Matematika abituriyent testi №2

Tengsizliklar sistemasini yeching. 

5x+12y–7=0 va 5x+12y–17=0 to’g’ri chiziqlar orasidgi masofani toping.

Hadlari musbat sonlardan iborat geometrik progressiyaning 12- va 7-hadlari yig’indisi shu progressiyaning 10- va 5-hadlari yig’indisidan 9 marta katta bo’lsa, bu progressiyaning maxraji nechaga teng?

[1; 11111] kesmada 3 ga bo’lganda 1 qoldiq, 4 ga bo’lganda 1, 8 ga bo’lganda 1 qoldiq qoladigan nechta natural son bor?

2/3 qismining 3/8 qismi 4,(36) ga teng bo’lgan sonni toping.

Amallarni bajaring.

Proporsiyani yeching (x ni toping).

ni hisoblang.

  hisoblang.

Amallarni bajaring. (–120):((–8)·(–3)+12:(–3))–(–48):(–16)

Ifodani soddalashtiring.

Hisoblang:

Hisoblang. 

Ifodani soddalashtiring. 

y= –2x+3 funksiyaning grafigi qaysi choraklardan o’tadi?

tengsizliklar sistemasini yeching.

a=2·6+4·9+6·12+…+80·123 b=7·16+14·24+21·32+…+280·328 bo’lsa, a/b ni hisoblang.

Kvadrat tenglamani yeching. x²+x–6=0.

proporsiyaning noma’lum hadini toping.

Parallelogramning yuzi 120sm², balandliklari 8 va 12 sm ga teng bo’lsa, uning perimetrini toping.

Ifodani soddalashtiring.

bo’lsa, m ning olishi mumkin bo’lgan butun sonlar nechta?

Soddalashtiring. 

Tengsizlikni qanoatlantiradigan x ning natural qiymatlari yig’indisini toping.

Tengsizliklar sistemasini yeching.  

ni hisoblang.

Hisoblang 

Hisoblang.

ni hisoblang.

bo‘lsa, x· y ni toping.