# Help!! Which of the following uses the reciprocal property to rewrite 12/x-3 = 20/x+3? A:12/x+3 = 20/x-3 B:x-3/20 = 12/x+3 C:x-3/12

###### Question:

A:12/x+3 = 20/x-3

B:x-3/20 = 12/x+3

C:x-3/12 = x+3/20

D:x-3/12 = 20/x+3

## Answers

The reciprocal property is:

[tex]\frac{x - 3}{12} = \frac{x + 3}{20}[/tex]

Solution:

Given that,

[tex]\frac{12}{x - 3} = \frac{20}{x + 3}[/tex]

The reciprocal property is given as:

The reciprocal of a fraction is the numerator and denominator switched

[tex]\frac{a}{b} = \frac{c}{d}\\\\Then\\\\\frac{b}{a} = \frac{d}{c}[/tex]

Therefore,

[tex]\frac{12}{x - 3} = \frac{20}{x + 3}[/tex]

By reciprocal property,

Switch the numerator and denominator of right side fraction as well as left side fraction

The we get,

[tex]\frac{x - 3}{12} = \frac{x + 3}{20}[/tex]

Thus option C is correct

3/12

Step-by-step explanation:the Reciprocal of 12/3 is 3/12 because 12/3×3/12=1

7/38

Step-by-step explanation:

You can turn 5 3/7 into an improper fraction by multiplying 5 by 7 and then adding it to the numerator to get 38/7. Then, using our knowledge that the reciprocal is the opposite of the fraction, we can flip the fraction 38/7, to get 7/38!

The correct option is D.

Explanation:

The reciprocal function is in the form of rational function and negative exponent form.

The parent equation of reciprocal function is,

[tex]f(x)=\frac{1}{x}[/tex]

It can be written as,

[tex]f(x)=x^{-1}[/tex]

The domain of this function is all real numbers except 0 and range is all real number except zero.

Therefore, the correct option is D.

The function in option A and B are polynomial functions.

The function in option C is a modulus function.

Therefore, the options A,B and C are incorrect.

C. F(x)=1/x

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. It is also called the multiplicative inverse. Hence, the reciprocal function is ...

F(x)=1/x . . . . . . matches choice C

1/(x+2)(x−4) is correct.

Step-by-step explanation:

answer:

x=64/3

step-by-step explanation:

x/12=32/18

x=32/18×12

x=64/3

Reciprocal altruism is one of the altruism behaviors in which an individual organism helps in increasing the fitness of another organism by reducing the fitness of itself temporarily in expectation of the same behavior from another organism in the future later.

It takes place in the same set of organism partners which is a continuous interaction ion in stable groups of organisms.

Thus, the correct answer would be - an ongoing interaction in the same set of partners.

The reciprocal of 12/3 is 3/12

Remember that the reciprocal of a number is simply the numerator and the denominator switched. So it would be the same number but in different places. Hope this helps

AN PLZZZ MARK BRAINLIEST IF U CAN

We are given quadratic x^2-2x-8.

Let us factor it by product sum rule.

According to product sum rule, we need to find the factors of -8 that add upto -2.

If we write all factors of 8, we get 8,4,2 and 1 factores.

So, we could choose -4 and +2.

Because -4+2 = -2 (sum) and -4*2=-8 (product)

x^2-2x-8

Splitting middle term into two terms -4x+2x

x^2-4x+2x−8

Factoring out gcf from each group.

x(x-4) +2(x- 4)

(x + 2)(x - 4)

So, we got factored form of the given euadratic (x + 2)(x - 4).

Reciprocal of it would be [tex]\frac{1}{(x+2)(x-4)}[/tex].