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3 years ago

9

Convert 65.4 cm into inches

2 answers:

navik [9.2K]3 years ago

6 0

25.74803 would be your answer

Murljashka [212]3 years ago

5 0

It's an estimated of 25 inches, because there are about 3 cm in an inch.

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A proper noun is a specific name for a particular person, place, or thing.

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3 years ago

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kari74 [83]

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3 years ago

What is the perimeter of Building 1?

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2 years ago

The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where

svlad2 [7]

Answer:

$f(x) = -1$

$g(x) =6$

$\frac{-1}{2x + 3} + \frac{6}{3x + 7}$

Step-by-step explanation:

The question is unreadable, however the real polynomial is:

The polynomial fraction is:

$P = \frac{9x + 11}{6x^2 + 23x + 21}$

And the decomposition is:

$\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

The solution is as follows:

$P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

Substitute the expression for P

$\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

Expand the numerator of the polynomial

$\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}$

Take LCM

$\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}$

Cancel out both denominators

$9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)$

Represent f(x) as A and g(x) as B

$9x + 11} = A*(3x + 7) + B*(2x + 3)$

Open bracket

$9x + 11} = 3Ax + 7A + 2Bx + 3B$

$9x + 11} = 3Ax + 2Bx+ 7A + 3B$

$9x + 11} = (3A + 2B)x+ 7A + 3B$

By comparison:

$3A + 2B = 9$ ---- (1)

$7A + 3B =11$ ---- (2)

Make B the subject in (1)

$B = \frac{9 - 3A}{2}$

Substitute $B = \frac{9 - 3A}{2}$ in (2)

$7A + 3(\frac{9 - 3A}{2}) = 11$

Multiply through by 2

$2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2$

$14A + 3(9 - 3A) = 22$

$14A + 27 - 9A = 22$

Collect Like Terms

$14A - 9A = 22-27$

$5A = -5$

$A = \frac{-5}{5}$

$A = -1$

Recall that:

$B = \frac{9 - 3A}{2}$

$B = \frac{9 - 3 * -1}{2}$

$B = \frac{9 + 3}{2}$

$B = \frac{12}{2}$

$B = 6$

A = -1 and B = 6

$3A + 2B = 9$ ---- (1)

$7A + 3B =11$ ---- (2)

So:

$f(x) = A$

$f(x) = -1$

$g(x) =B$

$g(x) =6$

And the decomposition is:

$\frac{-1}{2x + 3} + \frac{6}{3x + 7}$

6 0

3 years ago

The only animals on farmer Justin's farm are cows and chickens. If justin counts a total of 45 heads and a total of 126 feet. Fi

IRINA_888 [86]

Answer:

The number of cows on Justin's farm is <u>18</u>.

Step-by-step explanation:

Given:

The only animals on farmer Justin's farm are cows and chickens.

Justin counts a total of 45 heads and a total of 126 feet.

Now, to find the number of cows on Justin's farm.

Let the number of cows be $x.$

And the number of chickens be $y.$

So, the total number of heads are:

$x+y=45$

$y=45-x$ ......(1)

As, the feet of chicken are 2 and the cows are 4.

Thus, total number of feet are:

$4x+2y=126$

Substituting the value of $y$ from equation (1) we get:

$4x+2(45-x)=126$

$4x+90-2x=126$

$90+2x=126$

<em>Subtracting both sides by 90 we get:</em>

$2x=36$

<em>Dividing both sides by 2 we get:</em>

$x=18.$

<em>The number of cows = 18.</em>

Therefore, the number of cows on Justin's farm is 18.

3 0

3 years ago

Read 2 more answers