Ask question

Ask question

All categories

2 years ago

12

Simplify EXPLAIN your answer.

1 answer:

krek1111 [17]2 years ago

8 0

$\frac{x-5}{ x^{3} +27} + \frac{2}{ x^{2} -9} = \frac{x-5}{ x^{3}+27 } + \frac{2}{(x+3)(x-3)} \\ \\ long-division.. \\ (x^{3} +27)/(x+3) = x^{2} -3x+9 \\ \\ \frac{x-5}{(x+3)( x^{2} -3x+9)} + \frac{2}{(x+3)(x-3)} \\ \\ \frac{x-5}{(x+3)( x^{2} -3x+9)}* \frac{x-3}{x-3} + \frac{2}{(x+3)(x-3)} * \frac{x^{2} -3x+9}{ x^{2} -3x+9} = \frac{(x-5)(x-3)+2( x^{2} -3x+9)}{(x+3)(x-3)( x^{2} -3x+9)}$

$\frac{(x-5)(x-3)+2( x^{2} -3x+9)}{(x+3)(x-3)( x^{2} -3x+9)} = \frac{ x^{2} -8x+15+2x^{2} -6x+18}{(x+3)(x-3)( x^{2} -3x+9)} \\ \\ \frac{ 3x^{2} -14x+33}{(x+3)(x-3)( x^{2} -3x+9)}$

You might be interested in

Write an equation of the line in point-slope form that passes through the given points. (-2,4) and (6,7)

Contact [7]

Answer:

y=3/8+19/4

Step-by-step explanation:

3 0

2 years ago

A factory worker can make 14 products in 45 minutes.what is the workers unit rate

jok3333 [9.3K]

3.2 products a minute.

3 0

3 years ago

Read 2 more answers

* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both

Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective $n^{th}$ terms as following:

Sequence A. $3n - 2$

Sequence B. $10 - 2n$

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the $n^{th}$ terms of the respective sequences as equal and let us verify that.

$3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}$

When we talk about $n^{th}$ terms, $n$ here is a whole number not a fractional number.

But as per the statement as stated by Sally $n$ is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0

2 years ago

389,422 change all the digits

alexira [117]

389,422 rounded is 400,000.

6 0

3 years ago

A 64-foot tall monument casts a shadow 16 feet long. If Kyle is stsnding nearby and is 6'3 tall, find the length of his shadow.

Helen [10]

Answer: Length of his shadow is 18 feet.

Step-by-step explanation:

Since we have given that

Length of tall monument = 64 foot

Length of shadow = 16 feet

Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches

So, we need to find the length of its shadow.

So, according to question, we get that

$\dfrac{64\times 12}{16\times 12}=\dfrac{72}{x}\\\\4=\dfrac{72}{x}\\\\4x=72\\\\x=\dfrac{72}{4}\\\\x=18\ feet$

Hence, length of his shadow is 18 feet.

3 0

3 years ago