NÅGRA KOMMENTARARER TILL LÖSNINGARNA
NÅGRA KOMMENTARARER TILL LÖSNINGARNA NÅGRA KOMMENTARARER TILL LÖSNINGARNA
2427a 20 − 15 20 + ( −15) 10 ⋅ 10 = 10 = 20−15 5 10 = 10 2427d −3 10 = 10 − 7 10 = 10 = 10 2428a −− =−− = −−− 3 ( 7) −+ 3 7 4 3 ( 2) ( 8) 8 2428d − 1 = ( −10) 1 = = 1 −10 ( 1) 1 10 2429c 1 −1 −1 ⎛2⎞ 1 (0,4) = 1 ⎜ ⎟ = = = 1 ⎝5⎠ ⎛2⎞ 2 ⎜ ⎟ ⎝5⎠ 5 1 5 5 ⋅ = = 52 1 2 2 2430a 9= 3⋅ 3= 3 2 2431a −3 2 −1 4 ⋅4 ⋅ 4 = −+− 3 2 1 −2 4 = 4 2432a 3 (0,1) = 0,001 0.1^ 3 LÖSNINGAR DEL B 2427b 10 10 10 = 10 20 20 −− ( 15) = 10 = −15 20+ 15 35 2427e 13 14 1 13 14 10⋅10 ⋅10 10 ⋅10 ⋅10 = 34 −734−7 10 ⋅10 10 ⋅10 11314 + + 28 10 10 = = 10 = 10 34 +− ( 7) 27 10 10 2428b 28−27 1 1 1 1 ( −2) −8 8 −3 −( − 2) =− =− = 3 2429a 1 −1 −1 ⎛4⎞ 4 1 4 1 3 3 ⎜ ⎟ = = = ⋅ = −1 ⎝3⎠ 3 1 4 1 4 1 3 2429d 1 −2 −2 ⎛4⎞ 1 (0,8) = 1 ⎜ ⎟ = = = 2 2 ⎝5⎠ ⎛4⎞ 4 ⎜ ⎟ 2 ⎝5⎠ 5 1 25 25 ⋅ = = 25 16 1 16 16 2430b 1 1 1 = = = 3 3 27 3⋅3⋅3 3 2431b 6 6 6 = 6 −8 −−− 8 ( 14) = 6 = −14 −+ 814 6 2432b − 3 (0,2) = 125 0.2 ^ -3 −3 2427c (10 ) = 10 = 10 −1 −2 ( −1)( ⋅ −2) 2 2427 f 0 −8 16 10 ⋅10⋅10 ⋅ 10 = 10 = 10 = 10 0++− 1 ( 8) + 16 0+−+ 1 8 16 9 2428c 2430c 813 ⋅ = 33333 ⋅ ⋅ ⋅ ⋅ 4 −6 −2 = 3 ⋅ 3 = 3 −6 −6 2431c −2 5 3 3 ⋅3 3 = = 3 −3 −3 3 3 2432c − 2 (0,5) = 4 0.5 ^ -2 10 ( 1) 1 − − =− 37 2429b 1 −2 −2 ⎛2⎞ 2 2 2 1 9 9 ⎜ ⎟ = = = ⋅ = −2 ⎝3⎠ 3 1 4 1 4 2 3 6 2430d 27 333 ⋅ ⋅ 3 = = 3 3 3 3 −− ( 4) 7 = 3 = 3 −4 −4 −4 2431d 0 10 10 5 ⋅5 5 = = 5 −2 −2 5 5 2432d − 3 (0,4) = 15,625 0.4 ^ -3 3 12
2433a 1 1 0,01 = = = 100 10⋅10 1 −2 = 10 2 10 2434a 3 −1 1 1 2 − 2 = 8− = 7 2 2 2435a 5 52 ⋅ + 3 1 5⋅ + 1 2 2 5 + 1 4 1 2 4 −2 n a + b −2 0 2436a −4 15 5x ⋅ 2x = 52 10x −4 15 ⋅ ⋅x ⋅ x = 11 2437a 4 −3 1 a ⋅ a = a = 4 a= x LÖSNINGAR DEL B 2433b 1 1 0,008 = = = 125 5⋅ 5⋅ 5 1 −3 = 5 3 5 2434b − = 1 − = 2 −2 3 3 9 2 3 1 8 9− = 8 9 9 2435b 5 + −2 a n b −2 −1 ⎛1⎞ ⎛5⎞ 5⋅ ⎜ ⎟ + ⎜ ⎟ ⎝2⎠ ⎝4⎠ 1 1 5⋅ 1 + 1 ⎛1⎞ ⎛5⎞ ⎜ ⎟ ⎜ ⎟ ⎝2⎠ ⎝4⎠ 4 4 5⋅ + 1 5 4 20 5 2436b 2 1 −8 16y 16 −8 −( −3) = y = −3 4y4 4y = 4y ( ) −+ 8 3 −5 2437b a a x = x 4 7 = a = − 3 4 7 28 2433c 1 1 1 = = = 7 2 49 7⋅ 7 7 −2 2434c 0 −1 1 5 6 + 6 = 1+ = 1 6 6 2436c t = = 3t3 4+ 6 10 4t = 4t 4 12 12 4 −− ( 6) t −6 2437c ( ) 3 5 35 ⋅ a = a = ( ) 15 4 15 60 a = x = x 38 2433d 1 1 1 = = = 5 3 125555 ⋅ ⋅ 5 2434d −2 −3 1 1 3 + 2 = + = 2 3 3 2 1 1 17 + = 9 8 72 2436d x −6x−6 −5 −3x 5 18 18 5−10 = x = 10 2437d 2 −2 6 ( a ⋅ x ) = 2 −2 ( a ) ( x ) ( ) 6 6 ⋅ = 12 −12 a ⋅ x = 4 12 −12 x ⋅ x = x ⋅ x = x 48 −12 36 −3
- Page 1 and 2: NÅGRA KOMMENTARARER TILL LÖSNINGA
- Page 3 and 4: 1109a x tan 41 = 67 ( mult 67) 67
- Page 5 and 6: 1129c cos64 x = 97 ( mult 97) 97
- Page 7 and 8: 1146a Sätt sidan AB till x cm x c
- Page 9 and 10: 1149b 1150 1202 tan35 h = 43 ( mul
- Page 11 and 12: 1209a Antag att byggnadens höjd ä
- Page 13 and 14: LÖSNINGAR DEL B 1215 Antag att den
- Page 15 and 16: 1221 1222a 16 cosv = 21 −1 ⎛16
- Page 17 and 18: 1227 1228 Beräkna tringelns sidor
- Page 19 and 20: 1233 Antag att bisektrisen CD är x
- Page 21 and 22: 2102a 13 + −8 13 − 8 5 ( ) 2103
- Page 23 and 24: 2125a 3 310 ⋅ 30 = = 4 410 ⋅ 40
- Page 25 and 26: 2131a 2 ⎛ 1⎞ ⎛ 5 ⎛ 3 ⎞⎞
- Page 27 and 28: 2144b 3 3 4/2 − (4/2) 3 3 4/2−2
- Page 29 and 30: 2154a 3969 / -49 −81 ( ) 2155a 63
- Page 31 and 32: 2219a ( ) 2 3 10 49 + 4⋅ 125 −5
- Page 33 and 34: 2234a 1,890 2234b 0,845 LÖSNINGAR
- Page 35 and 36: 2349 Antag att grillen kostade A kr
- Page 37: 2415a x 2 = 2⋅2 x 2 = 2 ⋅2 x 2
- Page 41 and 42: 2447a-b Antag att sidan är x m x
- Page 43 and 44: 2556a s = v⋅t (2547) meter 11 s
- Page 45 and 46: 2611a 2 x + + 4 y 2 3+ + 4 −2 3
- Page 47 and 48: 2640a A= 3b 3b= A 3b A = 3 3 A b =
- Page 49 and 50: 2671a 9 −( x − 3) = 20 9 −( x
- Page 51 and 52: 2705c 2r⋅ 4r = 8r 2 hela 2 ⋅
- Page 53 and 54: 2725a Antag att vattnet står x m h
- Page 55 and 56: 2748a 2400 12 pris per bok ⋅ 20 =
- Page 57 and 58: LÖSNINGAR DEL B 3129a Enligt randv
- Page 59 and 60: 3320d Likf ger 10 − x 9 = ( kors
- Page 61 and 62: LÖSNINGAR DEL B 3338 Antag att den
- Page 63 and 64: 3355 Antag att hypotenusan i stora
- Page 65 and 66: 4229a 2 ab( a −b) −a( ab −b)
- Page 67 and 68: 4239d 3 −( − 5m+ 8) = 36 −(1
- Page 69 and 70: 4245a A1+ A2 2 2 (2x + 20 x) + (2x
- Page 71 and 72: 4302a ( x+ 3)( x−3) 2 2 x − 3 2
- Page 73 and 74: 2 LÖSNINGAR DEL B 4308c 2 2 ( x+ 4
- Page 75 and 76: 4329a Pytagoras sats ger ( x+ 18) =
- Page 77 and 78: LÖSNINGAR DEL B 4334 Antag att dom
- Page 79 and 80: 4410a 2 x − 3x+ 2= 0 3 x = ∓ 2
- Page 81 and 82: 4415 x x− = x+ + x(2x−1) − (
- Page 83 and 84: 4608 Antagande se figur 4609a 25 =
- Page 85 and 86: 4613 LÖSNINGAR DEL B a) Antag att
- Page 87 and 88: 4631a 4631b Antagande se figur LÖS
2433a<br />
1 1<br />
0,01 = = =<br />
100 10⋅10 1 −2<br />
= 10 2<br />
10<br />
2434a<br />
3 −1<br />
1 1<br />
2 − 2 = 8− = 7<br />
2 2<br />
2435a<br />
5<br />
52 ⋅ + 3<br />
1<br />
5⋅ + 1 2<br />
2<br />
5<br />
+ 1<br />
4<br />
1<br />
2<br />
4<br />
−2<br />
n<br />
a + b<br />
−2<br />
0<br />
2436a<br />
−4<br />
15<br />
5x ⋅ 2x<br />
=<br />
52<br />
10x<br />
−4<br />
15<br />
⋅ ⋅x ⋅ x =<br />
11<br />
2437a<br />
4 −3<br />
1<br />
a ⋅ a = a =<br />
4<br />
a= x<br />
LÖSNINGAR DEL B<br />
2433b<br />
1 1<br />
0,008 = = =<br />
125 5⋅ 5⋅ 5<br />
1 −3<br />
= 5 3<br />
5<br />
2434b<br />
− =<br />
1<br />
− =<br />
2 −2<br />
3 3 9 2<br />
3<br />
1 8<br />
9− = 8<br />
9 9<br />
2435b<br />
5 +<br />
−2<br />
a<br />
n<br />
b<br />
−2 −1<br />
⎛1⎞ ⎛5⎞ 5⋅<br />
⎜ ⎟ + ⎜ ⎟<br />
⎝2⎠ ⎝4⎠ 1 1<br />
5⋅<br />
1 + 1<br />
⎛1⎞ ⎛5⎞ ⎜ ⎟ ⎜ ⎟<br />
⎝2⎠ ⎝4⎠ 4 4<br />
5⋅ +<br />
1 5<br />
4<br />
20 5<br />
2436b<br />
2 1<br />
−8<br />
16y 16 −8 −( −3)<br />
= y =<br />
−3<br />
4y4 4y = 4y<br />
( )<br />
−+ 8 3 −5<br />
2437b<br />
a<br />
a<br />
x = x<br />
4<br />
7<br />
= a =<br />
− 3<br />
4<br />
7<br />
28<br />
2433c<br />
1 1 1<br />
= = = 7 2<br />
49 7⋅ 7 7<br />
−2<br />
2434c<br />
0 −1<br />
1 5<br />
6 + 6 = 1+ = 1<br />
6 6<br />
2436c<br />
t<br />
= =<br />
3t3 4+ 6 10<br />
4t = 4t<br />
4<br />
12 12 4 −− ( 6)<br />
t<br />
−6<br />
2437c<br />
( )<br />
3<br />
5<br />
35 ⋅<br />
a = a =<br />
( )<br />
15 4<br />
15<br />
60<br />
a = x = x<br />
38<br />
2433d<br />
1 1 1<br />
= = = 5 3<br />
125555 ⋅ ⋅ 5<br />
2434d<br />
−2 −3<br />
1 1<br />
3 + 2 = + =<br />
2 3<br />
3 2<br />
1 1 17<br />
+ =<br />
9 8 72<br />
2436d<br />
x<br />
−6x−6 −5<br />
−3x<br />
5<br />
18 18 5−10 = x =<br />
10<br />
2437d<br />
2 −2<br />
6<br />
( a ⋅ x ) =<br />
2 −2<br />
( a ) ( x )<br />
( )<br />
6 6<br />
⋅ =<br />
12 −12<br />
a ⋅ x =<br />
4<br />
12<br />
−12<br />
x ⋅ x =<br />
x ⋅ x =<br />
x<br />
48 −12<br />
36<br />
−3
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