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Chapter 0: Problem 15

Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{2 x+3 y}{x+1}, \text { for } x=-2 \text { and } y=4$$

Short Answer

Expert verified
-8

Step by step solution

01

Substitute Given Values

To start, replace \(x\) with \(-2\) and \(y\) with \(4\) in the given expression. You will have \(\frac{2(-2)+3(4)}{-2+1}\).
02

Perform Arithmetic Operations in the Numerator

Next, perform multiplication and addition in the numerator: \(2(-2) + 3(4)\) gives \(-4 + 12\), which is \(8\). Therefore, the revised expression becomes \(\frac{8}{-2+1}\).
03

Perform Arithmetic Operations in the Denominator

Perform addition in the denominator: \(-2+1\) gives \(-1\). The revised expression now becomes \(\frac{8}{-1}\).
04

Final Calculation

Finally, we perform the division, giving us a final result of \(-8\).

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Most popular questions from this chapter

Will help you prepare for the material covered in the next section. A. Find \(\sqrt{16} \cdot \sqrt{4}\) B. Find \(\sqrt{16 \cdot 4}\) C. Based on your answers to parts (a) and (b), what can you conclude?

Using an example, explain how to factor out the greatest common factor of a polynomial.

What is a perfect square trinomial and how is it factored?

In parts (a) and (b), complete each statement. $$\text { a. } b^{4} \cdot b^{3}=(b \cdot b \cdot b \cdot b)(b \cdot b \cdot b)=b^{?}$$ $$\text { b. } b^{5} \cdot b^{5}=(b \cdot b \cdot b \cdot b \cdot b)(b \cdot b \cdot b \cdot b \cdot b)=b^{7}$$ c. Generalizing from parts (a) and (b), what should be done with the exponents when multiplying exponential expressions with the same base?

Factor Completely. $$x^{4}-10 x^{2} y^{2}+9 y^{4}$$
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