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2 years ago

Solve for x 6 ( x − 6 ) = 5 ( x + 1 )

Mathematics

2 answers:

prisoha [69]2 years ago

8 0

Answer:

x = 41

Step-by-step explanation:

6(x−6)=5(x+1)

Step 1 - Expand the brackets:

6(x - 6) = 5(x + 1)

6x - 36 = 5x + 5

Step 2 - Add 36 to both sides of the equation:

6x - 36 + 36 = 5x + 5 + 36

6x = 5x + 41

Step 3 - Subtract 5x from both sides of the equation:

6x - 5x = 5x + 41 - 5x

x = 41

Hope this helps!

liubo4ka [24]2 years ago

6 0

$\large\underline{\sf{Solution-}}$

Given expression:

6(X - 6) = 5(X + 1)

⇛6X - 36 = 5X + 5

⇛6X - 5X = 5 + 36

⇛X = 41 Ans.

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A) Find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s.

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A) $a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}$

B) $a_{0} = a_{1} = 0$

C) for n = 2

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for n = 3

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Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : $2^{n-2}$ strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

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$a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}$

for n = 2

$a_{2}$ = 1

for n = 3

$a_{3}$ = 3

for n = 4

$a_{4}$ = 8

for n = 5

$a_{5}$ = 19

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