I     b o b g a     d o i r     m a sh q l a r

 

Algebraik ifodaning son qiymatini hisoblang (6975):

 

69.      1) a+bc, bunda a=–1, b=3, c=0;

2) a–bc, bunda a=2, b=–1, c=–3;

3) (a+b)c, bunda a=1, b=–3, c=2;

4) (a–b)c, bunda a=3, b=1,2,  c=5.

5) (a–b)+(c–d), bunda a=4, b=2, c=3, d=–1;

6) (a–b)–(c–d), bunda a=0, b=–4, c=–2, d=3;

7) a (b–c), bunda a=0,5, b=, c=–1,2;

8) a (b–c)–d, bunda a=5,2, b=1,3, c=2,8, d=2,8;

  

70.      1) 5(x–y)2;                   2) 3(x+y)2;            3) (5x–y)2;            4) (3x+y)2.         bunda x=2,5,  y=4,5.

 

71.      1) 2((a–b)2+1);           2) 4(3–(a–b)2);              3) ((a–b)a–8):2;             4) (5a–(a+b)):3,                  bunda a=5, b=–1.

 

72.      1) 3(a+b)–2ab;           2) 3a+b–2ab;                3) 3(a–b)+2ab;              4) 3ab+2ab,                     bunda a=1,2, b=1,8.

 

73.      1) , bunda b=–2, c=–1/3;

2) –0,75a2+, bunda a=–2, b=3;

3) (a2–26)2, bunda a=–5;   4) (a3+26)3, bunda a=–3.

 

74.      Ifodalarning geometrik ma’nosini oching.

1) a · b, bunda a va b to‘g‘ri to‘rtburchakning tomonlari;

2) a2, bunda a kvadratning tomoni uzunligi;

3) 2 (a+b), bunda a va b to‘g‘ri to‘rtburchakning tomonlari uzunligi;

4) 4a, bunda a kvadratning tomoni.

 

75.      1) a2 – 4x2, bunda akatta kvadratning tomoni, xhar bir kichik kvadratchaning tomoni uzunligi (3-a rasm);

2) (a · b) / (ax + ay) bunda a va b katta to‘g‘ri to‘rtburchakning, x va y esa kichik to‘g‘ri to‘rtburchaklarning tomonlari (3-b rasm).

 3-rasm.

 

76.      Bir gektar ko‘kalamzor bir yil davomida havoni 70 t changdan tozalashga qodir. 10 ga; 100 ga; m gektar ko‘kalamzor bir yilda havoni necha tonna changdan tozalaydi? Umumiy maydoni 16000 ga bo‘lgan ko‘kalamzor havoni necha tonna changdan tozalaydi?

 

77.      Avtomobilning harakat tezligi ikki marta ortishi bilan uning tormozlanish yo‘lining to‘rt marta ortishi ma’lum. Harakat tezligi 30 km/soat bo‘lganda, tormozlanish yo‘lining uzunligi jadvalda berilgan. Tezlik 60 km/soat bo‘lganda, tormozlanish yo‘lining uzunligi qancha bo‘ladi (5-rasm)?:

Yengil mashina uchun

 

Yuk mashinasi uchun

v (km/soat)

t (m)

v (km/soat)

t (m)

30

7,2

30

9,5

 

78.      (Abu Rayhon Beruniy masalasi). Agar 10 dirham pul ikki oyda 5 dirham foyda keltirgan bo‘lsa, 8 dirham puldan uch oyda qancha foyda olish mumkin?