All categories

4 years ago

Which of the following is the product of the rational expressions shown

Mathematics

2 answers:

Crazy boy [7]4 years ago

8 0

For this case we must find the product of the following expressions:

\frac {3x} {x + 1} * \frac {x} {x-7}

So:

\frac {3x ^ 2} {x ^ 2-7x + x-7} =\\\frac {3x ^ 2} {x ^ 2-6x-7}

So, we have to:

\frac {3x} {x + 1} * \frac {x} {x-7} = \frac {3x ^ 2} {x ^ 2-6x-7}

Answer:

\frac {3x ^ 2} {x ^ 2-6x-7}

Step-by-step explanation:

scoundrel [369]4 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

4 years ago

Today the temperature is 0 degrees Fahrenheit. The temperature rose

VladimirAG [237]

Answer: -11 degrees Fahrenheit

Step-by-step explanation:

3 0

3 years ago

Divide 6 divided by 3/5 <br><br><br> Answer only if u know please:)

meriva

Answer:

The answer is 10 or 10/1

3 0

3 years ago

Which are the correct classifications for the polygon?

katrin [286]

The correct classification for the polygon would be a concave hexagon.

6 0

3 years ago

How do you change 14/20 into a decimal

lyudmila [28]

The answer is 0.7 Have a nice day

4 0

3 years ago

Read 2 more answers