...WORKED SOLUTIONS 2 Answers Skills check 1 a Quadratic functions and equations d x 2 − 25 = 0 (x + 5) (x − 5) = 0 x = ±5 3a − 5 = a + 7 2a = 12 a=6 4 x 2 + 1 = 21 4x 2 = 20 x2 = 5 x =± 5 3(n − 4) = 5(n + 2) 3n − 12 = 5n + 10 2n = −22 n = −11 2k(k − 5) 7a(2a2 + 3a − 7) 2 x 2 + 4 xy + 3 x + 6 y 2x ( x + 2 y ) + 3( x + 2 y ) 2 e x 2 + 2x − 48 = 0 x2 + 8x − 6x − 48 = 0 x(x + 8) − 6(x + 8) = 0 (x + 8) (x − 6) = 0 x = −8 or x = 6 f b b 2 + 6b + 9 = 0 b 2 + 3b + 3b + 9 = 0 b(b + 3) + 3(b + 3) = 0 (b + 3)2 = 0 b = −3 c 2 a b c a 6x 2 + 5x − 4 = 0 6x 2 + 8x − 3x − 4 = 0 2x(3x + 4) − 1(3x + 4) = 0 (3x + 4)(2x − 1) = 0 x = − 3 or x = 4 1 2 ( 2x + 3) ( x + 2 y ) 5a 2 − 10a − ab + 2b 5a ( a − 2 ) − b ( a − 2 ) ( 5a − b ) ( a − 2 ) e (n + 1)(n + 3) f (2x − 3)(x + 1) g (m + 6)(m − 6) h (5x + 9y)( 5x − 9y) d b 5c 2 + 6c − 8 = 0 5c 2 + 10c − 4c – 8 = 0 5c (c + 2) − 4 (c + 2) = 0 (c + 2) (5c − 4) = 0 c = −2 or c = 5 4 Exercise 2A 1 a c b c x 2 − 3x + 2 = 0 x 2 − x − 2x + 2 = 0 x(x − 1) − 2(x − 1) = 0 (x − 1)(x − 2) = 0 x = 1 or x = 2 a 2 + a − 56 = 0 a 2 + 8a − 7a − 56 = 0 a(a + 8) − 7(a + 8) = 0 (a + 8)(a − 7) = 0 a = −8 or a = 7 m 2 − 11m + 30 = 0 m 2 − 5m − 6m + 30 = 0 m(m − 5) − 6(m − 5) = 0 (m − 5) (m − 6) = 0 m = 5 or m = 6 2h 2 − 3h − 5 = 0 2h 2 − 5h + 2h − 5 = 0 h(2h − 5) + 1(2h − 5) = 0 (h + 1) (2h − 5) = 0 h = −1 or h = 2 5 d 4x 2 − 16x − 9 = 0 4x 2 − 18x + 2x – 9 = 0 2x(2x – 9) + 1(2x – 9) = 0...
Words: 2327 - Pages: 10
...LIST OF NONCONFORMING MOTOR VEHICLES THAT ARE ELIGIBLE FOR IMPORTATION (BY OR THROUGH A REGISTERED IMPORTER) as of October 1, 2011 Under 49 U.S.C. § 30112(a), a person may not permanently import into the United States a motor vehicle manufactured after the date that an applicable Federal motor vehicle safety standard (FMVSS) takes effect unless the vehicle complies with the standard and is so certified by its original manufacturer. This prohibition applies to both new and used motor vehicles, but does not apply to motor vehicles that are at least 25 years old (based on the date that the vehicle was manufactured). Under one of the exceptions to this prohibition, found in 49 U.S.C. § 30141, a motor vehicle that was not originally manufactured to comply with all applicable FMVSS can be lawfully imported into the United States, provided it is determined eligible for importation by the National Highway Traffic Safety Administration (NHTSA), and is imported by a registered importer, or by a person who has a contract with a registered importer to bring the vehicle into compliance with all applicable FMVSS following importation. Import eligibility decisions can be made either on the initiative of the Administrator of NHTSA or on the petition of a manufacturer or registered importer. One basis for determining a motor vehicle eligible for importation is that it 1) is substantially similar to a motor vehicle of the same model year that was manufactured for sale in the United States and certified...
Words: 8483 - Pages: 34
...My Dream Car My dream car that I built was the SL63 AMG Roadster with an exterior color mars red and black interior with silver trim. The tire hubcaps were all black. If I am going to dream, I might as well dream big! I added many different options to the base package including customized colors to the exterior/interior, drivers assistant package, AMG performance package, Mbrace package (includes many different features such as remote locks, roadside assistance, mobile apps, ect), as well as a vehicle cover and cargo tray area. The base package for this vehicle costs $147,300. After adding all the accessories and features the total came to $177,178. The difference between the standard and customized price would be $29,878. This also included the delivery fee of $925. I think there would be way too many combinations to count. The tool on the Mercedes Benz website is tailored to the individual to create their own unique vehicle that meets their own individual needs. Even when making the choice simpler, there are over 50 different variety of vehicles you could create. According to a web article wrote by Mahmud, A. (2011) “Mercedes Benz marketing strategy was focused on comfort, stability, security, and ambiance in their models due to stiff competition in the car global market.” Their order winner is luxury and/ or performance. They are not interested in building something fast or powerful, but something that engineer automobiles that combine the many facets of performance...
Words: 282 - Pages: 2
...Na Bai Prof. Noelle Perez Campaign II Oct. 14th, 2014 The impact of media on marketing campaigns Abstract: Today, the rise of various online media channels has greatly enriched the channels in media than before. How to properly use a variety of media , and how to take advantages of the media are most important issues for companies. This paper analyzes the impact of both offline and online media on marketing campaigns based on “TopShop” case study. Key Words: media, marketing campaign I. Media Category Now the media can be divided into two parts, offline media and online media. In offline media category, there are TV, print media, radio and OOH. While in online media, there are online digital, and social. Offline media has developed for long time, and is kind of mature media. However, online media a only just emerged in recent years, is still developing. A. Offline Media 1. TV. Such as network, cable, market or spot. 2. Print media includes Newspaper, magazines and direct mail. 3. Radio and OOH include billboards, video screens, in-store ads, and cinema. B. Online Media 4. Online digital includes email, tablets, mobile, and video. 5. Social includes blogs and social channels like Facebook, Twitter, and Instagram. II. General overview of the media impact Advertising and marketing campaign of companies definitely work, but exactly how different media channels contribute to the brand is...
Words: 1427 - Pages: 6
...A grand tourer (Italian: gran turismo) (GT) is a performance or luxury automobile capable of high speed or spirited long-distance driving. The most common format is a two-door coupé with either a two-seat or a 2+2 arrangement. The term derives from the Italian phrase gran turismo, a tribute to the tradition of the grand tour, used to represent automobiles regarded as grand tourers, able to make long-distance, high-speed journeys in both comfort and style. The Grand Tourer, Grand Turismo, Grand Routiere, or GT terms are the most misused and abused terms in motoring.[1] According to author Sam Dawson, "the ideal is of a car with the ability to cross a continent at speed and in comfort yet provide driving thrills when demanded" and it should exhibit the following:[1] "Ideally, the GT car should have been devised by its progenitors as a Grand Tourer, with all associated considerations in mind." "It should be able to transport at least two in comfort with their luggage and have room to spare - probably in the form of a two plus two (2+2) seating arrangement." The engines "should be able to cope with cruising comfortably at the upper limits on all continental roads without drawbacks or loss of useable power." The design, both "inside and out, should be geared toward complete control by the driver." Its "chassis and suspension provide suitable handling and roadholding on all routes" during travels. Grand tourers emphasize comfort and handling over straight-out high performance...
Words: 294 - Pages: 2
...interest to learn about any additional institution-specific admission requirements that may apply. Carnegie Unit Requirements 16 Carnegie Units should be completed by students graduating high school prior to 2012. 17 Carnegie Units should be completed by students graduating high school in 2012 or later. Carnegie Unit Requirement In Specific Subject Areas 4 Carnegie units of college preparatory English Literature (American, English, World) integrated with grammar, usage and advanced composition skills 4 Carnegie units of college preparatory mathematics Mathematics I, II, III and a fourth unit of mathematics from the approved list, or equivalent courses* or Algebra I and II, geometry and a fourth year of advanced math, or equivalent courses* 3 Carnegie units of college preparatory science for students graduating prior to 2012 Including at least one lab course from life sciences and one lab course from the physical sciences 4 Carnegie units of college preparatory science for students graduating 2012 or later...
Words: 3458 - Pages: 14
...MATHS 1.01 (1.RE.04) MATHS 1.02 (1.RE.05) ICT 1.03 (1.RE.08) IT Room 1 MATHS 1.05 (1.RE.09) MATHS 1.06 (1.RE.10) MATHS 1.07 (1.RE.11) MATHS 1.08 (1.RE.12) SCIENCE 1.50 (1.ST.09) SCIENCE 1.51 (1.ST.10) SCIENCE 1.52 (1.ST.11) SCIENCE 1.53 (1.ST.14) SCIENCE 1.54 (1.ST.15) SCIENCE 1.55 (1.ST.16) SCIENCE 1.56 (1.ST.17) SCIENCE 1.57 (1.ST.18) SCIENCE 1.58 (1.ST.19) SCIENCE 1.59 (1.ST.22) Sociology Breakout HISTORY 2.01 (2.RE.04) HISTORY 2.02 (2.RE.05) ENGLISH 2.03 (2.RE.07) ENGLISH 2.04 (2.RE.08) ENGLISH 2.05 (2.RE.09) ENGLISH 2.06 (2.RE.10) ENGLISH 2.07 (2.RE.11) ENGLISH 2.08 (2.RE.12) GEOGRAPHY 2.50 (2.ST.20) GEOGRAPHY 2.51 (2.ST.21) ECONOMICS 2.53 (2.ST.26) MFL 2.54 (2.ST.28) MFL 2.55 (2.ST.30) MFL 2.56 (2.ST.31) MFL 2.57 (2.ST.32) MUSIC 2.58 (2.ST.05) MUSIC 2.60 (2.ST.09) RELIG ED 3.01 (3.RE.09) RELIG ED 3.02 (3.RE.10) RELIG ED 3.03 (3.RE.11) POLITICS 3.50 (3.ST.09) SEN 3.52 (3.ST.12) Reading Room 1 ECONOMICS DRAMA STUDIO 1 (G.ST.09) Mon:1 7X/Ma3 AR 11E/En5 RP 8T/It MR 13B/It1 MN 12R/Re2 RR 11E/En8 CH 7X/Ma2 JSC 7X/Ma1 CS 9S/Sx2 JW 9S/Sx5 MW 9S/Sx3 RLE 9S/Sx6 DT 9S/Sx4 MM 9S/Sx1 KMC 13B/Bi1 NM 13B/Ph1 FM 7Y/Rd1 LR 10A/Hi2 LDE 11E/En6 PQ 11E/En1 LWI 11E/En7 JBR 11E/En3 LW 11E/En4 CHY 11E/En2 ACR 10A/Gg1 HT 10A/Gg2 JHP 7Y/Fr1 SL 7Y/Sp1 KH Mon:2 11M/Ma4 ST 11M/Ma6 JSC 10B/It2 MR 10B/It1 MN 11M/Ma2 PP 11M/Ma3 OE 11M/Ma1 DTO 11M/Ma7 ECW 8Y/Sx2 JW 8X/Sx2 RV 8Y/Sx4 SV 10B/Pe1 CR 8X/Sx1 MM 8Y/Sx3 MW 12A/Ph1 FM 12A/Ch1 SB 8Y/Sx1 SBE 13C/Ch1...
Words: 4108 - Pages: 17
...Ezekiel Star is a 17-year-old high school student who is Captain of the football and basketball teams. His clothes are crisp, or always the “in fashion,” and he drives an expensive car. Simply put, he loves to flaunt his family’s money. In school, Ezekiel is the type of teen who wears his varsity jacket as he walks the halls, and flips his hair to the side with a sharp jolt of his head. He is popular with other students, but most teachers don't like him or his attitude toward them. He always comes to class late; he is disruptive in class, and never pays attention. Every school day, the homeroom bell rings at 7:50. By 8:30 Ezekiel shows up in his 2016 Mercedes-Benz SL-Class. He comes into Mrs. Kings class slamming the door and interrupting...
Words: 352 - Pages: 2
...| Purpose In this project, a database management system will be implemented to make the self-ordering easier. The users for this program will be used for customers in various restaurants. It will take a customer’s order, total it, and give them an amount. The system will instruct the customer to enter the correct amount. If the amount is not enough, the system will instruct them to enter more money. If it is too less, however, the system will them issue out change. Use of Visual Basics Visual Basic for Applications (VBA) will be used because it is a programming language built right into many Microsoft programs. This language is built on the Basic programming language made popular by PCs over the past 25 years. VBA shares similarities with other Windows implementations of the Basic language, such as Visual Basic. If you are familiar with programming in a different language (including using macros), you can quickly get up to speed with VBA. There are a few terms you should know before you start programming in VBA: * Procedure. A section of programming code, designed to accomplish a specific task, which your program statements can use throughout your program. There are two types of procedures: functions and subroutines. * Function. A procedure that returns a value after it completes its task. When called, functions typically appear on the right side of an equal sign in an expression. * Subroutine. A procedure that does not return a value after it completes its...
Words: 3627 - Pages: 15
...supportive of your diagnosis. Case 2.1 2.1-1 How would you describe the presenting problem? Inattention and hyperactivity/impulsivity in addition to unexpected academic underachievement with impairments in written expression and impairments in mathematics. 314.01 (F90.2) ADHD Combined presentation: If both Criterion A1 (inattention) and Criterion A2 (hyperactivity-impulsivity) are met for the past 6 months. 315.2 (F81.81) Specific Learning Disorder with impairment in written expression: Spelling accuracy; Grammar and punctuation accuracy; and Clarity or organization of written expression 315.1 (F81.2) Specific Learning Disorder with impairment in mathematics, with impairment in accurate or fluent calculation and impairment in accurate math reasoning. 2.1-2 What resources might be available to help Sarah and her family? Psychiatric evaluation, family counseling, individual counseling, special education program, and tutoring. 2.1-3 Would you refer Sarah to any other professional while she is being seen by you? Full physical examination from primary care physician, school guidance counselor and psychiatrist. 2.1-4 What diagnosis would you give Sarah? Please list the symptoms that are supportive of your diagnosis. Moderate ADHD and co-occurring Moderate Specific Learning Disorder ADHD symptoms: 1. Inattention: a. Often fails to give close attention to details or makes careless mistakes in schoolwork, at work, or during other activities b. Often has difficulty sustaining...
Words: 1063 - Pages: 5
...Chad Jenkins 4853474 SLS 1501 No Turning Back & Freshman Year Bryan Anderson knew his situation very well. He knew things were going to suck, and patience would be needed to get himself to move and function efficiently once again. He knew in order to succeed, he could not be coddled, and he learned to appreciate how hard his mother and his therapists were on him because he knew this would help him in the long run. I’ve come to my own realization of something rather similar here in college. Teachers no longer baby us, rather they expect us, as adults to be able to work without constant pressure or surveillance, which we were constantly under in high school. This means more newfound responsibilities for me as well as the other freshmen, and it also serve s as a means of increased freedom. I appreciate that professors are not coddling me, because this is teaching me responsibility and self-reliance, which will definitely be crucial in my future success. It of course is a huge adjustment, and was initially pretty difficult to keep up with all the new requirements and the various assignments I had been assigned. Yes, I did miss a few assignments, such as this essay, and an online math quiz, but both of those miscues have opened my eyes and are forcing me to play closer attention. This very much correlates with Bryan constantly falling, and getting up, and his attitude to learn from his mess ups that helped him push forward. With the increased...
Words: 396 - Pages: 2
...Description Sl. No District Officer Name, Address & Phone Nos 1 District officer, Minority Welfare Department, 21st Floor, V.V.Tower, Dr Ambedkar Veedi, Bangalore - 01, Bangalore Urban District, Phone No: 080-22866718 2 3 4 5 District officer, Backward Classes & Minority Welfare Department, 1st Floor, Podium Block, Bangalore-01, Bangalore Rural District, Phone No: 080-22861306 Hostels Name & Location Post Matric Hostel, Vijaynagar, Near Veeresh theatre, Bangalore - 40 Post Matric Hostel, Yelahanka, Uuppanagar, Bangalore Post Matric Hostel, Chollanayakana Nagar, Hebbal, Bangalore Post Matric Hostel, Dr. Chandrashekar Kambara Building, Kengeri, Bangalore Post Matric Hostel, Bhatarahalli, K.R.Puram, Bangalore Boys/Girls Girls Girls Boys Boys Boys Sanction Strength 75 75 100 100 50 1 6 Post Matric Hostel, Above Adarsha Bakery, 2nd Floor, Sulibele Road, Hoskote Boys 50 2 7 Post Matric Hostel, Syndicate Bank Building, 3rd Floor, Opp. J.P Hospital, Behind Mysore Bank, Paramanna Layout, Nelmangala Pre Matric Hostel, Bagalkote Town Pre Matric Hostel, Ilakala, Hunaganda Taluk Pre Matric Hostel, Bijapur Road, Near Murgod Petrol Bunk, Jamakhandi Pre Matric Hostel, Badami, Badami Taluk. Post Matric Hostel, Sector No.45, Navanagar, Bagalkote Town Post Matric Hostel, Sector No.45, Navanagar, Bagalkote Town Boys 50 8 District officer, Minority Welfare Department, District Administrative Building, Room No.104, Navanagar, Bagalkote-587101 Bagalkote District. Phone...
Words: 2643 - Pages: 11
...picosecond flashes of broad-band UV light. Although the most rational picture of sonoluminescence involves the creation of a ‘‘cold’’ dense plasma by an imploding shock wave, neither the imploding shock nor the plasma has been directly observed. Attempts to attack sonoluminescence from the perspective of continuum mechanics have led to interesting issues related to bubble shape oscillations, shock shape instabilities, and shock propagation through nonideal media, and chemical hydrodynamics. The limits of energy focusing that can be achieved from collapsing bubbles in the far-off equilibrium motion of fluids have yet to be determined either experimentally or theoretically. INTRODUCTION: LIGHT FROM FAR-OFF EQUILIBRIUM FLUID MOTION Sonoluminescence (SL) is a unique phenomenon in fluid mechanics because it evolves out of an initial state within the range of parameters described by the...
Words: 12887 - Pages: 52
...etymology of the entry and a hint of its sociolinguistic use. For example: newbie A newcomer to a chatgroup or virtual-world environment, especially one who has not yet learned the way to behave when participating in the dialogue. >>chatgroup; netiquette; virtual world (Crystal, 2004: 79) The coinage of the neologism Slexipedia compounds the acronym SL with lexipedia to provide a term to describe the Second Life-specific lexis in my corpus. In addition to providing a SL glossary according to Crystal's method (Appendix X), this chapter investigates the creative and innovative word-formation processes of SL English and Arabic vocabulary by its residents. Since use of vocabulary reflects identity (Crystal, 2001; Benwell and Stokoe, 2006; Boellstorff, 2008), the final concern of this chapter is the manner in which these SL terms are used in conversational interaction inworld, to reflect the social purposes and circumstances in which these words are utilized. Forming a coherent slexipedia will provide more insight for forming an account of SL identity, or Slidentity. It is argued by myself that communication in SL shares many attributes with internet chat, as they are both forms of CMC. However, with the influence of the virtual surroundings having graphic qualities, and the capability of communicating using both verbal and non-verbal...
Words: 11436 - Pages: 46
...Linear Programming: Using Solver in Excel Linear Programming was conceptually developed before World War II by the outstanding Russian mathematician A.N.Kolmogorov and gained its popularity ever since the development of Simplex method by George B. Dantzig in 1947. Linear programming deals with problems of maximizing or minimizing a linear function in the presence of linear equality and/or inequality constraints. In these problems, we find the optimal, or most efficient way of using limited resources to achieve the objective of the situation. Linear Programming enables users to model large and complex problems and solve in a short amount of time by the use of effective algorithm, hence it is a powerful and widely used tool in various fields such as science, industrial engineering, financial planning and management decision making. Nowadays, with the development of technology, most of the real world Linear Programming problems are solved by computer programs. Excel Solver is a popular one. We work through different examples to demonstrate the applications of linear Programming model and the use of Excel Solver for various decision making in operation and supply chain management. Components of Linear Programming model To solve the linear programming problems, we first need to formulate the mathematical description called a mathematical model to represent the situation. Linear programming model usually consists of the following components * Decision variables: These represent...
Words: 2395 - Pages: 10