Permutations and Combinations Questions and Answers

Solve the rational inequality Write your answer in interval notation 2 3 2 1 0

Graph the solution set on the number line 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Clear All Draw Solution in interval notation

Write the solution to the inequality below using interval notation y 10y 24

x 5y 15 Escribe el valor faltante en la de la ecuaci n 5

5 Savanah asks the first 100 people who leave the museum

4 Savanah divides the guests based on age and asks everyone younger than 10 and everyone older than 45

Math pdf 1 3 G 2 F 24 For what real number value of x is the equation 1 64 2 true H 4 J 6 K 8 A 0 D 25 Suppose that the 8 identical faces of a regular octahedron like the one shown below are numbered from 11 through 18 with 1 number per face and each face is equally likely to land down when the octahedron is tossed What is the probability that on 1 toss of this octahedron the number on the face landing down is a prime number or an even number D 1 8 Download 4 7 Print 15 Save to OneDrive 11 18 LE

Kelly and Jerome owned a very successful office upply business Over the years they made enough money to buy a house raise two children travel and etire in comfort Sadly Jerome dies just a few years after they etire Neither Kelly nor Jerome could face the thought hat one of them would die so they had not planned ccordingly Since there is no will Jerome s estate divided according to state law Half of his property oes to their children The amount Kelly receives will ot allow her to live comfortably for long She has no gal right to the children s inheritance Since Kelly and Jerome also did no tax planning Kelly has to pay xes that could have been avoided Case Review 1 When does it become important to prepare a will and complete estate planning 2 Why is a will important even to those who do not have large amounts of money or property 3 What are some estate planning steps that can ease financial burdens following the death of a loved one 4 What advice would you have given to Jerome and Kelly before they reached retirement age

Ch 6 7 8 question 144 Classic Auto Parts sells new and used auto parts Although a major following Sales on Account Cash Sales 266 800 619 000

Find the difference quotient f x 3x 2 Simplify your answer as much as possible f x h f x h f x h f x h 11 where h 0 for the function below X 00 S

g t If possible evaluate g t for the given values of t 1 6 t https a If t 7 then g t b If t 23 then g t ube If needed round answer to 5 decimal places Enter DNE for Does Not Exist oo for Infinity watch v wS Eynw

State the vertical and horizontal asymptotes of the rational function f x answers with commas Equation s of vertical asymptote s Equation of horizontal asymptote 3 4z 6x 8 Separate multiple

Determine the domain of the function x 9 x f x

Find the domain of the rational expression f x 2 x 2x 35

Determine the domain of the function f x 5x 2 5x 30

Mr Oliver orders his groceries online and has them delivered to his house His bill is 175 He has a coupon for 10 off and plans to give the delivery driver a 20 tip What is the total price t of Mr Oliver s order including the discount and the tip t

the domain of the square root function f x is x 7 which statement must be true 7 is subtracted from the x term inside the radical The radical is multiplied by a negative number O7 is added to the radical term The x term inside the radical has a negative coefficient

What is the domain of the function y x 6 7 O x2 7 O x2 6 O x26 O x27

2 Next 5 Save Pause rcy recorded information about the first 100 le or female He also recorded whether each ormation Percy recorded is shown There were 64 males out of 100 people here were the same number of males as fe

5 Contrast qualitative and quantitative data giving examples of each

Evaluate using the remainder theorem f x x 5x 10x 12 4 f 3

ving absolute value expression lify the absolute value on the left of answer opens in new window

Use a graphing calculator to determine the domain and range of fx 2 3x 12 Domain All Real Numbers R Range All Real Numbers R Domain x1x2 4 Range All Real Numbers R Domain All Real Numbers R Range yly2 4 Domain x1 2 x 2 Range All Real Numbers R

Use synthetic or long division and the graph of t x x x 2x 2 to 1 x factor completely t x x 1 x 2 t x x 1 x 2 x 2 t x x 1 x 2x 4 t x x 1 x 2 x 2

Factor the following polynomial function by grouping g x x 3x 5x 15 g x x 3 x 5 g x x 1 x 4 g x 2x 3 x 5 g x x 4 x 5

Which of the below is a factor of x 27 x 3 O x 3 x 3x 9 x 3x 9

Question 5 12 5 points Simplify log 216 36 6 O O 3 4 Question 6 12 5 points Use the change of base formula to approximate the following with your calculator log3 75 3 930 0 254

Solve the rational inequality Select the correct choice below and

FINANCIAL LITERACY Bryn invests 500 in an account with a 2 1 annual interest rate compounded continuously If Bryn does not make any other deposits or withdraws how much will be in her account after 4 months 2 years

Question 15 The graph of the function 3 f x x 2 is shown below Determine the domain 10 8 6 4 107 8 98 6 42 2 O ZON 40 op 2 4 6 8 10 X 2 4 6 8 10 O Domain all real numbers except x 0 and x 2 O Domain all real numbers except x 3 and x 0 Take Quiz

Question 5 12 5 points Which function does the graph show 5 4 3 2 1 4 3 1 2 3 4 5 O f x 3 1 Of x 3 2 O f x 2 1 O f x 2 2 1 2 3 4 5 Question 6 12 5 points

Which equation represents exponential growth Oy 12 3 Oy 2 3 X Oy 0 8 3

If f x 2x 1and g x Find f g 3 49 19 07 13

Determine an expression that would represent the perimeter of the figure shown below 10x 6 20x 12 8x 1 16x 42x 5 16x 5 2x 5

O y 0 8 3 Oy 0 25 Question 3 14 3 points Which equation represents exponential growth Oy 3 2 X O y 6 0 5 y 0 75

e each equation 40x 80x 0 Holari In Exercises 43 48 perfe are positive See Examp 43 12y 9 y 46 77 3 3m7 3

8 x 25 x 4x x2 16 2x 10 24 x 3 90x 9 2x 6x 9x 81 x 18x 81 x 9 x 4 x 9 x 3 X 3 9 18x 2X X 3T 9CX49 X 9 x 9 x 3 x 3 x 9 x 3 XX Restrictions Yaz

One number is four more than twice the second number Their total is 25 Find the numbers

Find the number of different arrangements of the 8 letters of the word EDUCATOR in which the vowels A E O U are all separated

The probability of two machines w and y breaking down is 4 11 and 3 7 respectively Find the probability that only one will break down

Use the table to determine if f x is a one to one function If it is find a table for f X 5 10 8 f x 10 5 9

24 Shireen decided to deposit her graduation gift money in two different savings accounts Account x has an interest rate of 5 and Account Y has an interest rate of 25 Altogether she received 5000 from graduation If after the first year her interest earned was 21 25 how much was deposited into each account Define your variables by assigning them to the real world quantities in the problem a b Write a system of equations in standard form you can use to solve for those quantities C Calculate the x and y intercepts for both equations d How much was deposited in each account Use whatever method you want to solve the system of equations

Given N 14 3 answer the following questions Note DO NOT write symbol in blank Number ONLY below 20 between 11 and 17 above 14 between 5 and 17 A A

Prove the identity sin cos cos 0 sin 0 tan 0 1 tan 0

Each side of a rectangular figure is tripled in length What happens to the value of the area Select one O a It is tripled O b Results will vary O c It is doubled O d It is nine times as great

Given f x 15x 49x 42x 8 answer the following Part 0 2 Part 1 of 2 Factor f x given that is a zero 3

A right triangle with sides of 8 and 10 would have a hypotenuse of Select one O a 2 41 O b 15 c 164 O d 3 2

Solve for C AB X Select one O a C C O b O C C O d C XY AB XY ABY ABX AB

1 The table shows the numbering system used in Europe and the United States for Work the problems on a separate piece of paper take a picture and upload Shoe Sizes 1 U S Size 3 5 7 9 11 European Size 31 34 36 39 41 44 a Make a scatter plot b Describe the correlation Give a reason for your answer c Write the equation of a trend line Show work Do not use calculator 2 The table shows no

Buc is designing a cereal bowl He is using the equation y to describe the cross 10 section of the shape of his bowl but it isn t oriented correctly He needs his equation to describe the bowl in an upright position Which of the following changes would help him correct his equation so that it is in the correct position Ox Ox 12 Ox 2 y 12x 10x 10