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docker41 [41]
3 years ago
15

Which of the following is the quotient of the rational

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

It is A

Step-by-step explanation:

We you divide, you multiply the reporical of the second term for example when I say

2 \div 3

I also mean

2 \times  \frac{1}{3}

So it is the same concept but in more complicated way

\frac{4x}{2x - 1}  \div  \frac{3x + 2}{x + 5}

You flip the second term

\frac{4x}{2x - 1}   \times  \frac{x + 5}{3x + 2}

Then you multiply the numerator and you will get

4x {}^{2}  + 20x

Which is found in A,but you will need to multiply the denominator in case if the choices have the same numerator

The denominator. Equals to

6x ^{2}  + x - 2

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Fudgin [204]

The only error you made is on problem 3. Everything else is correct. Nice work.

-------------------------------------------------------

Here is how to solve problem 3

Plug x = 1 into the equation and solve for y

-3x + y = 1

-3*1 + y = 1 ... replace x with 1

-3 + y = 1

y - 3 = 1

y - 3 + 3 = 1 + 3 .... add 3 to both sides

y = 4

<h3>The answer is 4</h3>

-------------------------------------------------------

Verifying the answer:

Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.

-3x + y = 1

-3*1 + 4 = 1 ..... replace x with 1; replace y with 4

-3 + 4 = 1

1 = 1

The answer is confirmed.

If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.

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Step-by-step explanation:

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