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User talk:Schyler

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'PLEASE ADD ALL NEW ENTRIES AT THE BOTTOM.'    Thank you. Also, please no Esperanza notes. I akeed to be taken off the newsletter a while ago and I took my name off the list. I have better things to do other than telling people to calm down.

Schyler

Please leave new comments not related to existing ones by clicking add a new section or the [+] tab above.


Here is/are my archive/s:

  1. From November 27 to February 10: archive 1



Contents

[edit] Do you want this image still?

Image:Anti-gay.jpeg - it is about to be deleted. --Thorpe | talk 19:28, 11 February 2006 (UTC)

[edit] Another Esperanzial note...

Hi again Esperanzians! Well, since our last frolic in the realms of news, the Advisory Council has met twice more (see WP:ESP/ACM2 and WP:ESP/ACM3). As a result, the charter has been ammended twice (see here for details) and all of the shortcuts have been standardised (see the summary for more details). Also of note is the Valentines ball that will take place in the Esperanza IRC channel on the 14th of February (tomorrow). It will start at 6pm UTC and go on until everyone's had enough! I hope to see you all there! Also, the spamlist has been dissolved - all Esperanzians will now recieve this update "newsletter".

The other major notice I need to tell you about is the upcoming Esperanza Advisory Council Elections. These will take place from 12:00 UTC on February 20th to 11:59 UTC on February 27th. The official handing-over will take place the following day. Candidates are able to volunteer any time before the 20th, so long as they are already listed on the members list. Anyone currently listed on the memberlist can vote. In a change since last time, if you have already been a member of the leadership, you may run again. Due to the neutrality precident, I will not vote for anyone.

Yours, as ever, Esperanzially,
--Celestianpower háblame 09:00, 13 February 2006 (UTC)
(message delivered by FireFox using AWB on Celestianpower's behalf)

[edit] Esperanza Newsletter, Issue #1

Reach out is a program aimed at allowing users to bring issues that they have had in Wikipedia to a listening, sympathetic and caring audience:
"No one can know how we feel if we do not say. We cannot expect to get understanding if we do not ask for it. No one will dispute that sometimes life's issues are too much for one person. It is fair to say that sometimes Wikipedia's problems fall under the same heading. This is a place where you can bring the bruises that can sometimes be got on this project for attention."
The Stress alerts program aims at identifying users who are stressed, alerting the community of thier stress and works in tandem with the Stressbusters at trying to identify causes of stress and eliminating them.
Note from the editor
Welcome to this new format of the Esperanza Newsletter, which came about during the last Advisory Council meeting - we hope you like it! The major changes are that each month, right after the Council meeting, this will be sent out and will include two featured programs and a sum up of the meeting. Also, it will be signed by all of the Advisory Council members, not just Celestianpower. Have an Esperanzial end of March, everyone!
  1. Future meetings are to be held monthly, not fortnightly as before.
  2. Bans and Access level changes (apart from autovoice) in the IRC channel are to be reported at the new log.
  3. In the IRC channel, there is going to be only one bot at a time.
  4. The charter requires members to have 150 edits and 2 weeks editing. Why this is the case will be clarified.
  5. A new Code of Conduct will be drafted by JoanneB and proposed to the Esperanza community.
  6. The NPA reform idea is to be dropped officially.
  7. Charter ammendments are to be discussed in future, not voted on.
  8. The Advisory Council is not going to be proposed to be expanded by the Advisory Council themselves, if others want to propose it, they will listen.
Signed...
Celestianpower, JoanneB, Titoxd, KnowledgeOfSelf and FireFox 17:47, 26 March 2006 (UTC)

[edit] Your school's stuff

Cool link man. Thanks. Also, I might add that when I took that "How will you die" test, I got like 90% by gunshot. :P -- Mac Davis] ⌇☢ ญƛ. 10:32, 28 March 2006 (UTC)

[edit] Esperanza Newsletter, Issue #2

The Barnstar Brigade is a new program aimed at giving more very deserving yet unappreciated users barnstars. It will officially start on 2006-04-09, but signing up is encouraged before this date:
"Here in Wikipedia, there are hundreds of wikipedians whose work and efforts go un-appreciated. One occasionally comes across editors who have thousands of good edits, but because they may not get around as much as others, their contributions and hard work often go un-noticed. Sadly, these editors often leave the project. As Esperanzians, we can help to make people feel appreciated, be it by some kind words or the awarding of a Barnstar. A project the size of Wikipedia has thousands of editors, so there are plenty of people out there who deserve recognition, one just has to find them. The object of this program is not to flood editors with Barnstars, but to seek out people who deserve them, and make them feel appreciated."
The Stress alerts program aims at identifying users who are stressed, alerting the community of thier stress and works in tandem with the Stressbusters at trying to identify causes of stress and eliminating them.
Information
Welcome to the second issue of the new format Esperanza Newsletter - we hope you still like it! This week, it was delivered diligently by our new dogsbody. MiszaBot (run by Misza13): any execution complaints should go to him. Content comments should be directed at the Esperanza talkpage. Thanks!
  1. The next elections: Approval voting as before and, also as before, an previous leadership member can run. Please submit your name for voting in the relevant section of this page. Voting starts on 2006-04-23 and ends on 2006-04-30. There will be three places up for grabs as KnowledgeOfSelf is leaving Wikipedia. Please see the previously linked page for full details.
  2. The Code of Conduct is now ready for extensive discussion! Specific comments should go to the Code of Conduct talk page, discussion of having one at all should be directed to the main Esperanza talk page.
  3. The current process for accepting proposals for new programs has been deemed fine. All Advisory Council members and the Admin Gen are to endevour to be bold when viewing discussion. If they feel that consensus has been reached, they will act accordingly.
A plea from the editor...
The propsed programs page is terribly underused! Please leave any comments, good or bad, on the page, to help us determine the membership's thoughts on the ideas there.
Signed...
Celestianpower, JoanneB, Titoxd, KnowledgeOfSelf and FireFox 19:53, 6 April 2006 (UTC)

[edit] Heh...

I'm glad you liked it. I stumbled on your user page in my referrer logs just a few moments ago. :) æle  2006-04-08t22:58z

Oh, and did you mean for the new thread links at the top to link to AlMac's pages? æle  2006-04-08t22:59z

[edit] Old Skool Esperanzial note

Since this isn't the result of an AC meeting, I have decided to go Old Skool. This note is to remind you that the elections are taking place now and will end at 23:50 UTC on 2006-04-29. Please vote here. Thanks. --Celestianpower háblame 20:42, 23 April 2006 (UTC)

[edit] Scouting article work

If you are getting this, it is because you do or did work on Scouting articles (see Wikipedia:WikiProject_Scouting#Participants_and_primary_areas_of_interest).

As the Scouting WikiProject has been formed since early January 2006, we've had many great improvements made in this area of Wiki and I want to personally thank everyone for their help. We don't always agree on things, but we keep moving forward. YIS, Rlevse 22:09, 25 April 2006 (UTC)

[edit] Your user page

Schyler,

I came across your user page because I'm a regular at the science reference desk, and I saw your post there. Also, if you check your archive, you'll remember that we've had a fair amount of correspondence in the past. :o) I'm glad you're still enjoying Wikipedia, and always feel free to leave me a message. EWS23 | (Leave me a message!) 16:15, 6 May 2006 (UTC)

[edit] Esperanza Newsletter, Issue #3

The Administrator Coaching program is a program aimed at preparing Wikipedians for Adminship or helping them understand the intricacies of Wikipedia better. Recently, changes have been made to the requirements of coachees. Please review them before requesting this service.
This would be something like the Welcoming Committee, but for people who have figured out the basics of editing articles; they're not newcomers any more, but they might want some help in learning new roles. Some might like suggestions about how to learn vandal patrol, or mentoring on taking an article to featured status, or guidance with a proposal they plan to make at the Village Pump, for example. In this way, Esperanza would help keep hope alive for Wikipedia because we would always be grooming the next generation of admins.
Stressbusters
The Stressbusters are a subset of Esperanza aiming to investigate the causes of stress. New eyes on the situation are always welcome!
Note from the editor
As always, MiszaBot handled this delivery. Thank you! Also, congratulations go to Pschemp, Titoxd and Freakofnurture for being elected in the last elections! An Esperanzial May to all of the readership!
  1. Posting logs of the Esperanza IRC channel are explicitly banned anywhere. Violation of this rule results in deletion and a ban from the channel.
  2. A disclaimer is going to be added to the Esperanza main page. We are humans and, as such, are imperfect.
  3. Various revisions have been made to the Code of Conduct. Please see them, as the proposal is ready to be ratified by the community and enacted. All members will members to have to re-confirm their membership after accepting the Code of Conduct.
  4. Referendums are to be held on whether terms of AC members should be lengthened and whether we should abolish votes full stop.
  5. Admin Coaching reform is agreed upon.
Signed...
Celestianpower, JoanneB, Titoxd, Pschemp and Freakofnurture
20:29, 7 May 2006 (UTC)

[edit] License tagging for Image:Unknown.ogg

Thanks for uploading Image:Unknown.ogg. Wikipedia gets hundreds of images uploaded every day, and in order to verify that the images can be legally used on Wikipedia, the source and copyright status must be indicated. Images need to have an image tag applied to the image description page indicating the copyright status of the image. This uniform and easy-to-understand method of indicating the license status allows potential re-users of the images to know what they are allowed to do with the images.

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This is an automated notice by OrphanBot. If you need help on selecting a tag to use, or in adding the tag to the image description, feel free to post a message at Wikipedia:Media copyright questions. 01:05, 9 May 2006 (UTC)

[edit] Machine translation

Please, avoid using machine translations when translating an article from another wikiproject as you did in Universidad Nacional de La Plata, because it introduces a series of errors that are hard to detect, making it preferable to translate them from the original language, since such articles are usually abandoned in a bad state. Thanks, Mariano(t/c) 16:19, 9 May 2006 (UTC)

No problem, just letting you know. Good wiking, Mariano(t/c) 06:57, 10 May 2006 (UTC)

[edit] What does it mean though?

It's an extended chord. Fb-major-13 is all the notes of the Fb major scale taken together as a chord: Fb, Ab, Cb, Eb, Gb, Bbb, Db. -sharp-9-sharp-11 means the ninth and the eleventh are sharpened: Gb -> G and Bbb -> Bb. So Fb-major-13-sharp-9-sharp-11 is Fb, Ab, Cb, Eb, G, Bb, Db. —Keenan Pepper 02:22, 17 May 2006 (UTC)

It's totally inappropriate terminology, but it works. =P —Keenan Pepper 02:23, 17 May 2006 (UTC)

Not necessarily an augmented interval, but whatever the default interval for that chord is, increased by one semitone. —Keenan Pepper 13:30, 17 May 2006 (UTC)

[edit] Image Tagging for Image:Teabagging.gif

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[edit] Image:H3announcement.ogg listed for deletion

An image or media file that you uploaded, Image:H3announcement.ogg, has been listed at Wikipedia:Images and media for deletion. I nominated it for deletion as you gave it under Template:GFDL-self but the copyright must be owned by Microsoft/Bungie. Thank you.

Рэдхот 17:22, 10 June 2006 (UTC)

[edit] A short Esperanzial update

As you may have gathered, discussions have been raging for about a week on the Esperanza talk page as to the future direction of Esperanza. Some of these are still ongoing and warrant more input (such as the idea to scrap the members list altogether). However, some decisions have been made and the charter has hence been amended. See what happened. Basically, the whole leadership has had a reshuffle, so please review the new, improved charter.

As a result, we are electing 4 people this month. They will replace JoanneB and Pschemp and form a new tranche A, serving until December. Elections will begin on 2006-07-02 and last until 2006-07-09. If you wish to run for a Council position, add your name to the list before 2006-07-02. For more details, see Wikipedia:Esperanza/June 2006 elections.

Thanks and kind, Esperanzial regards, —Celestianpower háblame 16:00, 23 June 2006 (UTC)

[edit] WRONG MEDICAL ADVISE

What you did just now at the reference desk is unforgivable. While attempting a silly joke, you gave wrong medical advise. I had anticipated people throwing medical disclaimers at me and not wanting to answer my question, but you suggested a dosage that was way too high (although not so high it was totally unbelievable, which makes it worse). DON'T EVER DO THAT AGAIN! DirkvdM 07:23, 3 July 2006 (UTC)

[edit] August Esperanza Newsletter

Program Feature: To-Do List
The Esperanza To-Do List is a place where you may list any request, big or small, for assistance. If you need help with archiving your usertalk, for example, all you need to do is list it here and somebody will help you out. Likewise, if you need help with some area of editing on Wikipedia, list it here! Again, any matter, trivial or not, can be placed on this page. However, all matters listed on this page must not be of an argumentative nature. You do not need to be a member of Esperanza (or this program) to place or fulfill requests on this page. If you don't have any requests, consider coming by and fulfilling a few! This program has not been very active, but has lots of potential!
What's New?
In order to help proposed programs become specific enough to make into full-fledged programs, the In development section of the proposals page has been created. Proposals that are promising, but need to be organized in more detail are listed here. Please take a look at what is there, and help the proposals turn into programs.
To improve both the layout and text of the front page, in an attempt to clarify the image of Esperanza, the front page is going to have some redesigning take place. Please take your creative minds to Wikipedia:Esperanza/Front page redesign to brainstorm good ideas.
Many thanks to MiszaBot, courtesy of Misza13, for delivering the newsletter.
  1. In order to make sure all users who join Esperanza are welcomed, a list of volunteers who are willing to welcome new Esperanzians is at Wikipedia:Esperanza/Members#Esperanza_welcomers. Please add yourself if you are interested; we want to make sure all new Esperanza members are welcomed!
  2. The In development section of the proposals page has been created.
  3. Proposals page: Some proposals have been moved to the aforementioned "In development" section, some have been left as a proposal, and others have been archived. For those proposals that were a good idea but didn't necessarily constitute a program, General Esperanzial Actions has been created.
  4. Two small pieces of charter reform will be decided on in a straw poll at Wikipedia talk:Esperanza/Governance. One involves filling the position of any councillors who may leave, the other involves reforming the charter.
  5. Until cooperation with the Kindness Campaign is better defined, it remains as a proposed program.
  6. There is a page for discussing the front page redesign.
Signed...
Natalya, Banes, Celestianpower, EWS23, FireFox, Freakofnurture, and Titoxd
05:03, 14 August 2006 (UTC)
Although having the newsletter appear on everyone's userpage is desired, this may not be ideal for everyone. If, in the future, you wish to receive a link to the newsletter, rather than the newsletter itself, you may add yourself to Wikipedia:Esperanza/Newsletter/Opt Out List.

[edit] September Esperanza Newsletter

Program Feature: Barnstar Brigade
Here in Wikipedia there are hundreds of wikipedians whose work and efforts go unappreciated. One occasionally comes across editors who have thousands of good edits, but because they may not get around as much as others, their contributions and hard work often go unnoticed. As Esperanzians we can help to make people feel appreciated, be it by some kind words or the awarding of a Barnstar. This is where the Barnstar Brigade comes in. The object of this program is to seek out the people which deserve a Barnstar, and help them feel appreciated. With your help, we can recognize more dedicated editors!
What's New?
September elections are upon us! Anyone wishing to be a part of the Advisory Council may list themselves as a candidate from 18 September until 24 September, with the voting taking place from 25 September to 30 September. Those who wish to help with the election staff should also list themselves!
Appreciation Week, a program currently in development, now has its own subpage! Share your good ideas on how to make it awesome there!
The Esperanza front page has been redesigned! Many thanks to all who worked hard on it.
Many thanks to MiszaBot, courtesy of Misza13, for delivering the newsletter.
  1. The proposals page has been updated, with some proposals being archived.
  2. Since the program in development Appretiaion week is getting lots of good ideas, it now has its own subpage.
  3. The September 2006 Council elections will open for nominations on 18 September 2006. The voting will run from 25 September 2006 until 30 September 2006. If you wish to be a candidate or a member of the elections staff, please list yourself!
  4. The new Esperanza front page design has but put up - many thanks to all who worked on it!
  5. TangoTango has written a script for a bot that will list new members of Esperanza, which will help those who welcome new Esperanzains greatly!
Signed...
Natalya, Banes, Celestianpower, EWS23, FireFox, Freakofnurture, and Titoxd
04:04, 18 September 2006 (UTC)
Although having the newsletter appear on everyone's userpage is desired, this may not be ideal for everyone. If, in the future, you wish to receive a link to the newsletter, rather than the newsletter itself, you may add yourself to Wikipedia:Esperanza/Newsletter/Opt Out List.

[edit] 5th bullet

I'm a bit puzzled by this edit. For me the 5th bullet on the left side states: Please don't write in ALL CAPITAL LETTERS. I assume you're referring to the homework clause. But what makes you think it's homework? The question appears unanswerable to me. If it is homework, then it is a stupid assignment.  --LambiamTalk 00:09, 1 October 2006 (UTC)

[edit] thats cool

hAy yO JuSt wAnNa sAy wASs...Up and see how you pepz roll out there in the geto just wanna say keep it real and keep it gansta hard hard will gota go llllllllllllaaaaaaaaaaaattttttttttteeeeeeeeeeerrrrrrrrrzzzzzzzz.....

[edit] November Esperanza Newsletter

For your reading pleasure, the newest Esperanza newsletter (November '06 edition) can be found at Wikipedia:Esperanza/Newsletter. —Natalya, Banes, Celestianpower, EWS23, FireFox, The Halo, Shreshth91 and HighwayCello, 20:33, 1 November 2006 (UTC)

[edit] Shtuff to do in NYC in Spring

Lived in NYC for a short while, and here were some of our standards for introducing friends and family to the city:

Really good food:

  • Amazingly good Pastrami, not to be missed: Katz's Deli
  • Tremendous, very traditional New York style pizza (and my personal favorite): Lombardi's. Be sure to try the plain old margherite. Yum.
  • Thai food: it's upscale and a bit yuppy, but I love Rain on 82nd st.
  • Brazilian cuisine from little Brazil, and my favorite steak in town (and that's saying a lot in NYC!): Emporium Brasil. For a steak you will remember, order the picanha na grelha.
  • Spring break? Soup Kitchen International may still be open - it's a seasonal sidewalk restaurant with amazing soup. Seinfeld's Soup Nazi was patterened after this.
  • If you're cucoo for good cheese (like me), plan on visiting Artisanal. It's got the feel of a Parisian bistro, and a menu to match. But I usually skip the food and head to the wines and cheeses. Around 100 wines available by the glass, and a fromagere with unusually good taste.

Fun outings:

  • Subway to Brooklyn Heights. Architectural tour of Brownstones, followed by a walk across the Brooklyn Bridge into Manhattan. From there, it's an easy walk through Wall Street, Trinity Church, then Ground Zero and over to Battery Park. Count on 3-5 hours, depending upon your interest in each of those locations.
  • Yankee Stadium or Shea Stadium if there's a home game
  • In springtime, the Brooklyn Botanical Gardens are amazingly beautiful.
  • Several good farmers markets pop up all over town on weekends. Union Square has one that's small but nice.
  • Broadway, of course.
  • The Lower East Side is a trip not to miss. Be sure to stop at Kossar's for one of NYC's best bagels. Also, several pickle shops which give you an opportunity to sample a truly regional cuisine.
  • Bars? Nightclubs? Waaay too many to present you with any kind of a meaningful list. I personally enjoy d.b.a. on 1st avenue for beers and single-malts. For a little clubbier scene, perhaps the Hudson Hotel. I hear the Ford Models agency often houses their talent there. Don't know if it's true, but it always seems to be full of beautiful people. They have a great 2nd-story courtyard that is wonderful if the weather is warm.

dpotter 00:58, 28 November 2006 (UTC)

[edit] Health Wiki Research

A colleague and I are conducting a study on health wikis. We are looking at how wikis co-construct health information and create communities. We noticed that you are a frequent contributor to Wikipedia on health topics.

Please consider taking our survey here.

This research will help wikipedia and other wikis understand how health information is co-created and used.

We are from James Madison University in Harrisonburg, Virginia. The project was approved by our university research committee and members of the Wikipedia Foundation.

Thanks, Corey 16:28, 8 December 2006 (UTC)

[edit] Article in need of cleanup - please assist if you can

[edit] Orphaned fair use image (Image:Thingsfallapartcover.jpg)

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[edit] Please keep your Mac sandboxing off the reference desk.

Thank you. --Wooty Woot? contribs 03:01, 2 February 2007 (UTC)

[edit] Image copyright problem with Image:BizzareThingy.jpg

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[edit] Fair use rationale for Image:Los_Elefantes.ogg

Thanks for uploading Image:Los_Elefantes.ogg. I notice the image page specifies that the image is being used under fair use but there is no explanation or rationale as to why its use in Wikipedia articles constitutes fair use. In addition to the boilerplate fair use template, you must also write out on the image description page a specific explanation or rationale for why using this image in each article is consistent with fair use.

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If you have uploaded other fair use media, consider checking that you have specified the fair use rationale on those pages too. You can find a list of 'image' pages you have edited by clicking on the "my contributions" link (it is located at the very top of any Wikipedia page when you are logged in), and then selecting "Image" from the dropdown box. Note that any fair use images uploaded after 4 May, 2006, and lacking such an explanation will be deleted one week after they have been uploaded, as described on criteria for speedy deletion. If you have any questions please ask them at the Media copyright questions page. Thank you. ShakespeareFan00 10:48, 13 May 2007 (UTC)

[edit] WikiProject Halo

Wikiproject Halo
Call to Members

In order to streamline and coordinate further improvement to Halo-related articles, there is an active roll call to all Wikipedians who put themselves down as participants. To show your continued involvement in the project, simply go here and sign your name. If you do not wish to be active, et al, simply ignore this notice and you will not be bugged again. Thanks, David Fuchs (talk / frog blast the vent core!)

[edit] Non-free use disputed for Image:Zombiesurvivalguide.jpg

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If it is determined that the image does not qualify under fair use, it will be deleted within a couple of days according to our Criteria for speedy deletion. If you have any questions please ask them at the Media copyright questions page. Thank you.BetacommandBot 11:21, 6 July 2007 (UTC)

Welcome to Wikipedia. Everyone is welcome to contribute constructively to the encyclopedia. However, we remind you not to attack other editors, as you did on Wikipedia:Reference desk/Mathematics. Please comment on the contributions and not the contributors. Take a look at the welcome page to learn more about contributing to this encyclopedia. Thank you.--YbborTalk 20:33, 30 September 2007 (UTC)

[edit] It's homework, but I need help!

I think you need to study, in particular, quadratic equation. If you can solve quadratic equations, you can do most of these exercises.

1.(3) Write f(x) = x^3 - 6x^2 + 12x - 5\,\! in the form f(x) = (x-k)q(x)+r\,\! when k = 3\,\!

The phrase "in the form f(x) = (x-k)q(x)+r\,\! when k = 3\,\!" means the same as: "in the form f(x) = (x-3)q(x)+r\,\!". See Polynomial division. You have to divide f(x)\,\! by g(x) = (x-3).\,\!

2.(4) Write the quadratic function, f(x) = 2x^2 + 8x + 17 \,\!, in standard form. THen find the vertex, axis of symmetry, and x-intercepts. (on this problem I think I remember soemthign about (-h,k) or something)

I am not sure what is meant by "standard" in the course you are taking, but possibly it means, write f(x)\,\! in the form f(x) = a(x-p)^2 + q\,\!. In that case the vertex is reached when x = p\,\!, and then f(p) = q\,\!. The graph of a quadratic function is a parabola, and if the vertex is at x = p\,\!, then that is also the equation of the axis of symmetry. The x-intercepts are the same as the zeros of f\,\!, which you find by solving the quadratic equation f(x) = 0\,\!.

3.(19) A rectangular field has a perimeter of 306 feet and is to have an area at least 5670 square feet. Within what bounds must the length, x, of the rectangular field lie?

Call the length and width of the field a\,\! and b\,\!. Then the perimeter is P = 2(a+b)\,\! and the area is A = ab\,\!. Let us take "foot" as the unit, so P = 306\,\! and A \geq 5670\,\!. Combining that with the formulas for P\,\! and A\,\!, we have:
2(a+b) = 306\,\! and ab \geq 5670\,\!.
We have two unknowns, a\,\! and b\,\!, but using the first equation we can eliminate one of the two; it does not matter which one. Let us eliminate b\,\!. The first equation tells us that a+b = 306/2 = 153\,\!, so b = 153-a\,\!. Plugging this into the other equation, we get
a(153-a) \geq 5670\,\!.
Expand this, bring everything to one side, and you have a standard quadratic inequality, which can be solved just as the next one.

4.(26) Solve: x^2-5x-24<0\,\! (do I jsut factor and the answer is (x+3)(x-8)\,\!?)

The factorization is correct, but you forgot the "< 0" part. x^2-5x-24 = (x+3)(x-8)\,\!, so x^2-5x-24<0\,\! is the same as:
(x+3)(x-8) < 0\,\!.
If the problem had "= 0", the answer would be: x=-3\,\! or x=8\,\!, since these are the two values for x\,\! for which the product (x+3)(x-8)\,\! is equal to 0. But you need to have "< 0". If you look at the graph of a tame function such as we have here, the sign of the function value can only change at the points where the function has a zero. The two zeros x=-3\,\! and x=8\,\! cut open the x-axis into three more parts: x < -3\,\!, -3 < x < 8\,\!, and x > 8\,\!. Inside each of these three parts, the function does not change its sign; it is either < 0 or > 0 there. Which it is, you can test by computing the function values for some x\,\! inside each part, for example f(-10)\,\!, f(0)\,\!, and f(10)\,\!.

5.(27) Solve:  4.1x^2 - 7.1 < -3.1x\,\!

See above: bring everything to one side and solve as before. You can simplify the calculations somewhat by multiplying everything by 10 first.

6. (20) Find the domain and range of the function. q(x) = (3x)/(x+8)\,\!

See domain and range. You can't divide by zero, so you must exclude such values from the function domain as make the divisor x+8\,\! equal to 0. What happens to q(x)\,\! as x\,\! goes to infinity? Since x cannot actually reach infinity, perhaps q(x)\,\! can't reach the value either it tends to as x\,\! gets larger and larger. If b\,\! is that value (or any other value), and you can't solve the equation q(x)=b\,\! for x\,\!, you know that b\,\! is not in the range. If you can solve the equation, then b\,\! is in the range.

7. (21) Find the domain of the function. f(w) = \sqrt{25-w^2}\,\!

Here the issue is that you can't take the square root of a negative value. So the domain consists only of the values for w\,\! such that 25-w^2\,\! is zero or positive.

I hope this helps you on the way. Good luck with the test.  --Lambiam 21:03, 30 September 2007 (UTC)

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