Solve for x: |x-5|=2|x+1|
1. Solve for x: |x-5|=2|x+1|
(x-5 +2x+2)(x-5 - (2x+2)) = 0
(3x - 3) (-x+3) = 0
x = 1 atau x = 3
2. Solve for x + 5 = 13.
Penjelasan dengan langkah-langkah:
x + 5 = 13
x = 13 -5
x = 8
semoga membantu
Jawab:
X + 5 = 13
X = 13 - 5 = 8
Penjelasan dengan langkah-langkah:
3. |x-2|+|x+3|<5 solve for x plissss sekarang jugaa
Semoga paham yaa.. :))
4. Form an equation in x use it to solve for X
4 · 15 = x + 10 + x + 8 + 28
60 = 2x + 46
14 = 2x
x = 7
Sekian,semoga membantu.(x + 10 + x + 8 + 28) / 4 = 15
2x + 46 = 15 × 4
2x = 60 - 46
x = 14/2
x = 7
Kalau boleh jadikan jawaban terbaik yah.
5. hasil dari (15x-5)x x/5[tex](15x -5) \times x per \: 5[/tex]
Penjelasan dengan langkah-langkah:
[tex](15x - 5) \times \frac{x}{5} \\ = x(3x - 1) \\ = 3 {x}^{2} - x[/tex]
6. nilai x dari persamaan 15x-10=5 adalah....
10+5 = 15 = 15x
15x / 15 = 1
x = 1
7. Berapakah [tex]\frac{3}{2}x+5 = 6[/tex] Solve for x btw
Jawab:
2/3
Penjelasan dengan langkah-langkah:
8. Diketahui f(x) = 2x + 15 dan g(x) = 4:X+5.Rumus komposisi fungsi (fog)(x) adalahA.2:X+10B. 4:X+20C.15X+8:X+5D.15X+79:X+5E.15X+83:X+5
[tex]f(x) = 2x + 15 \\ g(x) = \frac{4}{x + 5} \\ (fog)(x) = f(g(x)) \\ = 2g(x) + 15 \\ = 2( \frac{4}{x + 5} ) + 15 \\ = \frac{8}{x + 5} + \frac{15(x + 5)}{x + 5} \\ = \frac{8}{x + 5} + \frac{15x + 75}{x + 5} \\ = \frac{15x + 83}{x + 5} [/tex]
9. 1. Solve for x when 16x = 2x + 56. 2. Solve for x when 14 = [tex] \frac{6 + 4x}{5x} [/tex] 3. Solve for x when 45 = 24 + 3x. 4. Solve for x if 5x2 + 20 = 1,000. 5. If q = 560 − 3p solve for p when q = 314.
1.
16x = 2x + 56
16x - 2x = 56
14x = 56
x = 56/14
x = 4
2.
[tex]14 = \frac{6 + 4x}{5x} \\ 14 \times 5x = 6 + 4x \\ 70x = 6 + 4x \\ 70x - 4x = 6 \\ 66x = 6 \\ \frac{6}{66} = x \\ \frac{1}{11} = x[/tex]
3.
45 = 24 + 3x
45 - 24 = 3x
21 = 3x
21/3 = x
7 = x
4.
5x² + 20 = 1000
5x² = 1000 - 20
5x² = 980
x² = 980/5
x² = 196
x = √196
x = 14
5.
q = 560-3p
314 = 560 - 3p
3p = 560 - 314
3p = 246
p = 246/3
p = 82
10. Quiz15x - 5 = 10x = ?
15x - 5 = 10
15x = 10 + 5
15x = 15
x = 15 ÷ 15
x = 1
[tex]\blue{\ast} \purple{\bigstar}\pink{\mathcal{Answer \: By \: : \: Sabria01}} \purple{\bigstar}\blue{\ast}[/tex]
15x-5=10
→15x-5+5=10+5
→15x=10+5
→15x=15
→x=15÷15
→x=1
ezz
11. Form an equation in x use it to solve for X
(x + 10 + (x+8) + 28) / 4 = 15
2x + 46 = 15 . 4
2x = 60 - 46
2x = 14
x = 7
(x + 10 + x + 8 + 28) / 4 = 15
2x + 46 = 15 × 4
2x = 60 - 46
x = 14/2
x = 7
Kalau boleh jadikan jawaban terbaik yah.
12. Nilai dari persamaan (5√x5) (3x) adalah A. 15x³x³x B. x² V15x5x C. 15x²√x5x D. x²√x³15x E. 15x²
Penjelasan dengan langkah-langkah:
EKSPONENmania
(5√x^5)(3x)
= (5x²√x)(3x)
= 5×3 x²+¹ √x
= 15x³√x ✔Penyelesaian:(5√(x⁵)(3x)
=(5x²√x)(3x)
=15x³√x
[tex] \boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}} [/tex]
13. solve cosec (x-30°) = 2 for 0°<x<360°pliss bantuu
Himpunan penyelesaian dari [tex] \rm cosec(x-30)^o = 2[/tex] adalah {60°,180°}.
Pendahuluan :[tex]\bf\blacktriangleright Pengertian:[/tex]
Trigonometri adalah ilmu matematika yang mempelajari mengenai sudut. Contoh dari sudut yang akan dipelajari : sinus, cosinus, tangen, cosecan, secan, dan cotangen.
[tex] \\[/tex]
[tex]\bf\blacktriangleright Persamaan~Trigonometri~Umum :[/tex]
•[tex]\rm sin~x = sin~\alpha[/tex]
Kemungkinan 1 : x = α + k.360
Kemungkinan 2 : x = (180-α) + k.360
•[tex]\rm cos~x = cos~\alpha[/tex]
Kemungkinan 1 : x = α + k.360
Kemungkinan 2 : x = -α + k.360
•[tex] \rm tan~x = tan~\alpha[/tex]
Kemungkinan 1 : x = α + k.180
[tex]\\[/tex]
[tex]\bf\blacktriangleright cos(x+\alpha) \pm cos(x-\alpha) = c ~dan~sin(x+\alpha)\pm sin(x-\alpha) = c :[/tex]
•[tex] \rm sin(A+B)+sin(A-B) = 2sin~A.cos~B[/tex]
•[tex] \rm sin(A+B)-sin(A-B) = 2cos~A.sin~B[/tex]
•[tex] \rm cos(A+B)+cos(A-B) = 2cos~A.cos~B[/tex]
•[tex] \rm cos(A+B)-cos(A-B) = -2sin~A.sin~B[/tex]
[tex] \\[/tex]
[tex]\bf\blacktriangleright ax+bx = 0:[/tex]
•[tex] \rm sin~A+sin~B = 2sin\frac{1}{2}(A+B)cos\frac{1}{2}(A-B)[/tex]
•[tex] \rm sin~A-sin~B = 2cos\frac{1}{2}(A+B)sin\frac{1}{2}(A-B)[/tex]
•[tex] \rm cos~A+cos~B = 2cos\frac{1}{2}(A+B)cos\frac{1}{2}(A-B)[/tex]
•[tex] \rm cos~A-cos~B = -2sin\frac{1}{2}(A+B)sin\frac{1}{2}(A-B)[/tex]
[tex] \\[/tex]
[tex]\bf\blacktriangleright acos~x+bsin~x :[/tex]
•[tex] \rm k~cos(x-\alpha)[/tex]
•[tex] \rm k~cos(x+\alpha)[/tex]
•[tex] \rm k~sin(x+\alpha)[/tex]
•[tex] \rm k~sin(x-\alpha)[/tex]
k diperoleh dari :[tex] \rm \sqrt{a^2+b^2}[/tex]
α diperoleh dari : [tex] \rm tan~\alpha =\frac{b}{a}[/tex]
dimana : a adalah koefisien cos dan b koeofisien sin
[tex] \\[/tex]
[tex]\bf\blacktriangleright sin(A\pm B)~dan~cos(A\pm B) :[/tex]
•[tex] \rm sin(A+B) = sinA.cosB+cosA.sinB[/tex]
•[tex] \rm sin(A-B) = sinA.cosB-cosA.sinB[/tex]
•[tex] \rm cos(A+B) = cosA.cosB-sinA.sinB[/tex]
•[tex] \rm cos(A-B) = cosA.cosB+sinA.sinB[/tex]
[tex]\\[/tex]
[tex]\bf\blacktriangleright Tabel~Trigonometri:[/tex]
[tex]\rm{\boxed{ \begin{array}{c|c|c|c|c|c} \underline {{}\alpha} &\underline{\bf 0^o}&\underline{\bf 30^o}& \underline{\bf 45^o}&\underline{\bf 60^o}&\underline{\bf 90^o} \\\\ \bf sin~\alpha & 0 & \frac{1}{2} & \frac{1}{2}\sqrt{2} & \frac{1}{2}\sqrt{3} & 1 \\\\ \bf cos~\alpha & 1 & \frac{1}{2}\sqrt{3} & \frac{1}{2}\sqrt{2} & \frac{1}{2} & 0 \\\\ \bf tan~\alpha & 0 & \frac{1}{3}\sqrt{3} & 1 & \sqrt{3} & \infty \end{array}}}[/tex]
•Kuadran I (0° ≤ α ≤ 90°) = semua +
•Kuadran II (90°≤ α ≤ 180°) = sin +
•Kuadran III (180° ≤ α ≤ 270°) = tan +
•Kuadran IV (270° ≤ α ≤ 360°) = cos +
•Fungsi tetap 180 ± α atau 360 ± α
•Fungsi berubah 90 ± α atau 270 ± α (sin menjadi cos, cos menjadi sin, tan menjadi cotan)
Pembahasan :Diketahui :
[tex] \rm cosec(x-30)^o = 2[/tex] untuk 0° < x < 360°
Ditanya :
HP?
Jawab :
[tex] \rm cosec(x-30)^o = 2[/tex]
[tex] \rm \frac{1}{sin(x-30)^o} = 2[/tex]
[tex] \rm sin(x-30)^o = \frac{1}{2}[/tex]
[tex] \rm sin(x-30)^o = sin~30^o[/tex]
Kemungkinan 1 :[tex] \rm x-30 = 30+k.360[/tex]
[tex] \rm x = 30+30 +k.360[/tex]
[tex] \rm x = 60+k.360[/tex]
[tex] \rm k = 0\rightarrow x = 60^o[/tex] (M)
[tex] \rm k = 1\rightarrow x = 420^o[/tex] (TM)
Kemungkinan 2 :[tex] \rm x-30 = (180-30)+k.360[/tex]
[tex] \rm x-30 = 150+30 +k.360[/tex]
[tex] \rm x = 180+k.360[/tex]
[tex] \rm k = 0\rightarrow x = 180^o[/tex] (M)
[tex] \rm k = 1\rightarrow x = 540^o[/tex] (TM)
Kesimpulan :Jadi, HP = {60°,180°}.
Pelajari Lebih Lanjut :1) Operasi Hitung Trigonometri
https://brainly.co.id/tugas/417528882) Perbandingan Trigonometri
https://brainly.co.id/tugas/417446133) Identitas Trigonometri
https://brainly.co.id/tugas/417634574) Aturan Sinus
https://brainly.co.id/tugas/417845045) Aturan Cosinus
https://brainly.co.id/tugas/417652986) Persamaan Trigonometri Bentuk a cos x + b sin x
https://brainly.co.id/tugas/46598278Detail Jawaban :Kelas : 10Mapel : MatematikaMateri : TrigonometriKode Kategorisasi : 10.2.7Kata Kunci : Cosec, Sin, Persamaan Sederhana14. 6.15x(10+20=(15x )+( x )? 7.20x(-12+15)=(20 x )+( x )? 8.-40x(20+(30))=( x20)+( x )? 9.-20(30-(50))=(-20 x ) - ( x )? (-10(-10))x-27=(-10 x ) -( x )? tolong dong please
6. 15×(10+20) = (15×10)+(15×20)
7. 20×(-12+15) = (20×(-12))+(20×15)
8. (-40)×(20+30) = ((-40)×20)+((-40)×30)
9. (-20)×(30-50) = (-20×30)-(-20×(-50))
Maaf kalo salah:)
Semoga bermanfaat
15. solve for x in 2/5x = 8.
~ MathPenyelesaian:
= 2/5x = 8
x = ?
—5 × 2/5x = 8 × 5
2x = 40
2x = 40/2
x = 20
2/5x = 8
x = 5/2 × 8
x = 5 × 4
x = 20
16. Quiz15x + 5 = 10x - 10x = ?
Jawaban:
15x + 5 = 10x - 10
15x - 10x = -10 - 5
5x = - 15
x =-15/5x =-3Penjelasan dengan langkah-langkah:
semoga membantu dan jadikan jawaban tercerdas y
Jawaban:
≡ ALJABAR________________________
PENYELESAIAN 15x + 5 = 10x - 10x = 5 + 5x = 10xx = 10x + 5x = 15x = 15x - 5 = 10xx = 10x - 10x = 0PELAJARI LEBIH DETAIL https://brainly.co.id/tugas/3416942?https://brainly.co.id/tugas/3416942?https://brainly.co.id/tugas/3416942?[tex]\orange{\boxed{\tt{semoga \: bisa \: dipahami}}}[/tex]
17. Solve for x...good luck
Jawab:
x = 1, x = 3, x = 2, x = -1
Penjelasan dengan langkah-langkah:
Terlampir pada gambar yaa
eksponen
x^(x² - 5x + 6) = 1
kemungkinan 1
x = 1
kemungkinan 2
x² - 5x + 6 = 0 dg syarat x ≠ 0
(x - 2)(x - 3) = 0
x = 2 atau x = 3
memenuhi
kemungkinan 3
x = -1 dg syarat (x² - 5x + 6) adalah genap
(-1)^genap = 1
uji x = -1
(-1)² - 5(-1) + 6 = 1 + 5 + 6 = 12 memenuhi syarat
x = -1
memenuhi
HP={-1,1,2,3}
18. solve for x if 1/a + x-2 = b-2
1/a + x-2 = b-2
1 + x-2 = a (b-2)
1 + x-2 = ab - 2a
x-2 = ab - 2a - 1
x = ab - 2a - 1 - 2
maka x = ab - 2a - 3
19. solve for x 2^(3-x) = 565
Bab Logaritma
Matematika SMA Kelas X
2^(3 - x) = 565
²log 565 = 3 - x
3 - x = log 565 / log 2
3 - x = 2,752 / 0,301
x = 3 - 9,14
x = -6,14⇒log1023−x=log10 = 565
⇒(3−x)log10.2=2.7520
(3−x)(0.3010)=
2.7520
3−x=2.7520
0.3010=9.143
3.000−9.143=x
x=−6.143
.
20. solve for x 8(3^(6-3)) = 40
[tex]8(3^{6 - x}) = 40\\3^{6-x} = 5\\^3log5 = 6 - x\\1,5 = 6 - x\\x = 6 - 1,5\\x = 4,5[/tex]
Posting Komentar