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3 years ago

The sum of a number and its reciprocal is 13/6. find the number

1 answer:

6 0

Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2

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What is the answer to triple a number is the s game as double the number increased by 5

kramer

Answer:

x = 7

Step-by-step explanation:

Let x = the number. Then

"Triple a number" means 3x

"is the same as" means =

"double the number increased by 5" means 2x + 7

∴ 3x = 2x + 7

Subtract 2x from each side

x = 7

The answer is x = 7.

Check:

3 × 7 = 2 × 7 + 7

21 = 14 + 7

21 = 21

OK.

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3 years ago

Question 8b , thanks

marta [7]

Answer:

Step-by-step explanation:

$a = \frac{2b+1}{3b-1}$

b = 2/3

$2b + 1 = 2*\frac{2}{3}+1\\\\=\frac{4}{3}+1\\\\=\frac{4}{3}+\frac{3}{3}\\\\=\frac{7}{3}\\\\3b-1 = 3*\frac{2}{3}-1\\\\=2- 1 = 1\\\\\\$

$a = \frac{2b+1}{3b-1}\\\\a=\frac{\frac{7}{3}}{1}\\\\=\frac{7}{3}\\\\$

a = 7/3

$\frac{2b+1}{3b-1}=a\\\\$

Cross multiply,

2b + 1 = a*(3b - 1)

2b + 1 = a*3b - 3*a

2b + 1 = 3ab- 3a

2b = 3ab - 3a - 1

2b - 3ab = -3a - 1

b(2 - 3a) = -3a - 1

$b =\frac{-3a - 1}{2 - 3a}$

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gregori [183]

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Step-by-step explanation:

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