Cambridge International Mathematics

ANSWERS 713 ca translation of ¡¡ 3 0 ¢ da translation of ¡ 0 2 ¢ ea translation of ¡¡ 3 1 ¢ fa 90 oanticlockwise rotation about ...

714 ANSWERS EXERCISE 21A 1ax=§ 10 b x=§ 5 c x=§ 2 dx=§ 3 e no solution f x=0 gx=§ 3 h no solution i x=§ p 2 2ax=4or¡ 2 b x=0or¡ ...

ANSWERS 715 d e f EXERCISE 21E.2 1a b cd ef 2a b c d e f 3ay=(x¡1)^2 +3 vertex is at(1,3) by=(x¡2)^2 ¡ 1 vertex is at(2,¡1) cy=( ...

716 ANSWERS biy=¡ 5 x^2 is ‘thinner’ than y=x^2 iigraph opens downwards c i y=^13 x^2 is ‘wider’ than y=x^2 iigraph opens upward ...

ANSWERS 717 ci ii same shape di ii same shape EXERCISE 21F.1 1a 3 b 2 c ¡ 8 d 1 e 6 f 5 g 6 h 8 i ¡ 2 2a 3 and¡ 1 b 2 and 4 c ¡ ...

718 ANSWERS gx=¡ 6 h x=^252 i x= 150 2a(2,¡2) b (¡ 1 ,¡4) c (0,4) d(0,1) e (¡ 2 ,¡15) f (¡ 2 ,¡5) g(¡^32 ,¡^112 ) h (^52 ,¡^192 ...

ANSWERS 719 5a i iix=¡ 2 iii (¡ 2 ,0) bi iix=1 iii (1,¡1) ci iix=2 iii (2,0) di iix=¡ 1 iii (¡ 1 ,4) ei iix=1 iii (1,0) fi iix=0 ...

720 ANSWERS EXERCISE 21I 1ax¼¡ 3 : 414 or¡ 0 : 586 bx¼ 0 : 317 or¡ 6 : 317 c x¼ 2 : 766 or¡ 1 : 266 dx¼ 3 : 409 or¡ 1 : 076 ex¼ ...

ANSWERS 721 c 6a iopens upwards ii 12 iii 2 (touching) iv x=2 b 7a i¡ 10 ii 2 and 5 iii x=^72 iv (^72 ,^94 ) b 8ah=2 ba=¡^34 , k ...

722 ANSWERS eThere appears to be a weak, positive correlation between minutes spent preparingandtest score. This means that as t ...

ANSWERS 723 bx=13: 6 , y=14: 6 c/d On the graph. ei 21 km/h ii 31 km/h 3a bThere is a strong, positive correlation between spray ...

724 ANSWERS d e f EXERCISE 23A.2 1af(x)=2(x+ 1)(x¡2)(x¡3) bf(x)=¡2(x+ 3)(x+ 2)(2x+1) c f(x)=^14 (x+4)^2 (x¡3) 2af(x)=2x^3 ¡ 5 x^ ...

ANSWERS 725 bif¡^1 (x)=¡ 1 ¡^3 x ii cif¡^1 (x)=^2 x x¡ 1 ii dif¡^1 (x)= x+1 x¡ 1 =f(x) ii eif¡^1 (x)=^3 q x+1 x ii fif¡^1 (x)=^3 ...

726 ANSWERS b¼ 5 : 17 c¼(3: 72 ,¡124) d elocal maximum at¼(¡ 0 : 470 , 4 :44) local minimum at(¡ 1 ,4) f xy xy 030 : 6 ¡ 5 : 32 ...

ANSWERS 727 7 x f(x) g(x) h(x) ¡ 20 : 25 3 1 ¡ 1 : 50 : 354 1 : 25 1 : 25 ¡ 0 : 50 : 707 ¡ 0 : 75 undefined 01 ¡ 1 ¡ 1 0 : 51 : ...

728 ANSWERS 5a bx=¡ 4 ,x=1, y=0 c x-intercept is 3 y-intercept is^34 d minimum turning point at ¼(¡ 0 : 742 , 0 :659) maximum tu ...

ANSWERS 729 3 Paola is 25 km from his starting point at a bearing of 347 o. 4a 600 km/h due north b 400 km/h due north c 510 km/ ...

730 ANSWERS de 4a ¡ 9 ¡ 8 ¢ b ¡¡ 5 2 ¢ c μ ¡ (^223) 1 3 ¶ d μ ¡ (^212) 1 ¶ 5 jkaj= ̄ ̄k¡aa 1 2 ¢ ̄ ̄ = ̄ ̄kaka^1 2 ̄ ̄ = p k^2 a ...

ANSWERS 731 7a b p 29 units (¼ 5 : 4 units) c 158 o 8a i ¡ 1 ¡ 4 ¢ ii ¡¡ 3 ¡ 3 ¢ b ¡! AC= ¡ 5 ¡ 3 ¢ c p 34 units 9 k=¡ 10 10 a ¡ ...

732 ANSWERS 12 a Councillor Freq Rel Freq Mr Tony Trimboli 2167 0: 361 Mrs Andrea Sims 724 0 : 121 Mrs Sara Chong 2389 0: 398 Mr ...