Which the following function is always positive for all values of x?
1. Which the following function is always positive for all values of x?
bagaimana mengikuti selalu positif dengan semua
2. Given that 5x² - 7x + 3 = A(x - 1)(x - 2) + B(x - 1) + C for all values of x, find the values of A, B, and C!
Penjelasan dengan langkah-langkah:
5x²-7x+3= A(x²-3x+3)+BX-B+C
5x²-7x+3= Ax²-3Ax+Bx+3A-B+C
maka A = 5
maka 3A-B= 7
3(5)-B= 7
B= 8
maka 3A-B+C= 3
= 15-8+C= 3
maka C= -4
maka (A,B,C)---> (5,8,-4)✓
3. If (ax + 2)(bx + 7) = 15x2 + 2x + 14 for all values ofx, and a + b = 8, what are the two possiblevalues for c ?
Penjelasan dengan langkah-langkah:
First we can expand the left hand side:
(ax+2)(bx+7)abx2+2bx+7ax+14abx2+(7a+2b)x+14=15x2+cx+14=15x2+cx+14=15x2+cx+14
We can equate coefficients to see that
ab7a+2b=15=c(x2)(x)
We can say that
a+ba=8=8−b
And thus
ab(8−b)b8b−b2b2−8b+15(b−5)(b−3)=15=15=15=0=0
So we can say b=3 or b=5
When b=3, then a=5 and we can say that
c=7a+2b=7×5+2×3=35+6=41
When b=5, then a=3 and we can say that
c=7a+2b=7×3+2×5=21+10=31
So, the two values of c are 41 and 31
4. Establish a table of values for f(x)=5x³-8x²+10 for -1.5 ≤ x ≤ 2, including half values of x. Key in your answer a list of ordered pairs, starting from the least value of x
Jawab
Penjelasan dengan langkah-langkah:
250x
5. Find the value of 1/2 for given values of x
Jawaban:
tidak tau jajajamkslsos0soakkanabjaidjd
Penjelasan dengan langkah-langkah:
shdjsjsksklalapqlm2oe8urndjkslapa0papa
6. 4) Which of the following represents all the possible values of x that satisfy the equation below? X X x − 3 2x 2 *
Nilai x memenuhi persamaan yaitu x = 0 atau x = 4. Soal ini berkaitan dengan materi mencari nilai x dari suatu persamaan.
Penjelasan dengan langkah-langkahDiketahui :
Koreksi soal, mungkin maksud Anda persamaan x/(x-3) = 2x/2
Ditanyakan :
Solusi dari permasalahan tersebut
Jawab :
Langkah 1
x / (x - 3) = 2x / 2
Jika dipindah ruas akan menjadi :
x . 2 = 2x . (x – 3)
Selanjutnya kita lakukan operasi
2x = [tex]2x^{2}[/tex] – 6x
0 = [tex]2x^{2}[/tex] – 8x
0 = 2x (x – 4)
x = 0 atau x = 4
Jadi, x yang memenuhi adalah x = 0 atau x = 4
Pelajari Lebih LanjutMateri tentang mencari nilai x dari suatu persamaan brainly.co.id/tugas/26215307
#BelajarBersamaBrainly #SPJ1
7. By completing the square, prove that 2x^2-4x+3=0 is always positive for all real values of x
Jawab:
fungsi kuadrat selalu bernilai positif jika :
a> 0 dan D < 0
f(x) = 2x²-4x+3
a = 2 --> 2 > 0 , sehingga terbukti a > 0
D = b² - 4 ac
= (-4)² - 4(2)(3)
= 16 - 24
= -8 -----> -8 < 0, sehingga terbukti D < 0
8. How to choose x values for ×^2-x-12
X²-x-12
=(x+3)(x-4)
X= - 3 atau x=4
Semoga dapat membantu yak
x2-x-12=(x-4)(x+3); x=4v x=-3
x2-x-12=(x-4)(x+3); x=4v x=-3
9. Solve for x and find the measure of the bold angle
[tex]16x - 6 = 14x + 6 \\ 16x - 14x = 6 + 6 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ \\ bold \: angle \\ 14x + 6 \\ 14.6 + 6 \\ 84 + 6 \\ 90[/tex]
10. 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
11. which of the following is always positive for all values of x? a. 3xkuadrat - 5x - 4 b. 5xkuadrat - 2x + 3 c. 3xkuadrat + 5x - 4 d. -3xkuadrat - 2x + 3 e. -5xkuadrat + 2x - 3
syarat D < 0 dan a> 0
a. D = 25 +48 = 73 , a = 3
b. D = 4 - 60 = -56 , a = 5
c. D = 25 + 48 = 73 , a =3
d. D = 4 +36 = 40 , a = -3
e. D = 4 -60 = -56 , a = -5
jadi jawabannya b
12. 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
13. 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}
14. 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:
15. |3x + 5) = 8. Find all values of x which make this equation true.
Jawaban:
1, -13/3
Penjelasan dengan langkah-langkah:
|3x + 5| = 8
if 3x + 5 positive:
3x + 5 = 8
3x = 8 - 5 = 3
Hence x = 1
if 3x + 5 negative:
-3x - 5 = 8
-3x = 8 + 5 = 13
Hence x = -13/3
16. show that x^2 + 8x + 16 > 0 for all values of x no 2 dan 3 ya kak tolong
Jawab:
Penjelasan dengan langkah-langkah:
Jawaban pada lampiran foto
no.2 Hp penyelesaiannya adalah
x = semua anggota bilangan rasional
no.3 Hp penyelesaiannya adalah
x = semua anggota bilangan rasional
17. The expression (
Jawaban:
Daily Expression in English
Sorry, I didn't mean to. Maaf, saya tidak sengaja.
You are really something. Kamu ada-ada saja.
Take it easy. Santai saja.
Don't block my sight. Jangan halangi pandanganku.
I change my mind. Saya berubah pikiran.
Don't give up! Jangan menyerah!
I don't care. Saya tidak peduli.
Please move a bit. Tolong geser sedikit.
18. "All her friends often ask for her helpsto solve math problems." Mention thesynonyms of the underlined word!Answer:.....*Solve Yang Di Garis BawahYang Bisa Bahasa Enggres
Jawaban:
menyelesaikan,mengatasi,mencari
bahasa Inggris nya : finish, overcome, seek
Penjelasan:
semoga TDK salah yaa
19. What is the function / formula for finding the sum of all values from the above data? (From Google Spreadsheet)
Jawaban:
untuk Nilai
Penjelasan:
Maaf banget kalau salah yaa
20. 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
.
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