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Vadim26 [7]
2 years ago
10

Please help me please !!

Mathematics
1 answer:
Artist 52 [7]2 years ago
5 0
The range is: 35-60
The IQR is: 11
This value is the first 25%

IQR= interquartile range

Hope this helps ;)
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Is anyone able to see if there is a counterexample for the following argument in logic?
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if A=B

B=/=C

No A=C

All C are not A

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The quotient of 5 plus a number down and negative 2 is 14
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Answer:

quotient means division

(5 + d) / -2 = 14

Step-by-step explanation:

quotient means division

(5 + d) / -2 = 14

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3 years ago
The quotient of a number and 6decreased by 10 is equal to 2??
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The number equals -48
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Which of te following statemnet are true
valkas [14]

Answer:

B

Step-by-step explanation:

Clearly BD is shorter than AE so that is false.

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3 years ago
Read 2 more answers
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
2 years ago
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