2) The arithmetic mean of the two numbers : $$ 3 x-7,5 x+3 $$ is $$ \cdots \cdots $$ $$ \begin{array}{llll} ext { (a) } 4 x-5 & ext { (b) } 4 x-2 & ext { (c) } 4 x+2 & ext { (d) } 8 x-4\end{array} $$

Question

2) The arithmetic mean of the two numbers : $$ 3 x-7,5 x+3 $$ is $$ \cdots \cdots $$ $$ \begin{array}{llll}	ext { (a) } 4 x-5 & 	ext { (b) } 4 x-2 & 	ext { (c) } 4 x+2 & 	ext { (d) } 8 x-4\end{array} $$

UpStudy AI · Accepted Answer

We are given the two numbers $$ 3x - 7 $$ and $$ 5x + 3 $$. Their arithmetic mean is calculated as follows:

$$
\text{Mean} = \frac{(3x - 7) + (5x + 3)}{2}
$$

First, combine like terms in the numerator:

$$
(3x - 7) + (5x + 3) = 3x + 5x - 7 + 3 = 8x - 4
$$

Now, divide by 2:

$$
\text{Mean} = \frac{8x - 4}{2} = 4x - 2
$$

Thus, the arithmetic mean is $$ 4x - 2 $$, which corresponds to option (b).
The arithmetic mean is $$ 4x - 2 $$, so the correct answer is (b).

The arithmetic mean of the two numbers : is

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions