首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x + 3y = 60. Which of the following points lie i
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x + 3y = 60. Which of the following points lie i
admin
2017-10-16
60
问题
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x + 3y = 60. Which of the following points lie inside region R ? Indicate all such points.
选项
A、(2,18)
B、(5,12)
C、(10,7)
D、(12,3)
E、(15,2)
答案
B,D
解析
Consider the three lines that bound triangular region R. The line x = 0 is the y-axis, and the line y = 0 is the x-axis. The line 4x + 3y = 60 intersects the x-axis at(15, 0)and intersects the y-axis at(0, 20). The figure below shows region R.
From the figure, you can see that all points inside region R have positive coordinates and lie below the line 4x + 3y = 60. Note that the equation 4x + 3y = 60 can be rewritten in the form y =
. In this form, you can see that points inside region R satisfy the inequality y <
. Since all of the answer choices have positive coordinates, you need only to check whether the coordinates in each answer choice satisfy the inequality y<
, or equivalently 4x+ 3y<60.
Choice A,(2, 18): 4x + 3y = 4(2)+ 3(18)= 62>60. So Choice A is not in region R.
Choice B,(5, 12): 4x + 3y = 4(5)+ 3(12)= 56<60. So Choice B is in region R.
Choice C,(10, 7): 4x + 3y = 4(10)+ 3(7)= 61>60. So Choice C is not in region R.
Choice D,(12, 3): 4x + 3y = 4(12)+3(3)= 57 < 60. So Choice D is in region R.
Choice E,(15, 2): 4x + 3y = 4(15)+3(2)= 66 > 60. So Choice E is not in region R.
Thus the correct answer consists of Choices B and D.
This explanation uses the following strategies.
Strategy 3: Translate from an Algebraic to a Graphical Representation
Strategy 8: Search for a Mathematical Relationship
转载请注明原文地址:https://kaotiyun.com/show/frkO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
Ihaveafriendwhoputhercareeronholdaftershegotmarriedandhadchildren.Shestayedathomeuntiltheoldestwasfour
Tourismhasbecomeaverybig【C1】______.ForSpain,ItalyandGreeceitisthelargest【C2】______offoreignexchange,andevenfo
DeathValleyisoneofthemostfamousdesertsintheUnitedStates,coveringawideareawithitsalkalisand.Almost20percen
Insuranceisthesharingofrisks.Nearlyeveryoneisexposedtoriskofsomesort.Thehouse-owner,forexample,knowsthathi
Youfeelhappiestwhenyoucreateahealthybalancebetweengivingandreceiving.Ifyougiveandgivewithoutmakingtimetofi
Inasecond-handbookshop,Billycameacrossabookwhichhethoughtwascertainlya______edition.
Ted:Excuseme,canyoutellmewherethenearestrestaurantis?Smith:Oh,therestaurant?ThenearestoneistheCityRestaura
Theresultsofthesurveyareinterestingandthey______morequestionsthantheycananswer.
Packagingisaveryimportantformofadvertising.Apackagecansometimesmotivatepeopletobuyproducts.Forexample,alittl
IntriangleABCabove,if∠BADand∠ADBhavemeasuresof4n,∠ACBhasameasureofn,and∠DBChasameasureof45°,whatisthe
随机试题
Yearsago,acigarettecommercialaskedifyouweresmokingmore,butenjoyingitless.Thatdescribesthewaymanyofuslivet
6岁急性肾炎患儿,水肿明显,每日尿量200ml,血压155/105mmHg,呼吸困难,恶心,呕吐,头昏伴惊厥1次。患儿肾脏最可能的病理改变是
更易转变为恶性黑色素瘤的是
下列哪些情形不属于预备犯?
理解与把握非言语行为时,应注意的问题有()。
若x=3,则代数式的值为().
评析“最近发展区”理论在学前儿童教育中的作用和意义。
“阳光是最好的防腐剂,政府的权力运行过程公开透明就会大大地降低腐败发生的几率。”这是因为,权力运行过程公开透明才能()。
认为人类个体生而具有一个“语言获得装置”(LAD)的学者是
"Poverty",wroteAristotle,"istheparentofcrime."Butwasheright?Certainly,povertyandcrimeare【C1】______.Andtheidea
最新回复
(
0
)