What is the correct answer to number 7? Please explain and break it down step by step.

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer:

The answer to your question is (x + 3)

Step-by-step explanation:

$\frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}$

Factor the expression

$\frac{5(x + 1)}{x} \frac{x^{2}(x + 3)}{(x - 1)(x + 1)} \frac{x - 1}{5x}$

Simplify

Cancel 5 because is in both numerator and denominator

Cancel (x + 1) because is in both numerator and denominator

Cancel (x - 1) because is in both numerator and denominator

Cancel x² because is in both numerator and denominator

After simplifying, the result is (x + 3)

You might be interested in

The product of 10 and 2 more than a number is 240. Find the number.

Maurinko [17]

Answer:

The number is 220

Step-by-step explanation:

Let n represent the number

10(2) + n = 240

20 + n = 240

240 - 20 = 220

n = 220

8 0

3 years ago

Help me solve for U please help

Maurinko [17]

U + 4/5 = 2 and 1/3

Subtract 4/5 from each side of the equation:

U = (2 and 1/3) - (4/5)

Now it's just problem in plain old adding and subtracting fractions,
just like the ones you've done many times before.

First let's change (2 and 1/3) to a fraction: 2 and 1/3 = 7/3

So you have to find the value of (7/3) - (4/5) .

In order to add or subtract fractions, they need to have a common denominator.
The least common multiple of 3 and 5 is 15, so that's a good choice.

7/3 = 35/15
4/5 = 12/15

Now the problem is: (35/15) - (12/15).

That's 23/15 . . . . . the same thing as <u>1 and 8/15</u> .

That's the value of ' U '. What an ugly number !

8 0

3 years ago

Read 2 more answers

150 adults complete a survey.

NARA [144]

Ratio of men:women in the simplest form is 7:8

Step-by-step explanation: