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UNO [17]
4 years ago
11

14 subtracted from 5 times a number is 6

Mathematics
2 answers:
DerKrebs [107]4 years ago
6 0
(5*x) -14  = 6
5x = 6 +  14
5x = 20
x =  20/5 = 4
kkurt [141]4 years ago
4 0
It's 5x - 14 = 6.

let x be the number.

Since 14 is subtracted from 5 times a number. It is not automatically 14 - 5. you have to consider that 14 is actually deducted from the product of 5 and a number.

5x - 14 = 6
5x = 6 + 14
5x = 20
5x/5 = 20/5
x = 4

To check:
5x - 14 = 6
5(4) - 14 = 6
20 - 14 = 6
6 = 6

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7 0
3 years ago
Using binomial theorem, expand (x+6)^8 <br><br> edit: You could use the help of combinations too.
Pavlova-9 [17]

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

<u>Explanation:</u>

We know

(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ

and ⁿCₐ = n! / ( a! ) . ( n-a )!

So,

(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸

         = ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ     46656 + 8x . 279936 + 1679616

         = x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

Thus, the expansion of ( x+6)⁸ using binomial theorm is

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

4 0
3 years ago
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