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3 years ago

F(x)=7x-17/x^2+6x+9 solve using fractional decomposition

Mathematics

1 answer:

Kazeer [188]3 years ago

8 0

Answer:

f(x) = 7/(x+3) -38/(x+3)²

Step-by-step explanation:

The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.

You can start with the form ...

... f(x) = B/(x+3) + A/(x+3)²

and write this sum as ...

... f(x) = (Bx +3B +A)/(x+3)²

Equating coefficients gives ...

... Bx = 7x . . . . . B = 7

... 3B +A = -17 . . . . the constant term

... 21 +A = -17 . . . . filling in the value of B

... A = -38 . . . . . . . subtract 21 to find A

Now, we know ...

... f(x) = 7/(x+3) -38/(x+3)²

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Find the missing side round to the nearest 10th please help

katrin [286]

Step-by-step explanation:

Number 3

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cos35° = 20/x

x = 20/cos35°

x = 20/0.8192

x = 24.4155

x ≈ 24.4 to the nearest tenth

Option C

Number 6

tan∅ = opp/adj

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x = 20/tan37°

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3 years ago

If 3×1=34 2×3=65 6×1=67 5×4=209 then 6×3=

OLga [1]

189.

3*1=34 --> split this into two parts. 3*1 is 3 and 3+1 is 4 so put them together and you get 34.

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4 years ago

Read 2 more answers

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

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

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

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3 years ago

Which equation is shown in the graph?<br><br> Best answer gets brainliest!

djverab [1.8K]

Answer:

C) y=x^2+x-6

Step-by-step explanation:

Looking at the first picture, the equation is way too high, thus A is incorrect

Looking at the second picture, the equation is also too high, thus B is incorrect

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Hope this helps!

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2 years ago

Read 2 more answers

Y = x + 7 and y = -x + 2

larisa [96]

Answer:

y = x + 7

y = (-x) + 2

X + 7 = (-x) + 2

X + X = 2 - 7

2x = (-5)

Putting the value of X in equation

Y = (-5/2) + 7

Y = (-5)/2 + 7/1

Equalising the denominator by Taking LCM

Y = (-5)/2 +14/2

Y = ( -5 +14)/2

7 0

3 years ago