3000 1 0 08 10 3000 1 03 10 0 8 C y 3000 1 000 1 3 40 8 40 D y 3000 1 I

9 Choose the pair of equivalent equations A log42 x 4 2 B log4 x 2 4 2 C log 4 2 x 4 D 1084x 2 x 4

Ass Convert the following radian measure to degree measure 2 852

The table below shows the survey results from four randomly selected Algebra 2 students in one high school classroom Height in inches 76 62 68 72 Favorite Sport Basketball Softball Number of Siblings Gymnastics 2 Baseball 4 0 1 Age in years 17 18 16 17 Favorite type of pet Dog Cat Fish Dog Which of the following questions below could be asked about the data above O Do the students in the school tend to have siblings What sport is the most favorite amongst the students in this class O What is the average height of the class O What is the average height of the four students above

Question 1 25 points Solve the equation for x 3x 2 O 4 Ox 1 5 X O 4 x X O 3 2x 2 8 Ox 1 1 X 8 15 Question 2 25 points Solve the equation for x 2x 6 30 x 288

3 A certain company s main source of income is a mobile app The company s annual profit in millions of dollars as a function of the app s price in dollars is modeled by P x 2 x 3 x 11 a What does the app s price need to be to make a maximum profit b What is the maximum profit

12 A charity decided to buy at least 200 tickets to a concert If it bought 65 less floor seats than upper deck seats what was the least number of upper deck tickets the charity bought

405 000 and it cosins 51100 io produce bach Ty The company propeds thit if ar charges a pince of 52400 for the TV a wa be able to sell BSO TVs If the compary warts to sell 900 TVs however It muak lower the pecice to 52100 Asseume a irear dertund What is the marginal proft 1260 TVs are produced if is 1 per ilem Rownd answer to nearest doliar

signment Find the measure of an angle bet 540 An angle between 0 and 360 t

In Exercise 9 3 1 problem 13 you are asked to simplify 032 This radical expression can be rewritten in the exponential form mk and then simplifies to m k65 KR Select the correct values for each of the variables A Select B Select C Select P 6 R 2 m