1 2 X 1 4
1 . 1/2 x 2/2 2. 1/2 x 3/3 3. 1/2 x 4/4 4. 1/4 x 2/2 5. 1/4 x 3/3 6. 1/4 x 4/4
1. 1 . 1/2 x 2/2 2. 1/2 x 3/3 3. 1/2 x 4/4 4. 1/4 x 2/2 5. 1/4 x 3/3 6. 1/4 x 4/4
1. 2/4 = 1/2
2. 3/6 = 1/2
3. 4/8 = 1/2
4. 2/8 = 1/4
5. 3/12 = 1/4
6. 4/16 = 1/4
2. 1. 2/4 x 4/5 x 2/4 =2. 2/4 x 3/5 x 1/3 =3. 4/5 x 1/2 x 2/3 =4. 4/12 x 2/8 x 2/4 =5. 1/10 x 2/7 x 3/9 =6. 1 5/6 x 1 1/5 x 2 1/3 =7. 2 2/9 x 1 3/5 x 2 2/4 =8. 1 2/5 x 2 2/3 x 1 1/2 =9. 3 4/6 x 2 2/3 x 1 1/3 =10.3 5/7x 1 1/4 x 1 1/3 =
Jawab:
Semoga Membantu. Terima kasih
3. 2/5 x 1 1/3:1/4 x 2 1/2:2/7 x 1 2/2:2/5 x 3 2/3:1/10 x 2 1/2:4 1/2 x 2 1/3:2 1/5 x 2 1/4:5 1/3 x 1 4/2:1 2/5 x 1 2/4:2 1/15 x 1 2/2:tolongg! pakai cara ya!
[tex]1.) \frac{2}{5} \times 1 \frac{1}{3} = \frac{2}{5} \times \frac{4}{3} = \frac{8}{15} [/tex]
[tex]2.) \frac{1}{10} \times 2 \frac{1}{2} = \frac{1}{10} \times \frac{5}{2} = \frac{5}{20} = \frac{1}{4} [/tex]
[tex]3.) \frac{2}{7} \times 1 \frac{2}{2} = \frac{2}{7} \times \frac{4}{2} = \frac{8}{14} = \frac{4}{7} [/tex]
4. 3/4 x 1 1/2 : 1/43/4 x 1 1/2 : 1/4
[tex] \frac{3}{4} \times 1 \frac{1}{2} \div \frac{1}{4} [/tex]
[tex] \frac{3}{4} \times \frac{3}{2} \div \frac{1}{4} [/tex]
[tex] \frac{3}{4} \times \frac{3}{2} \times 4[/tex]
[tex] \frac{9}{2} [/tex]
[tex] = 4 \frac{1}{2} [/tex]
semoga membantu
5. Tentukanlah nilai x 1. X+2/3 = 5 - X/2 2. X-2/7 - 3+5X/2 = 2X-1/4 3. 2/X+1 - 1/X = 4/X 4. 2(3X-6)/(x-1)(x+1) + 1/x+1 = 4/x-1 Pakai cara yaa...
Penjelasan dengan langkah-langkah:
1. x+2/3 = 5 - x/2
x(3)+2/3(2)=5(2)-x
3x(3)+4=10(3)-x(3)
9x+4=30-3x
9x-3x=30-4
6x=26
x=26/6
x= 4 2/6
x = 4 1/3
nomor 2,3, dan 4 caranya sama semua.... maaf kalau salah
6. nilai x dari 1/4 (x-2) = 1/2 (x-1) + 1/4 (x-1) adalah...a.1b.-1c.1/2d.-1/2
1/4 (x - 2) = 1/2 (x - 1) + 1/4 (x - 1) semua dilakalikan 4
x - 2 = 2(x - 1) + (x - 1)
x - 2 = 2x - 2 + x - 1
x - 2 = 3x - 3
3x - x = - 2 + 3
2x = 1
x = 1/2
c. 1/2
7. Bentuk sederhana dari {x^4-1/(x^4+2x^2+1)} {x^4-x^2-2/x^4-4} {x^4+3x^2+2/x^4-1}
Bentuk sederhana
dilampiran = 1
8. Hitunglah hasil perkalian pecahan berikut1 1/2 x 1/7 = ....1 1/4 x 2/3=....1 2/4 x 2/8=....2 1/3 x 3/4=......3 1/4 x 7/8=......1 1/4 x 1 1/2 =......2 1/3 x 2 1/7 =..... 2 1/5 x 2 2/6=.......tolong besok mau di kumpul
Jawaban:
itu jawaban nya kalo kurang paham bisa tanya
9. Diketahui x=81 nilai dari x^1/2 + x^-1/4 / x^1/4 + x^-1/2
x=81
81^1/2 + 81^-1/4 / 81^1/4 + 81^-1/2
= 81^1/2 + 81^1/2 / 81^1/4 + 81^1/4
= (3^4)^1/2 + (3^4)^1/2 / (3^4)^1/4 + (3^4)^1/4
= 3^2 + 3^2 / 3 + 3
= 9 + 9 / 6
= 18 / 6
= 6/2
Keterangan :
jika pangkatnya negatif, dirubah ke positif terlebih dahulu. contoh : pembilangnya x^-1/4, penyebutnya x^-1/2. Maka, setelah dijadikan pangkat positif, pembilangnya X^1/2 , dan penyebutnya x^1/4
10. 1. Limit 2x²-4/X³-2 X->2 2. Limit 1-x²/x-1 X->1 3. Limit 4-x/2-√x X -> 4
Jawab:
Limit mendekati a bentuk 0/0
Penjelasan dengan langkah-langkah:
1. lim ( x-> 2 ) (2x² - 4) / (x³ - 2)
sub x = 2 , limit = (2.2² - 4 ) / (2³- 2)
limit = (8-4) /(8-2) = 4/6 = 2/3
2. limit (x -> 1) (1 - x²)/( x - 1)
= limit (x -> 1 { (1 - x)(x + 1)} / - (1 - x)
= limit (x-> 1) (x + 1) / ( -1)
x = 1 --> (1 + 1 ) / (- 1) = 2/ -1 = - 2
3. limit (x -> 4 ) (4 - x) / (2 - √x)
=limit (x -> 4) (2 - √x)(2 + √x) / (2 - √x)
= limit (x -> 4 ) (2 + √x)
sub x = 4 maka limit = (2 + √4) = 2 + 2 = 4
11. Lim 2^(x+1) - 3^(x-2) + 4^(x-1)X->∞ per 2^(x-1) + 3^(x+1) + 4^(x-1)
lim (x-> ~) { 2ˣ⁺¹ - 3ˣ⁻² + 4ˣ⁻¹} / {2ˣ⁻¹ + 3ˣ⁺¹ + 4ˣ⁻¹)
= limit (4)ˣ⁻¹/ (4)ˣ⁻¹
= 1
12. 1. limit x ⇒ 2x - 5 √x-1 - 2 2. limit x ⇒ 42-√x x - 4 3. limit x ⇒ 1√x - 1 √x + 1
[tex]\displaystyle \lim_{x\to2}\frac{x-5}{\sqrt{x-1}-2}\\\\\frac{2-5}{\sqrt{2-1}-2}\\\frac{-3}{\sqrt{1}-2}\\\frac{-3}{1-2}\\\frac{-3}{-1}\\\boxed{\boxed{3}}[/tex]
[tex]\displaystyle \lim_{x\to4}\frac{2-\sqrt{x}}{x-4}\\\lim_{x\to4}\frac{2-\sqrt{x}}{x-4}\times\frac{2+\sqrt{x}}{2+\sqrt{x}}\\\lim_{x\to4}\frac{2^2-(\sqrt{x})^2}{(x-4)(2+\sqrt{x})}\\\lim_{x\to4}\frac{4-x}{(x-4)(2+\sqrt{x})}\\\lim_{x\to4}\frac{-1}{2+\sqrt{x}}\\\\\frac{-1}{2+\sqrt{4}}\\\frac{-1}{2+2}\\\boxed{\boxed{-\frac{1}{4}}}[/tex]
[tex]\displaystyle \lim_{x\to1}\frac{\sqrt{x-1}}{\sqrt{x+1}}\\\\\frac{\sqrt{1-1}}{\sqrt{1+1}}\\\frac{\sqrt{0}}{\sqrt{2}}\\\boxed{\boxed{0}}[/tex]
[tex]\displaystyle \text{Untuk soal limit, masukkan terlebih dahulu, apabila hasilnya bukan }\frac00;\\\frac{\infty}{\infty};\text{dll.}\text{ Maka itu hasilnya. Tetapi apabila hasilnya seperti yang}\\\text{disebutkan tadi, baru fungsinya dirubah dengan diturunkan,}\\\text{rasionalkan, dll.}[/tex]
13. 4. (x - 2 = 1 X-2 =1 x = 1+2. X-2=-1 x= -1+2 x = ..... x = ....
Jawaban:
(x-2=1
X-2=1
x=1+2
X-2=-1
X=-1+2
x=1
Jadi jawabannya adalah 1
semoga membantu
14. 1. (2 x - 6) - (x + 2) > 12. 4 x - 3 < 13. 4 + ( -2 x ) > 24. 2 x - 1 < x +4
Jawab:
1. (2 x - 6) - (x + 2)>1 = x - 8 > 1
2. 4 x - 3 < 1 = x < 1
3. 4 + ( -2 x ) > 2 = x < 1
4. 2 x - 1 < x +4 = x < 5
15. 1. 1/6 × ( X/2 + 3/4 ) = X/2 + 1/3 = .... 2. 2/3 × ( X/8 - 3/4 ) = X/2 - 1/2 =... 3. X - 2 /2 + X - 4/3 = 1/6 =... 4. X + 1/3 - X -4 = 5/12X =...... 5.1/2 × ( X - 1 ) - 1/3 × ( X + 3 ) = 1/6 =... 6. 1/3 × ( X - 2 ) - 1/4 × ( X - 5 ) = X/6 =.... 7. X + 2/3 - 3X -1 = X/9 =..... 8. X + 3/4 - 2X - 5/5 = 7/10 =..... 9.1/4 × ( X - 3 ) + 1/6 × ( 2X - 3 ) = 4 =.... 10. 1/2 ( X + 1/3 ) + 1/4 × ( 2/3X - 1/6 )= X =.... ( tOlong dijawab sekarang karena besok mau dkumpul )
1. 1/6 × ( X/2 + 3/4 ) = X/2 + 1/3 =
=1/6 x (x/2-x/2)+3/4-1/3
=2+9-4/12
=7/12
2. 2/3 × ( X/8 - 3/4 ) = X/2 - 1/2 =
=2/3 x (x/8-x/2)-3/4+1/2
=8-9-6/12
=-7/12
3. X - 2 /2 + X - 4/3 = 1/6
=x+x-2/2-4/3-1/6
=2x-6-8-1/6
=2x-15/6
4. X + 1/3 - X -4 = 5/12X
=x-x4-12/12-5/12x
=-8/12-5/12x
5. 1/2 × ( X - 1 ) - 1/3 × ( X + 3 ) = 1/6
=3-2-1/6 (X+X-1+3)
=2X+2
6. 1/3 × ( X - 2 ) - 1/4 × ( X - 5 ) = X/66.
=4-3/12(2X-7)-X/66
=1/12 (2X-7) - X/66
7. X + 2/3 - 3X -1 = X/9
=X-3X-1+2/3-X/9
=-2X-1+2/3-X/9
8. X + 3/4 - 2X - 5/5 = 7/10
=X-2X+15-20-14/20
=-X19/20
9. 1/4 × ( X - 3 ) + 1/6 × ( 2X - 3 ) = 4
=3+2/12(X+2X-3-3)-4
=5/12(3X-6)-4
=5/12(3X-10)
10.1/2 ( X + 1/3 ) + 1/4 × ( 2/3X - 1/6 )= X
=2+1/4(X-X+2/3X+1/3-1/6)
=3/4(2/3X+1/6)
maaf kalau salah
16. 1/2√2 x ³√4 x 4√1/8 x 6√1/2 =
semoga jawabannya bermanfaat
17. Mohon bantuannya x^6 - 1 / x^2 - 1 sama dengan...a. x^4-1b. (x^2+x+1)(x^2-x+1)c. (x^2+x+1)(x^2-x-1)d. (x^2+x-1)(x^2-x+1)e. x^4+x^2+1
Jawaban:
e. x^4+x^2+1
Penjelasan dengan langkah-langkah:
semoga benar
18. ((1/2 x - 4) x (1/2 x - 4) =
Jawab:
(( ½ x - 4 ) x ( ½ x - 4 )
( -2 × -2 ) = 4
Semoga bisa membantu
Jawaban:
(1/2×-4) ×(1/2×-4) =4
Penjelasan dengan langkah-langkah:
MAAF KALO SALAHSEMOGA MEMBANTU
19. 1. 1 1/2 x 4 =...2. 2 x 5 1/3 =...3. 1 1/2 x 2 1/3 =...4. 2 3/4 x 1 1/2 =5. 5 1/2 x 2 2/5 =...
Jawaban:
1. 4 1/2
2. 10 1/3
3 dan lainnya lanjut orng lain ya
20. 2 2/5 x 3 1/4 = 3 1/2 x 2 1/2 1 2/4 x 2 1/4
Jawab:
6
8¾
1⅞
Penjelasan dengan langkah-langkah:
2⅖ × 2½ = 12/5 × 5/2 = 60/10 = 6
3½ × 2½ = 7/2 × 5/2 = 35/4 = 8¾
1 2/4 × 2¼ = 6/4 × 5/4 = 30/16 = 1 14/16 = 1⅞
Maaf kalo salah
Semoga bermanfaat
Thanks
1.22/5.31/4
= 12/5 . 13/4 = 156/20 = 7 16/20 = 7 4/5
2.31/2.21/2
= 7/2 . 5/2 = 35/4 = 8 3/4
3.12/4.31/4
= 6/4 . 13/4 = 78/16 = 4 14/16 = 4 7/8
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