Iceberg9
JF-Expert Member
- Nov 6, 2012
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That is what i meant hicho kialama ^ kina ifanya equestion kuonekana hivyo
Hapo ku sovle sasa ni mtereko kama kitonga introduce log
That is what i meant hicho kialama ^ kina ifanya equestion kuonekana hivyoKuna hii mathpapa, nayo imechemka si mchezo kabisa.View attachment 2803895
This is not the way mathatics problem get solved ,Jibu la hili swali ni HALIWEZEKANI, kwanini? Kwa sababu equation yoyote yenye equal sign ni lazima LHS iwe sawa na RHS kitu ambacho si kweli kwa hili swali, lipo kitrick unaanza kuwaza kuapply logarithmS rule lakini mwisho wa siku unajikuta unarudi ulipoanzia,
tuanze kwa kurahisisha equation
2^(8-x) = 8x .....by exponential rule
2^(8-x) = 2^8.2^(-x)
...and
8x = x.2^3
hapa tunapata
2^8.2^(-x) = x.2^3 ...devide by 2^3 both side then apply exponential rule
(since exponents have the same base (2) we substract the exponents)
2^(8-3).2^(-x) = x.2^(3-3) ..kinachobaki ni
2^5.2^(-x) = x ..from negative exponent rule 2^(-x) = 1/2^x
2^5/2^x = x ..multply by 2^x both side we get
2^5 =x.2^x
kutoka kwenye hii equation unaona tuna base zinazofana bothside ambayo ni mbili namba shufwa at the same time unatakiwa utafute namba ambayo ni x kama ukiizidisha hiyo namba x kwa 2 exponent (hiyo namba ambayo ni x) jibu liwe sawa na 2^5 kwakuwa tuna deal na exponent base ambayo ni mbili 2 basi hiyo namba ni lazima iwe 2 na baada ya kuitoa hiyo namba, exponent inatakiwa ibaki sawa na namba hiyo tuliyoitoa ili kuwa equal na RHS x.2^x.
Ila ukiangalia LHS tuna 2^5 the only possibility we have is
2^5 = 2.(2^4) but 2 not equal 4 as required to equate RHS which is x.2^x
2^5 = 2x2(2^3) but 2x2 = 4 not equal 3 as required to equate RHS which is x.2^x
2^5 = 2x2x2(2^2) not equal as required to equate RHS which is x.2^x
2^5 = 2x2x2x2(2^1) not equal as required to equate RHS which is x.2^x
so the equation logically is not valid
Kwa form four hapa ni kumuonea tu thamani ya x inaweza kupatikana labda kwa njia za approximation ambazo ni very complicated hata mtu wa PCM advance hatoboi hat kwa vyuo ikuu wasomi wetu wanakaa.
Nilisha maliza kusoma kotambo ,
Ukitoa hiyo ^ linakua swali tena ? Hahha hata form one ana solve likiwa hivyoThat is what i meant hicho kialama ^ kina ifanya equestion kuonekana hivyo
Hapo ku sovle sasa ni mtereko kama kitonga introduce log
BingwaSo mzee uki prove LHS inakua sawa na RHS
kimsingi siikatai njiabya graph ukiangalia vizuri ndio only way yenye matumaini ya kutokua na ded end ila bado jibu ulilotoa halipo sahihi
Sawa' najua kua kuna aproximation kwenye mathematics , nafahamu pia huo mkasa wa Apollo 11 , na movie ya story hiyo nime tazama pia inaitwa THE HIDDEN FIGURE ya 2014 , nafahamu yote hayo kaka ,Bingwa
Wale watabe kudizaini ma system ya ki utaalamu wa hali ya juu, huwa hawashuguliki na decimal points
Mfano
Wakati wanajaribu kutafuta ni jinsi gani rocket inaweza kuruka mpaka kufikia kutoka kwenye gravity ya dunia, alitokea huyu dada mmarekani mweusi, akayayavuruga mahesabu kwenye ubao na kuja na hesabu za makadirio yaliyofanikisha kuweza kurusha appolo 11 mpaka mwezini
Who Was Katherine Johnson? (Grades K-4) - NASA
Katherine Johnson loved math. Early in her career, she was called a “computer.” She helped NASA put an astronaut into orbit around Earth and on the moon.www.nasa.gov
View attachment 2804087
This can’t be true. You’ve assumed that 8x and 2^(8-x) are factors?To find an approximate solution to the equation 2^(8-x) = 8x graphically, you can plot the graphs of the two functions involved (y = 2^(8-x) and y = 8x) and find the point of intersection. The x-coordinate of the intersection point will be your solution.
- Start by graphing the function y = 2^(8-x):
Create a table of values for this function by choosing different values of x and calculating the corresponding values of y. For example:
- When x = 0, y = 2^8 = 256
- When x = 1, y = 2^7 = 128
- When x = 2, y = 2^6 = 64
- And so on...
- Plot these points on a graph. You can use a graphing calculator or software like Excel or Desmos to do this.
- Next, graph the function y = 8x:
This is a linear function with a slope of 8 and a y-intercept of 0. So you can simply draw a straight line with a slope of 8 on the same graph.- Find the point of intersection:
Locate the point where the two graphs intersect. This point represents the solution to the equation 2^(8-x) = 8x.- Read the x-coordinate of the intersection point:
The x-coordinate of the intersection point is your approximate solution to the equation.
We jamaa huoni kuwa zipo sawa hapoKwamba 26.35 = 26.24 ? Si ndio?
[emoji23][emoji23][emoji23]Kabisa mkuuUkitoa hiyo ^ linakua swali tena ? Hahha hata form one ana solve likiwa hivyo
Software gani hii mkuu
Hapo sijasolve nimesimplify ili kuonyesha logic kwanini hakuna uwiano katika equation.This is not the way mathatics problem get solved ,
Swali lina wezekana labda u admit kua umeshindw
Umetetea hoja yako vema , hongera , tusubiri wataalam , maana mpaka sasa bado hamn alie toa jibu sahihiHapo sijasolve nimesimplify ili kuonyesha logic kwanini hakuna uwiano katika equation.
Ni kweli linawezekana ila sio kwa level za form four hata six ambapo wewe umedai kwamba hili ni swali la form four hivyo kwa level hiyo jibu ni HAIWEZEKANI, hata ulipokuwa darasa la kwanza ukipewa swali 5 - 7=? jibu ni HAIWEZEKANI, ila ukifika la tatu ukafundishwa hasi na chanya ndo unapata jibu kuwa ni -2.
Kwa hilo swali sio level ya secondary kwa sababu hata mwenye degree ya mathematics anaweza akambwela kwa sababu Approximation Method zipo nyingi so kujua utumie ipi kwa swali hilo pia ni kipengele, labda Specialized Mathematicians ambao nao ukiwapa wawili kila mmoja atakuja na njia yake na majijibu lazima yatofautiane walau decimal place kwa sababu jibu lake ni makadirio/approximation.
Kikubwa swali hili katika marking uzito wa marks upo kwenye approaching more than exact answer kikubwa jibu liwe within the range na approach itumie correct method kati ya nyingi zilizopo
Hizi nadharia zimewahi kukusaidia kwenye maisha yako? Umewahi kukutana nazo kwenye shughuli za kila siku za maisha yako?Habari za wakati huu wana jamiiforum
Kuna ka swali hapa ka O level kana sumbua hivyo nataka kuwasirisha kwa watabe wa jamii forum ila niweze kupata solution yake
SWALI :
2^(8-x) = 8x
Yaani :
Two power eight minus X equals to eight x(eight times X )
Find the value of X.
Asante ,
nahitaji soulution , si jibu pekee !
Umekosea....Jibu ni 7 the rest nmemuuliza bard, je njia hapo kwa picha..View attachment 2803130View attachment 2803131
3.284379267
UnsolvableHabari za wakati huu wana jamiiforum
Kuna ka swali hapa ka O level kana sumbua hivyo nataka kuwasirisha kwa watabe wa jamii forum ila niweze kupata solution yake
SWALI :
2^(8-x) = 8x
Yaani :
Two power eight minus X equals to eight x(eight times X )
Find the value of X.
Asante ,
nahitaji soulution , si jibu pekee !
Hongera unajua.....mock form four nilipata F ya 5 bila shaka necta nlipata 3 shenzangu.Wenye D zetu hapa tunapita kwa kunyata
[emoji23][emoji23][emoji23]Hongera unajua.....mock form four nilipata F ya 5 bila shaka necta nlipata 3 shenzangu.
Mimi hizi equestion zime nisaidia na zina nisaidia mpaka sasa pia nina uhakika zitaendelea kunisaidia ndio maana hata baada ya kumaliza shule niliendelea kusolve ,Hizi nadharia zimewahi kukusaidia kwenye maisha yako? Umewahi kukutana nazo kwenye shughuli za kila siku za maisha yako?
Hata waliokimbia Kemia shuleni unawakuta kwenye viti virefu na meza za mashua wana dilute K-VANT na MO-Energy utadhani ni Mkemia wa serikali!!!
Ni Geometry ndiyo unakutana nazo kwenye maisha hata kabla hujaanza shule chekechea lakini utafanya Geometry kwa kutengeneza nyumba na gari za udongo, gari za mabua, miti, mbao na katani.
Hii uliyoileta hapa na zingine zinazofanana nayo ni matokeo ya Knowledge Based Curriculum KBC na siyo Competency Based Curriculum CBC ambayo dunia ndiyo sasa inaikimbilia kuiasili kama mtaala unaofaa kuendana na kasi na agenda ya sayari.
CBC walianza Malaysia Kenya wakawahi kuiasili na kuitekeleza na sisi Tz ndiyo tumeianza japo hatuna bajeti ya kutosha kuitekeleza 100% mfano siyo Walimu wote wamefunzwa CBC na pia vitabu vya kiada na ziada havijaandikwa vya kutosha na weledi bado una mashaka kwa maana kwamba vitabu vingi vina kasoro kwamba kumbe hata waandishi wa vitabu nao walipaswa kupewa mafunzo kabla ya kuandika.
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