1. It takes Ghel 15mins to arrange 100 books. Working together, it takes Ghel and Mike 8mins toarrange 80 books. How long will it take Mike to arrange 50 books by himself?
1. It takes Ghel 15mins to arrange 100 books. Working together, it takes Ghel and Mike 8mins toarrange 80 books. How long will it take Mike to arrange 50 books by himself?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![ENRIQUE C. Nicol Jr. and MARIA ROSEMARIE PIALDAAAN 3INAM2OR AURAM GENERAL MATHEMATICS
COLUMBAN COLLEGE INC., OLONGAPO CITY
SENIOR HIGH SCHOOL - BASIC EDUCATION DEPARTMENT ASINAN
LEARNER'S MODULE
Name of the Student
Section:
[150 - 20x/x] <o
If we take left hand side to be a rational function, we need to keep in mind that the applied domain
of the problem is x>0. This means we consider only positive half of the number line for our sign
diagram. Setting the given to zero gives 150 – 20x = 0, so that x = 15/2 or 7.5. The test intervals on
our domain are (o, 7.5) and (7.5, x). We can find that the solution lies on (7.5, x). It only means
that we need to produce more than 7.5 systems to achieve the target. Since it doesn't make sense
noindeto produce half a system, our final answer is [8, c).
STUDENT PLAYSHOP: WRITTEN WORKS
As a dependable Columbanite, solve the following problems.
al g aunl
Sonil
1. It takes Ghel 15mins to arrange 100 books. Working together, it takes Ghel and Mike 8mins
toarrange 80 books. How long will it take Mike to arrange 50 books by himself?
noituloe s lon al A Invistai andT
min to
RATIUSTO2s0
2. Student A and B can fill a water tank in 12hours. Student A can fill the tank x hours
andStudent B in 4x hours. How long will Student A fill the tank alone?
(4+5)\(4-3)-e\r
notnloe s Jon srO Isvislai audT
(6-1- (8 8-)8(s}
with
noitelen levisini mi ewenA.a
TAL TO MOTTADLI9IA
aningfu
alto e
va II. Solve each inequality using 5 steps.
LMAXI
1. *+12 > 0 8(O on lspol
5x+4
2.
3x+2
buthen the entdengisinlbne00( fo2 d
noituloe
al0 lo niemob aT (oar + zo8) - ()) nisido ow x )-00mo
.0)00xsd of niemob wo jog ow (x)) 1ol anoldong asaue
ngalityathetheentre interv
001 x\ (oar + xo8)]
AUTHOR
SUBJECT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb56c18e0-0c27-4828-8f24-05bfca4b987a%2Fca063d7c-7d1b-4764-8de4-b3ef53a661d2%2Fo2seoo8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ENRIQUE C. Nicol Jr. and MARIA ROSEMARIE PIALDAAAN 3INAM2OR AURAM GENERAL MATHEMATICS
COLUMBAN COLLEGE INC., OLONGAPO CITY
SENIOR HIGH SCHOOL - BASIC EDUCATION DEPARTMENT ASINAN
LEARNER'S MODULE
Name of the Student
Section:
[150 - 20x/x] <o
If we take left hand side to be a rational function, we need to keep in mind that the applied domain
of the problem is x>0. This means we consider only positive half of the number line for our sign
diagram. Setting the given to zero gives 150 – 20x = 0, so that x = 15/2 or 7.5. The test intervals on
our domain are (o, 7.5) and (7.5, x). We can find that the solution lies on (7.5, x). It only means
that we need to produce more than 7.5 systems to achieve the target. Since it doesn't make sense
noindeto produce half a system, our final answer is [8, c).
STUDENT PLAYSHOP: WRITTEN WORKS
As a dependable Columbanite, solve the following problems.
al g aunl
Sonil
1. It takes Ghel 15mins to arrange 100 books. Working together, it takes Ghel and Mike 8mins
toarrange 80 books. How long will it take Mike to arrange 50 books by himself?
noituloe s lon al A Invistai andT
min to
RATIUSTO2s0
2. Student A and B can fill a water tank in 12hours. Student A can fill the tank x hours
andStudent B in 4x hours. How long will Student A fill the tank alone?
(4+5)\(4-3)-e\r
notnloe s Jon srO Isvislai audT
(6-1- (8 8-)8(s}
with
noitelen levisini mi ewenA.a
TAL TO MOTTADLI9IA
aningfu
alto e
va II. Solve each inequality using 5 steps.
LMAXI
1. *+12 > 0 8(O on lspol
5x+4
2.
3x+2
buthen the entdengisinlbne00( fo2 d
noituloe
al0 lo niemob aT (oar + zo8) - ()) nisido ow x )-00mo
.0)00xsd of niemob wo jog ow (x)) 1ol anoldong asaue
ngalityathetheentre interv
001 x\ (oar + xo8)]
AUTHOR
SUBJECT
![Solution:
Tete average cost of producing x: cars per week is: C'(x) = (15, 000 + 500x) / x
t we want for the average production cost per car to be P 1, 000, we set up the following equation:
Insshict
aib oels
1, 000 = [(15, 000 + 500x) / x]
1, 000x = 15, 000 + 500x
500x = 15, O00
x = 30
multiplying both side by x
combining like terms
warte Ino
odi montetovn simplifying
The factory must produce 30 cars per week.
Ilw sw
not rdoidw al ooltonul a ai VOTOKU
STUDENT PLAYSHOP: WRITTEN WORKSc binls
uteimedtoo
oboiAs a dependable Columbanite, solve the following rational function. Find the (a) domain and
range, (b) the zeros of the function, (c) location of the vertical asymptote and holes, and (d) the
horizontal asymptote or oblique asymptote. Show your complete and neat solution.
x2+6x+9
1. f(x) =
lo ainomalo bnoose bas teh
x²_ 4x-5
oTow
pe aicrou CU non dms bre
oele ei avods boniteb as mobom o to sasuni odd el MOO VV arfT
art lo nvai bns Ienisio adigonia notoru ount at svods olqmsxe svig odT noltonul
noionu s dtod bsouborq lanigho
one
Saro
to-one fun
have an ine
ut ot loups a moltonu munt sn as best ni al ( d belonab el il
Remem
x2-8x+16
x2-16
2. y =
iroltonul sensvnd ne to esloqor
Chg abs nolonut sasni1od
of-ono oals alboionut eno-o-ano sel
lo agas=1o.nismods
o nismod1lo agns
Solve
ie borobo 10 sldaT gaiau A
of the funcon blau inaxodi qu
Snoibau gels 223 noibnol arit al noitalon sarsvni odi batinobom navi0 u algmaa
(s,0) (-a).(s).(0)-00
3. f(x) =
x-6
oloTorT noitorul s oels 2 noiislan ovni adi nolonut eno-o-ano B ail noiom sonie
(o,s).(a).(.).()}= (ai noilom sesvniedi
cono vlno beeU 916 20ulevbns x 9onia noitomt boole sag s all noitonu rowanA
nobonut se1svai odi bnd+(x)) alis olgmsx
Subtracty fro cach X
SUBJECT
ENRIQUE C. Nicol Jr. and MARIA ROSEMARIE PIALDA JA 3IRAMB2OA AIRAM GENERAL MATHEMATICS
AUTHOR
Page 17](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb56c18e0-0c27-4828-8f24-05bfca4b987a%2Fca063d7c-7d1b-4764-8de4-b3ef53a661d2%2F57yhl9p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solution:
Tete average cost of producing x: cars per week is: C'(x) = (15, 000 + 500x) / x
t we want for the average production cost per car to be P 1, 000, we set up the following equation:
Insshict
aib oels
1, 000 = [(15, 000 + 500x) / x]
1, 000x = 15, 000 + 500x
500x = 15, O00
x = 30
multiplying both side by x
combining like terms
warte Ino
odi montetovn simplifying
The factory must produce 30 cars per week.
Ilw sw
not rdoidw al ooltonul a ai VOTOKU
STUDENT PLAYSHOP: WRITTEN WORKSc binls
uteimedtoo
oboiAs a dependable Columbanite, solve the following rational function. Find the (a) domain and
range, (b) the zeros of the function, (c) location of the vertical asymptote and holes, and (d) the
horizontal asymptote or oblique asymptote. Show your complete and neat solution.
x2+6x+9
1. f(x) =
lo ainomalo bnoose bas teh
x²_ 4x-5
oTow
pe aicrou CU non dms bre
oele ei avods boniteb as mobom o to sasuni odd el MOO VV arfT
art lo nvai bns Ienisio adigonia notoru ount at svods olqmsxe svig odT noltonul
noionu s dtod bsouborq lanigho
one
Saro
to-one fun
have an ine
ut ot loups a moltonu munt sn as best ni al ( d belonab el il
Remem
x2-8x+16
x2-16
2. y =
iroltonul sensvnd ne to esloqor
Chg abs nolonut sasni1od
of-ono oals alboionut eno-o-ano sel
lo agas=1o.nismods
o nismod1lo agns
Solve
ie borobo 10 sldaT gaiau A
of the funcon blau inaxodi qu
Snoibau gels 223 noibnol arit al noitalon sarsvni odi batinobom navi0 u algmaa
(s,0) (-a).(s).(0)-00
3. f(x) =
x-6
oloTorT noitorul s oels 2 noiislan ovni adi nolonut eno-o-ano B ail noiom sonie
(o,s).(a).(.).()}= (ai noilom sesvniedi
cono vlno beeU 916 20ulevbns x 9onia noitomt boole sag s all noitonu rowanA
nobonut se1svai odi bnd+(x)) alis olgmsx
Subtracty fro cach X
SUBJECT
ENRIQUE C. Nicol Jr. and MARIA ROSEMARIE PIALDA JA 3IRAMB2OA AIRAM GENERAL MATHEMATICS
AUTHOR
Page 17
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