Permutations and Combinations Questions and Answers
Algebra
Permutations and CombinationsSolve the rational inequality Write your answer in interval notation 2 3 2 1 0
Algebra
Permutations and CombinationsGraph 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
Algebra
Permutations and CombinationsWrite the solution to the inequality below using interval notation y 10y 24
Algebra
Permutations and Combinations4 Savanah divides the guests based on age and asks everyone younger than 10 and everyone older than 45
Algebra
Permutations and CombinationsMath 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
Algebra
Permutations and CombinationsKelly 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
Algebra
Permutations and CombinationsCh 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
Algebra
Permutations and CombinationsFind 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
Algebra
Permutations and Combinationsg 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
Algebra
Permutations and CombinationsState 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
Algebra
Permutations and CombinationsMr 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
Algebra
Permutations and Combinationsthe 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
Algebra
Permutations and CombinationsWhat is the domain of the function y x 6 7 O x2 7 O x2 6 O x26 O x27
Algebra
Permutations and Combinations2 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
Algebra
Permutations and Combinations5 Contrast qualitative and quantitative data giving examples of each
Algebra
Permutations and Combinationsving absolute value expression lify the absolute value on the left of answer opens in new window
Algebra
Permutations and CombinationsUse 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
Algebra
Permutations and CombinationsUse 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
Algebra
Permutations and CombinationsFactor 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
Algebra
Permutations and CombinationsQuestion 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
Algebra
Permutations and CombinationsSolve the rational inequality Select the correct choice below and
Algebra
Permutations and CombinationsFINANCIAL 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
Algebra
Permutations and CombinationsQuestion 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
Algebra
Permutations and CombinationsQuestion 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
Algebra
Permutations and CombinationsWhich equation represents exponential growth Oy 12 3 Oy 2 3 X Oy 0 8 3
Algebra
Permutations and CombinationsDetermine 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
Algebra
Permutations and CombinationsO 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
Algebra
Permutations and Combinationse each equation 40x 80x 0 Holari In Exercises 43 48 perfe are positive See Examp 43 12y 9 y 46 77 3 3m7 3
Algebra
Permutations and Combinations8 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
Algebra
Permutations and CombinationsOne number is four more than twice the second number Their total is 25 Find the numbers
Algebra
Permutations and CombinationsFind the number of different arrangements of the 8 letters of the word EDUCATOR in which the vowels A E O U are all separated
Algebra
Permutations and CombinationsThe 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
Algebra
Permutations and CombinationsUse 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
Algebra
Permutations and Combinations24 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
Algebra
Permutations and CombinationsGiven 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
Algebra
Permutations and CombinationsEach 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
Algebra
Permutations and CombinationsGiven 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
Algebra
Permutations and CombinationsA 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
Algebra
Permutations and CombinationsSolve for C AB X Select one O a C C O b O C C O d C XY AB XY ABY ABX AB
Algebra
Permutations and Combinations1 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
Algebra
Permutations and CombinationsBuc 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