What is the sum of the rational expressions below? x+3/x-2 + 3x-8/x-2

Mathematics

1 answer:

Mamont248 [21]4 years ago

6 0

Answer: $\bold{\dfrac{4x-5}{x-2}}$

<u>Step-by-step explanation:</u>

Since the expressions have the same denominator, we simply need to add the numerators.

$\dfrac{x+3}{x-2}+\dfrac{3x-8}{x-2}\quad =\quad \dfrac{x+3+3x-8}{x-2}\quad = \quad \large\boxed{\dfrac{4x-5}{x-2}}$

You might be interested in

Which of the following is a solution of y - x > -3? (6, 2) (2, 6) (2, -1)?

SVEN [57.7K]

Hello :
(2, 6) is a solution of y - x > -3 because : 6-2> -3 ..... 4 > -3

7 0

3 years ago

Pleaseee i need help!! and the working!

zaharov [31]

Hey! $1.96 x £25,000 = $49,000
Then to change it back you:
$49,000 divided by 1.75 = £28,000

6 0

4 years ago

19) Liam has a free throw percentage of 0.64. If he takes 6 free throw shots in a game, what is the probability that he will mak

3241004551 [841]

B)0.0687 is the correct answer.

8 0

3 years ago

The radius and circumference of several objects were measured.

Over [174]

A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.

<h3>What is a positive correlation?</h3>

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.

Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.

In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.

Read more on positive correlation here: brainly.com/question/10644261

#SPJ1