Q.[tex] \sf \: f(x) = x! + x(x) \times {5}^{x}[/tex][tex] \sf \: f(5) = ...[/tex][tex] \tiny \tt \:.... Question from @FaaCha

Zan643

$\bf \: f(x) = x! + x(x) \times {5}^{x}$

$\bf f(5) = 5 ! + 5(5) \times {5}^{5}$

$\bf \: f(5) = 5! + ( 25 \times ( 5 × 5 × 5 × 5 × 5 ))$

$\bf \: f(5) = 5! + ( 25 × ( 25 × 5 × 5 × 5 ))$

$\bf \: f(5) = 5! + ( 25 × ( 125 × 5 × 5 ))$

$\bf \: f(5) = 5! + ( 25 × ( 625 × 5 ))$

$\bf \: f(5) = 5! + ( 25 × 3.125)$

$\bf \: f(5) = 5! + 78.125$

$\bf \: f(5) = ( 5 × 4 × 3 × 2 × 1 ) + 78.125$

$\bf \: f(5) = ( 20 × 3 × 2 × 1 ) + 78.125$

$\bf \: f(5) = ( 60 × 2 × 1 ) + 78.125$

$\bf \: f(5) = ( 120 × 1 ) + 78.125$

$\bf \: f(5) = 120 + 78.125$

$\bf \: f(5) = 78.245$

2 votes Thanks 5

myiinx koreksi

Zan643 Done

FaaCha Maacih <3

Zan643 Sama - sama ^^

myiinx hasil nya beda_.

myiinx Dahulukan perkalian.

Zan643 Oh ok

Zan643 Maaf ya kalau banyak salah T_T

myiinx y. gpp.

FaaCha Makasih

myiinx

Jawaban:

78.245

Penjelasan dengan langkah-langkah:

Diketahui :

$\sf \: f(x) = x! + x(x) \times {5}^{x}$

Ditanya :

$\sf \: f(5) = ...$

Jawab :

f(5) = 5! + 5(5) × 5^5
f(5) = ( 5 × 4 × 3 × 2 × 1 ) × 5(5) × 5^5
f(5) = ( 20 × 3 × 2 × 1 ) × 5(5) × 5^5
f(5) = ( 60 × 2 × 1 ) × 5(5) × 5^5
f(5) = ( 120 × 1 ) × 5(5) × 5^5
f(5) = 120 + 5(5) × 5^5
f(5) = 120 + ( 5 + 5 + 5 + 5 + 5 ) × 5^5
f(5) = 120 + ( 10 + 5 + 5 + 5 ) × 5^5
f(5) = 120 + ( 15 + 5 + 5 ) × 5^5
f(5) = 120 + ( 20 + 5 ) × 5^5
f(5) = 120 + 25 × 5^5
f(5) = 120 + 25 × ( 5 × 5 × 5 × 5 × 5 )
f(5) = 120 + 25 × ( 25 × 5 × 5 × 5 )
f(5) = 120 + 25 × ( 125 × 5 × 5 )
f(5) = 120 + 25 × ( 625 × 5 )
f(5) = 120 + 25 × 3.125
f(5) = 120 + 78.125
f(5) = $\it\red{{{78.245}}}$

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Kesimpulan :

maka, nilai dari f(5) adalah $\it\red{{{78.245}}}$

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Detail jawaban :

Mapel : Matematika
Kelas : Vlll ( SMP )
Tingkat : Sekolah Menengah Pertama
Materi : Fungsi
Kode soal : 2
Kode katagorisasi : 8.2.2
Kata kunci : nilai dari f(5)

- P

2 votes Thanks 6

Detail jawaban :

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