pdf-ejercicios-unidad-2 compress

6. trhag uih crheah sgphrhfh fg ahfh uih fg ohs rgstrdaadmigs, fmifg bugstrg ohs rgaths fg
rgstrdaadñi y ohs smouadmigs qug shshagi;
h) 1H-6N≧5<
n) -5H + 7N≦5<
a) 7H ‑ >n ≦ <
4.Dfgiequg oh rgcdñi hanog phrh go amikuitm fg rgstrdaadmigs sdcudgitgs
1H ‑ >N≧<
>H- -8N≦><<
8H
≦87<
H, N ≧ <
86.
\hr, Dia. gs ui pgqugøm hnrdahitg fg gqudpm y bhtgrdho fg cmo. Go fdstrdnudfmr fg \hr argg
qug gxdstg ui bgrahfm thitm phrh uih nmosh fg cmo fg prgadm bmfgrhfm, oohbhfh bmfgom
gstèifhr, ambm phrh uih nmosh fg cmo fg ui prgadm hotm, oohbhfh bmfgom fg oukm. Go fdstrdnudfmr
gig thith amie hizh gi go bgrahfm qug, sd \hr pugfg hnrdahr ohs nmoshs h ui prgadm ambpgvm,
ambprhrè tmfhs ohs nmoshs qug \hr hnrdqug furhitg oms trgs bgsgs sdcudgitgs. Wi hièodsds fgthoohfm
fg oms rgqugrdbdgitms fg bhiuhaturh fdm ambm rgsuothfm oh thnoh sdcudgitg, oh auho bugstrh oms
rgqugrdbdgitms fg gbpm fg prmfuaadñi phrh ohs auhtrm mpgrhadmigs fg bhiuhaturh rgqugrdfhs y
oh gsbhadñi qug `dzm go fgphrthbgitm fg amithndodfhf fg oh amitrdnuadñi h ohs uodfhfgs pmr
nmosh;
VDGB\M FG
\^MFWAADÑI
GQVÈIFH^
OWKM
AM^VG T
VGØDFM
3/8<
8
AMQVW^HFM
VG^BDIHFM
DIQ\GAADÑI
WVDODFHF
8/>
7/5
8
>/1
8/8<
8/6
8<
4
x8
x>
Uhr. Ihbg
Gitgr ?, 9, mr 2
GQVHIFH^
^.@.Q.
OWKM
Bhxdbdzg
Amistr 8 <.
<.3<
Amistr > <.
<.7<
Amistr 1 8.
8.<<
Amistr 6 <.
<.8<
8<.<<
8.<<
<.01
<.53
<.>7
51<.<<
5<<.<<
3<0.<<
817.<<
4.<<
?2
?2
?2
?2
Go fdrgatmr fg bhiuhaturh gsbh
gsbh qug sg
fdspmifrè fg 51< `mrhs fg amrtg y tgødfm,
5<< `mrhs fg amsturh, 3<0 `mrhs fg
hahnhfm y 817 `mrhs fg dispgaadñi y
gbphqug phrh oh prmfuaadñi fg ohs nmoshs
fg cmo furhitg oms trgs bgsgs sdcudgitgs.
h. Qd oh gbprgsh qudgrg bhxdbdzhr oh amitrdnuadñi tmtho h ohs uodfhfgs, ½auèiths nmoshs fg ahfh
bmfgom fgng hnrdahr= 76< NMOQHQ GQVÈIFH^, >7> FG OWKM
n. ½Xuä amitrdnuadñi h ohs uodfhfgs pugfg mntgigr \hr ami gsths ahifhfgs fg prmfuaadñi=
3550.85
a. ½Auèiths `mrhs fg gbpm fg prmfuaadñi sg prmcrhbhrèi phrh ahfh mpgrhadñi= 51<, 60<, 3<0,
883
f. ½Auèo gs go gbpm fg `mocurh gi ahfh mpgrhadñi= <, 8><,<, 80
84. Fhfm go prmcrhbh odigho
Bhx 1 H + 6N s.h.
-8H + >N ≦0
8 H + >N ≦ 8>
> H + 8N ≦ 85
H, N ≧ <
n. ^gsugovh go prmnogbh uodzhifm go prmagfdbdgitm fg
smouadñi crèeah.
a. ½Auèogs smi oms vhomrgs fg ohs trgs vhrdhnogs fg
`mocurh gi oh smouadñi ñpbh=
-4.11, <,<, 4.11
>6. Jgosmi Qpmric Gqudpbgit, Dia. hnrdah fms pms fdgrgitgs fg cuhitgs fg ngdsnmo; ui bmfgom
rgcuohr y ui bmfgom phrh ahta`gr. Oh
gbprgsh
fdspmig
4<< `mrhs fg gbpm
fg prmfuaadñi
gi fg
su fgphrthbgitm
fg
amrtg y amigaadñi, 1<< `mrhs gi su
fgphrthbgitm fg hahnhfms y 8<< `mrhs
gi su fgphrthbgitm fg gbphqug y givâm.
Oms rgqugrdbdgitms fg gbpm fg prmfuaadñi y oh amitrdnuadñi h ohs uodfhfgs pmr cuhitg sg
prmpmradmihi gi oh thnoh sdcudgitg;
Qupmidgifm qug oh gbprgsh gstè ditgrgshfh gi
bhxdbdzhr oh amitrdnuadñi tmtho h ohs uodfhfgs, rgspmifh
om sdcudgitg;
h. ½Auèo gs go bmfgom fg prmcrhbhadñi odigho phrh gstg
prmnogbh=
n. Giaugitrg oh smouadñi ñpbh uodzhifm go
prmagfdbdgitm fg smouadñi crèeah. ½Auèitms cuhitgs fg
ahfh bmfgom fgng hnrdahr Jgosmi= 7<< ^GCWOH^ T 87<
FG AHVA@G^
a. ½Xuä amitrdnuadñi tmtho h ohs uodfhfgs pugfg mntgigr
Jgosmi ami ohs ahifhfgs fg prmfuaadñi fhfhs= 13<<
f. ½Auèiths `mrhs fg gbpm fg prmfuaadñi sg prmcrhbhrèi gi ahfh fgphrthbgitm=
5<<, 1<<, 8<<
g. ½Auèo gs go gbpm fg `mocurh gi ahfh fgphrthbgitm=
1<<, < ,<
>4. HutmDcidtg prmfuag sdstgbhs fg
giagifdfm gogatrñidam phrh
hutmbñvdogs gi uih pohith fg
Aogvgohif, M`dm. Ahfh sdstgbh fg
giagifdfm sg gishbnoh ami fms
ambpmigitgs prmfuadfms gi ohs pohiths
fg HutmDcidtg fg Nuhom, Iugvh Tmrj y
Fhytmi, M`dm. Oh pohith fg Nuhom
pugfg prmfuadr > <<< uidfhfgs fgo
ambpmigitg 8, 8<<< uidfhfgs fgo
ambpmigitg > m auhoqudgr ambndihadñi
fg oms fms ambpmigitgs ahfh fâh. \mr
gkgbpom, 5<% fgo gbpm fg
prmfuaadñi sg pmfrâh fgfdahr h
prmfuadr go ambpmigitg 8 y 6<% fgo
gbpm fg prmfuaadñi phrh prmfuadr go ambpmigitg >: gi gstg ahsm, oh pohith fg Nuhom sgrâh
ahphz fg prmfuadr <.5(> <<<) 2 8><< uidfhfgs fgo ambpmigitg 8 y <.6(8<<<) 2 6<< uidfhfgs fgo
ambpmigitg > fdhrdhbgitg. Oh pohith fg Fhytmi pugfg prmfuadr 5<< uidfhfgs fgo ambpmigitg 8,
86<< uidfhfgs fgo ambpmigitg > m auhoqudgr ambndihadñi fg oms fms ambpmigitgs fdhrdm. Ho e iho
fg ahfh fâh, oh prmfuaadñi fg ambpmigitgs fg Nuhom y Fhytmi sg givâh h Aogvgohif phrh
gishbnohr oms sdstgbhs fg giagifdfm ho fâh `èndo sdcudgitg.
h. Gohnmrg ui bmfgom fg
prmcrhbhadñi odigho qug pugfh
uodzhrsg phrh `hagr ui
prmcrhbh fg prmfuaadñi fdhrdh
phrh ohs pohiths fg Nuhom y
Fhytmi qug bhxdbdag oh
prmfuaadñi fdhrdh fg oms sdstgbhs
fg giagifdfm gi oh pohith
Aogvgohif.
n. Giaugitrg oh smouadñi ñpbh.
16. Amisdfgrg go prmcrhbh odigho
sdcudgitg;
Bdi > H + > N
s.h. 8 H + 1 N ≦8>
1 H +8 N ≧ 81
8 H - 8 N 21
H, N ≧<
h. Bugstrg oh rgcdñi hanog.
n. ½Auèogs smi oms puitms gxtrgbms
fg oh rgcdñi hanog=
(H26,N28) T (H2>8/6, N24/6)
a. Giaugitrg oh smouadñi ñpbh
bgfdhitg go prmagfdbdgitm fg
smouadñi crèe ah
H26 N28
66. Amisdfgrg go prmcrhbh odigho
sdcudgitg;
Bdi 8 H + 8 N
s.h.
7 H + 1 N ≦ 87
1 H + 7 N ≦ 87
H, N ≧<
h. ½Auèo
½Auèo gs oh smouad
smouadñi
ñi ñpbh
ñpbh phrh
phrh gstg
gstg prmno
prmnogbh=
gbh=
H2 8.00 N2 8.00: UHOM^ 2 1.37
n. Qupmich
Qupmich qug oh
oh uiadñi
uiadñi mnkgvm
mnkgvm ahbndh
ahbndh h 8H + >N. Giaugitr
Giaugitrgg oh iugvh
iugvh smouadñi
smouadñi ñpbh
ñpbh
H2< N21
UHOM^ 25
76. Khajsmi @mog Bhiuhaturdic gs ui pgqugøm hnrdahitg fg prmfuatms fg poèsam uodzhfms gi
ohs difustrdhs hutmbmtrdz y fg añbputm. Wim fg sus amitrhtms dbpmrthitgs gs ami uih gbprgsh
crhifg fg ambputhfmrhs y amisdstg gi oh hnrdahadñi fg uifhs fg poèsam phrh ohs dbprgsmrhs
pmrtèogs fg oh gbprgsh, ohs auhogs sg prmfuagi gi fms bèqudihs fg bmofgm pmr diygaadñi. Oh
bèqudih B-8<< gig uih ahphadfhf fg
prmfuaadñi fg >7 uifhs pmr `mrh y oh B><< 6< uifhs pmr `mrh. Hbnhs bèqudihs
uodzhi go bdsbm bhtgrdho quâbdam phrh
prmfuadr ohs uifhs phrh dbprgsmrh: oh B8<< uodzh 6< odnrhs fg bhtgrdh prdbh pmr
`mrh y oh B-><< 7< odnrhs pmr `mrh. Oh
gbprgsh fg ambputhfmrhs pdfdñ h
Khajsmi @mog qug prmfukgrh go bhymr
iûbgrm fg uifhs pmsdnog furhitg oh
prñxdbh sgbhih: phchrè $80 pmr ahfh
uifh qug Khajsmi @mog og gitrgcug. Qdi
gbnhrcm, oh sgbhih sdcudgitg gs ui
pgrdmfm vhahadmiho prmcrhbhfm
rgcuohrbgitg phrh oh bhymrâh fg oms
gbpoghfms fg prmfuaadñi fg Khajsmi @mog: furhitg gstg gbpm sg rghodzh go bhitgidbdgitm hiuho
fg tmfm go gqudpm fg oh pohith. Fgndfm ho pgrdmfm fg dihavdfhf pmr bhitgidbdgitm, oh B-8<<
gsthrè fdspmidnog sñom pmr 87 `mrhs y oh B-><< sñom pmr 8< `mrhs. Im mnsthitg, fgndfm ho hotm amstm
divmouarhfm gi ohs fms bèqudihs, oh cgrgiadh rgqudgrg qug, sd oh prmfuaadñi sg prmcrhbh gi
auhoqudgrh fg ohs bèqudihs, oh bèqudih fgng mpgrhrsg pmr om bgims furhitg 7 `mrhs. Go prmvggfmr
fgo bhtgrdho quâbdam uodzhfm gi go prmagsm fg prmfuaadñi dimrbñ h Khajsmi @mog qug fdspmifrè
fg ui bèxdbm fg 8<<< odnrhs fg bhtgrdho phrh oh prmfuaadñi fg oh sgbhih sdcudgitg: go amstm fg
gsth bhtgrdh prdbh gs $5 pmr odnrh. Hfgbès fgo amstm fg oh bhtgrdh prdbh, Khajsmi @mog gsbh qug
oms amstms pmr `mrh fg mpgrhadñi fg oh B-8<< y oh B-><< smi $7< y $37, rgspgavhbgitg.
h. Emrbuog ui bmfgom fg prmcrhbhadñi odigho qug pugfh uodzhrsg phrh bhxdbdzhr oh amitrdnuadñi
h ohs uodfhfgs.
n. Giaugitrg oh smouadñi ñpbh.
B82 8>.7 B>2 8<
UHOM^ 2 767<