1. 3x-2=19 2. 1/3x+7=2x-9 3. 6(3x-2)+2x=3(6x-4)
1. 1. 3x-2=19 2. 1/3x+7=2x-9 3. 6(3x-2)+2x=3(6x-4)
1. 3x-2=19
3x=19+2
3x=21
x=21/3
x=7
2. 1/3x+7=2x-9
1/3x-2x=-9-7
1/3x-6/3x=-16
-5/3x=-16
x=-16:-5/3
x=16:5/3
x=16×3/5
x=48/5
3. 6(3x-2)+2x=3(6x-4)
18x-12+2x=18x-12
18x+2x-18x=-12+12
2x=0
x=0/2
x=0
2. 1. -2(x+3)2. 4(2-6x)3. 3(x²+2x+1)4. 5(2-3x-2x²)5. 7(1+2x)+9(-2x-1)6. 6(2+3x)+2(2x²-4x+6)
1.-2x-6
2.8-24x
3. 3x^2 + 6x + 3
4. 10-15x-10x^2
5.7+14x+-18x-9= -2- 4x
6.12 + 18x + 4x^2-8x+12 = 24+10x + 4x^21) -2x-6.
2) 8-24x = -24x+8.
3) 3x^2+6x+3.
4) 10-15x-10x^2 = -10x^2-15x+10.
5) 7+14x-18x-9 = -4x-2.
6)12+18x+4x^2-8x+12 = 4x^2+10x+24.
3. [3X-5]=2 [2X+9]+3X=4 [1-2X]=5 [2X+1]=X-2 [6-4X]=2X-3
Materi : Persamaan Mutlak
4. ∫(2x - 3)(x + 6) dx =..... A. 2x^3 + 9x^2 - 18x + c B. 2x^3 + 9/2 x^2 - 18x + c C. 2/3x^3 + 9/2x^3 - 18x + c D. 2/3x^3 + 9x^2 - 18 x + c E. - 2/3x^3 - 9x^2 + 18x + c
∫(2x - 3)(x + 6) = ∫2x² + 9x - 18
= ∫2/3x²⁺¹ + 9/2x¹⁺¹ - 18/1x⁰⁺¹
= 2/3x³ + 9/2x² - 18x + c (C)
Semoga membantu....∫ (2x - 3)(x + 6) dx = ∫ 2x² + 12x - 3x -18 dx
= ∫ 2x² + 9x - 18 dx
= ∫ 2x² dx + ∫ 9x dx - ∫ 18 dx
= [tex] \frac{2}{3} x^{3} + \frac{9}{2} x^{2} - 18x + C [/tex]
5. 1. x pangkat 2 - 5x - 6 / x + 1 2. 3x pangkat 2 - 27 / x pangkat 2 + 2x - 3 3. 2x pangkat 2 + 3x - 9 / x pangkat 2 + 2x -3
1. x - 6
2. 3 (x - 3) per (x - 1)
3. (2x - 3) per (x - 1)
6. -2x(6-(-3))=3x(-7-2)=-4x(-8-(-1))=5x(9-(-2))=(-2x6)-(-2x-3)=(3x(-7))-(3x2)=(5x9)-(5x(-2))=
1.) -2 x 9 = - 18
2.) 3 x (-9) = - 27
3.) -4 x (-7) = 28
4.) 5 x 11 = 55
5.) -12 - (6) = - 18
6.) -21 - 6 = - 27
7.) 45 - (-10) = 551. ( -2 )×(6-(-3)= -18.
2. 3×( - 7 - 2 )= -27.
3. -4×( -8 -(- 1)= 28.
4. 5×( 9-(- 2)= 55.
5. (3×(-7)-(3×2)= -27.
6. (5×9) - (5×(-2)= 55.
7. 1.-2x(-3)=2.-1x(-2)=3.-3x(-2)=4.-1x(-3)=5.-2x(-1)=6.-2x(-2)=7.-3x(-1)=8.-3x(-3)=9.-1x(-1)=mohon di bantu
Penjelasan dengan langkah-langkah:
1. -2 x (-3) = 6
2. -1 x (-2) = 2
3. -3 x (-2) = 6
4. -1 x (-3) = 3
5. -2 x (-1) = 2
6. -2 x (-2) = 4
7. -3 x (-1) = 3
8. -3 x (-3) = 9
9. -1 x (-1) = 1
8. 1. |3x+4| = x-82. |3x+1| = |2x +9|3. |5x-6| = 2x+3
Jawaban:
jawaban ada dilampiran
Penjelasan dengan langkah-langkah:
maaf ya klw salah,
9. lim-0 2x-6 / 3-x+2 tan(3x-9)
lim x→0 (2x - 6)/(3 - x + 2 tan(3x - 9))
uji dulu x = 0. jika hasilnya tidak = 0/0, maka itulah hasilnya
jika hasil = 0/0, bisa gunakan turunan, faktor, dll
soal diatas memenuhi substitusi langsung, krena tidak = 0/0
=(0 - 6)/(3 - 0 + 2 tan(0 - 9))
= -6/(3 + 2 tan(9)), atau
= -1,8089........
10. Penyelesaian dari persamaan 3x+2(2x-3)=6(x+4)-9 adalah?
3x + 4x - 6 = 6x + 24 - 9
7x - 6 = 6x + 15
7x - 6x = 15 + 6
x = 213x + 4x - 6 = 6x + 24 - 9
3x + 4x - 6x = 24 - 9 + 6
x = 21
11. tentukan himpunan penyelesaian 2 ^ (3x - 6) = 9 ^ (2x - 3)
EKsponen
Persmaaan
bentuk a^x = b^y
Penjelasan dengan langkah-langkah:
HP x
[tex]\sf 2^{3x-6} = 9^{2x-3}[/tex]
[tex]\sf log (2^{3x-6}) = log (9^{2x-3})[/tex]
[tex]\sf log (2^{3x-6}) = log (3^2)^{2x-3}[/tex]
[tex]\sf (3x- 6) log 2 = 2(2x- 3) log 3[/tex]
[tex]\sf 3xlog2 - 6log 2 = 4xlog 3 - 6log 3[/tex]
[tex]\sf 3x \ log 2- 4x \ log \ 3 = 6\ log 2 - 6 \ log 3[/tex]
[tex]\sf x (3 \ log 2 - 4 \ log 3) = 6 \ log\ 2 - 6 \ log \ 3[/tex]
[tex]\sf x = \dfrac{6 \ log\ 2 - 6 \ log \ 3}{3 \ log 2 - 4 \ log 3}[/tex]
[tex]\sf atau \ \sf x = \dfrac{6 \ log\ 3 - 6 \ log \ 2}{4 \ log\ 3 - 3 \ log \ 2}[/tex]
12. Selesaikan soal berikuta. |2x+5| = |2-x|b. |9-3x| ≥ 6c. |2x-9| > 7d. |5-2x| < 3e. |3x+6| ≤ 12f. 2 ≤ |2x-1| ≤ 5g. |2x+3| ≥ |3x-2|h. |x+2 / 2x-3| < 4
Jawaban:
bapak kau be suruh kayak gini
13. 1. 2x(x-3)= 2. (Y-3)(y-5)= 3. (2x+5)(x-7)= 4. (3x-1)(2x+8)= 5. (4y+4)(3y-3)= 6. (X-3)²= 7. (3y+6)(3y+6)= 8. (3x-4)²= 9. 2y(y-2)(2y-6)= 10. (X+2)(2x-6)(3x+9)=
Jawaban:
1. 2x²-6x
2. y²-8y+15
3. 2x² - 9x -35
4. 6x²+22x−8
5. 12y² - 12
6. x² - 6x + 9
7. 9y² + 36y + 36
8. 9x² - 24x + 16
9. 4y³ - 20y² + 24y
10. 6x³ + 12x² - 54x - 108
Semoga bermanfaat dek
14. 1. | x + 2 | - 4 = | 3x - 1 |2. | 2x – 4 | + 6 = | x + 3 |3. 2| x – 2| = 8 – 3 | 2 – 3x |4. 9 – 2| 5 – 3x | = 3| 2x +1 |5. 20 = 2| x + 3| - 3| 5 – 2x |
Jawaban:
1.l x +2 l 4=| 3× -1 l
Penjelasan:
karna gitu
15. 14. Bentuk sederhanadari4x2-96x + 5x - 6adalah.....A.3х - 22x-3B.3x + 22x + 3C.2x - 32x + 3D.3x + 2
Jawaban:
B.3*+2
2*+3
Penjelasan dengan langkah-langkah:
maaf kalo salah y semoga bermanfaat ya
Jawaban:
d.3*+2
Penjelasan dengan langkah-langkah:
maaf kalo slah
semoga brmanfaat
16. lim x mendekati 3 2x^2 -3x -9 per x.sin (2x - 6)
lim [x-->3] (2x² - 3x - 9/x sin 2(x - 3)
= lim [x-->3] (2x + 3)(x - 3) / x . 2 sin (x - 3) cos (x - 3)
= lim [x-->] (2x + 3)/2x cos (x - 3)
= (2.3 + 3)/2.3 cos 0
= 9/6
= 3/2
17. Tentukan himpunan penyelesaian dari: 1. 4(2x-7)+3= -9 2. 2(3x-3)-8=2x+6
Jawaban:
[tex]1. \: \: 4(2x - 7) + 3 = - 9 \\ (8 \times - 28) + 3 = - 9 \\ (8x - 28) = - 9 - 3 \\ 8x - 28 = - 12 \\ 8x = - 12 + 28 \\ 8x = 16 \\ x = \frac{16}{8} \\ x= 2 \\ \\ \: 2. \: \: 2(3x - 3) - 8 = 2x + 6 \\ (6 x - 6) - 8 = 2x + 6 \\ (6x - 6) = 2x + 6 + 8 \\ 6x - 6 = 2 x + 14 \\ 6x - 2x = 14 + 6 \\ 4x = 20 \\ x = \frac{20}{4} \\ x = 5[/tex]
18. Lim x mendekati 3 2x^2 -3x -9 / 6-2x x —> 3
[tex] \lim_{x \to3} \frac{2 {x}^{2} - 3x - 9 }{6 - 2x} \\ = \lim_{x \to3} \frac{(2x + 3)(x - 3)}{2(3 - x)} \\ = \lim_{x \to3} \frac{(2x + 3)(x - 3)}{ - 2(x - 3)} \\ = \lim_{x \to3} \frac{2x + 3}{ - 2} \\ = \frac{2(3) + 3}{ - 2} \\ = - \frac{9}{2} [/tex]
19. 1. x pangkat 2-5x-6 per x+1 2. 3x pangkat 2-27 per x pangkat 2+2x-3 3. 2x pangkat 2+3x-9 per x pangkat 2+2x-3
[tex] \frac{x^{2} - 5x - 6}{x + 1} = \frac{(x + 1)(x - 6)}{(x +1)} = x + 6 \\ \\ \frac{3x^{2} - 27}{x^{2} + 2x - 3} = \frac{3(x - 3)(x + 3)}{(x - 1)(x + 3)} = \frac{3x - 9}{x - 1} \\ \\ \frac{2x^{2} + 3x - 9}{x^{2} + 2x -3} = \frac{(2x - 3)(x + 3)}{(x - 1)(x + 3)} = \frac{2x - 3}{x - 1} [/tex]
20. 1. x pangkat 2 - 5x - 6 / x + 1 2. 3x pangkat 2 - 27 / x pangkat 2 + 2x - 3 3. 2x pangkat 2 + 3x - 9 / x pangkat 2 + 2x -3
1.(x-6)(x+1)/x+1=x-6
2.(3x-9)(x+3)/(x+3)(x-1)=(3x-9)/(x-1)
3.(2x-3)(x+3)/(x+3)(x-1)=(2x-3)/(x-1)
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