The coefficient of x² in the expansion of (4 + ax)(1 + x/2)⁶ is 3. Find the value of the constant a.
1. The coefficient of x² in the expansion of (4 + ax)(1 + x/2)⁶ is 3. Find the value of the constant a.
[tex]a = - 4[/tex]
STEP :[tex]( {x + y})^{6} = {x}^{6} + 6 {x}^{5} y + 15 {x}^{4} {y}^{2} + 20 {x}^{3} {y}^{3} + 15 {x}^{2} {y}^{4} + 6 x {y}^{5} + {y}^{6} [/tex]
[tex](4 + ax)( {1 + \frac{x}{2} })^{6} = [/tex]
[tex](4 + ax) ({1}^{6} + 6( {1})^{5}( \frac{x}{2}) + 15( {1})^{4} ( {\frac{x}{2}})^{2} + 20( {1})^{3} ( {\frac{x}{2}})^{3} + 15( {1})^{2} ( {\frac{x}{2}})^{4} +6( {1}) ( {\frac{x}{2}})^{5} + ( {\frac{x}{2}}^{6} ) )[/tex]
[tex] = (4 + ax)(1 + 3x + \frac{15 {x}^{2} }{4} + \frac{ 20{x}^{3} }{8} + \frac{ 15{x}^{4} }{16} + \frac{ 6{x}^{5} }{32} + \frac{ {x}^{6} }{64} )[/tex]
unit that contains x² is :
[tex] = 4( \frac{15 {x}^{2} }{4} ) + ax(3x)[/tex]
[tex]= 15 {x}^{2} + 3a {x}^{2} [/tex]
[tex] = (15 + 3a) {x}^{2} [/tex]
The coefficient of x² is 3, so :
[tex]15 + 3a = 3[/tex]
[tex]3a = 3 - 15[/tex]
[tex]3a = - 12[/tex]
[tex]a = - 4[/tex]
2. 1. Choose your favorite song about humanity, then write the lyric! 2. Give the meaning of the song that you choose! 3. Find the moral value of the song you choose!
Jawaban:
1. Imagine - John Lennon
Imagine there's no heaven
it's easy if you try
No hell below us
Above us only sky
Imagine all the people living for today
Imagine there's no countries
It isn't hard to do
Nothing to kill or die for
And no religion too
Imagine all the people living life in peace, you
You may say I'm a dreamer
But I'm not the only one
I hope some day you'll join us
And the world will be as one
Imagine no possessions
I wonder if you can
No need for greed or hunger
A brotherhood of man
Imagine all the people sharing all the world, you
You may say I'm a dreamer
But I'm not the only one
I hope some day you'll join us
And the world will be as one
2.Through these lyrics, John Lennon was asking us to imagine a place where things that divide people did not exist. The song covers the violence issue we have in this world. We are surrounded by hate, cruelty, murder, war and racism. The world that he sings about tells us how we should want the world to be
3.To build a one world together as one without discriminate anything.
3. A. CHOOSE THE CORRECT ANSWER WITH USING PRONOUNS B. CHOOSE THE CORRECT ANSWER
Jawaban:
1. She - Her
2. His
3. They
4. Mine
5. He
6. I
7. Them - Their
8. Theirs
9. Me
10. His
11. Us
12. My - I - Him
13. It
14. My
15. His
16. C
17. C
18. B
19. A
20. gak kelihatan optionnya:( komen aja yaa.
semoga membantu:))
4. Excel get the right value with cell address
Jawaban:
Untuk menghasilkan referensi sel di Excel, kita bisa saja melakukan pengisian pada koordinat kolom dan baris secara manual. Atau, kita juga bisa mendapatkan alamat sel Excel dari angka atau nomor baris dan kolom yang sudah disediakan pada fungsi ADDRESS. Tidak diperlukan lagi untuk dikombinasikan dengan fungsi lain, teknik ini dapat menjadi satu-satunya pemecahan masalah ketika tidak mungkin untuk merujuk ke sel secara langsung.
5. If the sum of 5 different positive integers is 100, what is the greatest possible value for the median of the 5 integers? jawab pake cara yes thanks
let the numbers are a, b, c, d , and e with a < b < c < d < e
obvious, c as the median. to get the greatest median, then the first of 2 numbers must be minimum ((a,b) = (1,2) , (1,3), ... etc)) and the 3 last numbers (c,d, and e) are consecutive positive integers.
just trials :
if a = 1 and b = 2, then supposed c = x , d = x+1, and e = x + 2
give us :
1 + 2 + x + x + 1 + x + 2 = 100
3x + 6 = 100
3x = 94
x = 94/3 = 31.33 (it is not an integer)
others :
if a = 1 and b = 3, then let c = x, d = x+1, and e = x+2,
give us :
1 + 3 + x + x + 1 + x + 2 = 100
3x + 7 = 100
3x = 100 - 7
3x = 93
x = 93/3 = 31
therefore, the greatest possible value as the median is 31
6. The value of X is..Please answer it with the steps
Jawaban:
the value of X is C.256°
Steps :
62° + 42° = 104°
The minor Value of X is 104°
The Mayor Value of X is
360° - 104 ° = 256°
Thank you for example
7. The word "choose" in the manual above has the synonym with the wordplease jawab
Jawaban:
the synonym of "choose" is "select"
Penjelasan:
semoga membantu
FOLLOW ME PLEASE8. A double with the value of 20. 5 is cast to an int. What is the value of the int?.
20 + 20 = 40
5 is cast to an int
40 - 5 = 35
What is the value of the int?
= 5 int
Penjelasan:
Good luck
9. What is the value of the angle marked with x in the following parallelogram? jawab yang bener pls
kakak jawab pakai logika saja ya dek,,logika nya ada di gambar
nah jadi ½ lingkaran itu kan 180°,,jika di setengah lingkaran ada dua sudut dan sudut pertama sudah diketahui 113°,maka sudut yang satu nya lagi 180° - 113=67°
jadix=67°
SEMOGABERMANFAATDetail Jawaban :•Kelas : 8•Mapel : Matematika•Materi : Sudutsudut•Kode Kategorisasi : 8.2.5•Kata Kunci :-10. One of Shaw's........... "Pygmalion", was the story that formed the basis for the musical play "my fair lady". A. greatest workB. greatest works C. the greatest work D. the greatest works
Jawaban:
A. greatest work
Penjelasan:
Karena di sebutkan "Pygmalion" dan itu saja jadi jawabannya greatest work dan bukan greatest works karena hanya 1 yang disebut.
hope this helps, jadikan jawaban terbaik ya!
Terima kasihh ♡
B. greatest workskarya Shaw ada banyak (plural) sedangkan Pygmalion adalah salah satunya (one of) sehingga jawaban yang tepat adalah opsi B.
_______
semangat belajar....
#pertamax
11. arrange 2/3,1/12 and 5/6 in order beginning with the greatest
Jawaban: ⅚,⅔ ¹/¹²
Penjelasan:
12. Which of the following has the greatest value?A. 2⁶⁶B. 3⁵⁵C. 4⁴⁴D. 5³³E. 6²²
[tex] {2}^{66} = \sqrt[11]{ {2}^{66} } = {2}^{6} = 64[/tex]
[tex] {3}^{55} = \sqrt[11]{ {3}^{55} } = {3}^{5} = 243[/tex]
[tex] {4}^{44} = \sqrt[11]{ {4}^{44} } = {4}^{4} = 256[/tex]
[tex] {5}^{33} = \sqrt[11]{ {5}^{33} } = {5}^{3} = 125[/tex]
[tex] {6}^{22} = \sqrt[11]{ {6}^{22} } = {6}^{2} = 36[/tex]
Yang memiliki nilai yang terbesar adalah C. 4⁴⁴
Catatan:
Semuanya diakarkan dengan angka yang sama, supaya lebih sederhana dan lebih mudah untuk dihitung.
Terima kasih.
• Academic Test
-
Which of the following has the greastest value ?
•••
Change to the same form , we get :
2⁶⁶ = ( 2⁶ )¹¹ → 64¹¹
3⁵⁵ = ( 3⁵ )¹¹ → 243¹¹
4⁴⁴ = ( 4⁴ )¹¹ → 256¹¹ ← Greatest value
5³³ = ( 5³ )¹¹ → 125¹¹
6²² = ( 6² )¹¹ → 36¹¹
•••
13. arrange 2/5,3/10 and 5/6 in order beginning with the greatest
2/5=0,4
3/10=0,3
5/6=0,833
the order is=5/6,2/5,3/10
I hope this help
#make the best answer
14. make sentence beginning with if choose from the boxes see the example
1. If you don't hurry, you'll be late.
2. If you pass the exam, you'll get a certificate.
3. If you fail the exam, you can do it again.
4. If you don't want this comic, you can give it to me.
5. If you want those novels, you can have them.
6. If you're busy now, we can talk later.
7. If you're hungry, we can have lunch now.
8. If you need help, you can go to my place.
15. What is the value of the angle marked with x in the following rhombus? plss butuh bangett
*semoga membantu yaa
*semangat belajarnya :)
16. choose the corret time expression userd with the present continuous lense
Jawaban:
We use the present continuous with time expressions such as: now, at the moment, at present, today, tonight, this morning/afternoon/evening, this week/month/year & while.
17. Help ini sudah aku simplifiedThe Value of list1 is the name of gabriel with the age of 12and daniel with the age of 17and Inside of list1 there is another value called ortu with te Values of their parents name aisyah with the age of 34 and budi with the age of 35There is also another variable called list2 with the value of list1 in ortuand then the value list2 is printed to the screenDosennya jahat gak bagi cara pake bhs indo.....
Jawaban:
Nilai LIST1 adalah nama Gabriel dengan usia 12 dan Daniel dengan usia 17 dan di dalam List1 ada nilai lain yang disebut Ortu dengan nilai te dari nama orang tua mereka Aisyah dengan usia 34 dan Budi dengan usia 35
Ada juga variabel lain yang disebut LIST2 dengan nilai List1 di Ortu
Penjelasan:
maaf bisa terjemahkan soalnya doang
(Sorry to translate)
18. fill the blanks with conjunction.will you choose MANGO...watermelon
Jawaban:OR
Penjelasan:
19. Borobudur is the greatest
And then? Is that a question?
20. Heburn Choose the correct Pronoun (him his, himsele) with the marches
Jawaban:
his
Penjelasan:
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