Sure, I'll walk you through the steps to evaluate the expression [tex]\(\left(\frac{m}{n}\right)(x)\)[/tex] for [tex]\(x = -3\)[/tex].
1. Identify the given values:
- [tex]\(m\)[/tex]: A variable that we'll assume has a numerical value.
- [tex]\(n\)[/tex]: A variable that we'll assume has a numerical value.
- [tex]\(x = -3\)[/tex]: This is the specific value given for [tex]\(x\)[/tex].
2. Formulate the expression using the given values:
- The expression we need to evaluate is [tex]\(\left(\frac{m}{n}\right)(x)\)[/tex].
3. Substitute [tex]\(x\)[/tex] with [tex]\(-3\)[/tex]:
- The expression becomes [tex]\(\left(\frac{m}{n}\right)(-3)\)[/tex].
4. Evaluate the fraction [tex]\(\frac{m}{n}\)[/tex] and then multiply by [tex]\(-3\)[/tex]:
- Let's assume we have specific values for [tex]\(m\)[/tex] and [tex]\(n\)[/tex]. For simplicity, let’s assume [tex]\(m = 1\)[/tex] and [tex]\(n = 1\)[/tex].
5. Perform the arithmetic:
- [tex]\(\frac{m}{n} = \frac{1}{1} = 1\)[/tex]
- Now, multiply this result by [tex]\(-3\)[/tex]:
- [tex]\(1 \cdot (-3) = -3\)[/tex]
The result is:
[tex]\[
\left(\frac{m}{n}\right)(-3) = -3.0
\][/tex]
So, when [tex]\(m = 1\)[/tex] and [tex]\(n = 1\)[/tex], the expression [tex]\(\left(\frac{m}{n}\right)(-3)\)[/tex] evaluates to [tex]\(-3.0\)[/tex].
