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3 years ago

Express f(x) =3\x²- 1 in partial fraction

1 answer:

7 0

3/(x ² - 1) = 3/((x - 1) (x + 1)) = a/(x - 1) + b/(x + 1)

==> 3 = a (x + 1) + b (x - 1)

==> 3 = (a + b) x + a - b

==> a + b = 3 and a - b = 0

==> a = b

==> a + b = 2a = 3 ==> a = 2/3 and b = 2/3

So you have

3/(x ² - 1) = 2/(3(x - 1)) + 2/(3(x + 1))

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The sum of two consecutive integers is 123 what’s is the smallest of the two integers

RideAnS [48]

The smallest of two integers is 61

Step-by-step explanation:

Let x be the smaller integer

Then the next integer will be:

x+1

According to given statement that the sum of both is 123

$x+ (x+1) = 123\\x+x+1=123\\2x+1=123$

Subtracting 1 from both sides

$2x+1-1=123-1\\2x=122$

Dividing both sides by 2

$\frac{2x}{2}=\frac{122}{2}\\x=61$

The smallest of two integers is 61

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

docker41 [41]

Given =

Two similar pyramid have base area of 12.2 cm² and 16 cm².

surface area of the larger pyramid = 56 cm²

find out the surface area of the smaller pyramid

To proof =

Let us assume that the surface area of the smaller pyramid be x.

as surface area of the larger pyramid is 56 cm²

Two similar pyramid have base area of 12.2 cm² and 16 cm².

by using ratio and proportion

we have

ratio of the base area of the pyramids : ratio of the surface area of the pyramids

$\frac{12.2}{16} : \frac{x}{56}$

x = 12.2 ×56× $\frac{1}{16}$

by solvingthe above terms

we get

x =42.7cm²

Hence the surface area of the smaller pyramid be 42.7cm²

Hence proved

3 0

3 years ago

Read 2 more answers

Round 4.645 to the nearest whole number.

jeka94

5. since .6 is greater than 5, we round up.

7 0

3 years ago

Read 2 more answers

If a table and a bench is $1000 combined. The cost of the table is three times the cost of the bench. What is the cost of the be

attashe74 [19]

1,000= 3x+x. 1,000=4x. 250=x. 1,000= 3(250) +250. 1,000=750+250. The bench costs $250.

5 0

3 years ago

The factors of the number 56 are 1, 2, 4, 7, 8, 14, 28, and 56. Choose the factor pairs of the number 56.

natima [27]

Answer:

b) 7×8

c) 4×14

d) 2×28

Step-by-step explanation:

A factor pair of a number is a pair of numbers that, when multiplied will result in the given number.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.

The factor pairs are:

1 X 56
2 X 28
4 X 14
7 X 8

Out of the options, only Option A is not a factor pair.

8 0

3 years ago

Express f(x) =3\x²- 1 in partial fraction​

Express f(x) =3\x²- 1 in partial fraction