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Chapter 6: Problem 11

Evaluate the algebraic expression for the given value or values of the variables. \(-x^{2}-6 ; \quad x=-2\)

Short Answer

Expert verified
The value of the expression \(-x^{2}-6\) for \(x=-2\) is \(-10\).

Step by step solution

01

Understanding the problem

To solve this problem, we need to substitute the value of \(x\) into the algebraic expression \(-x^{2}-6\).
02

Substituting the value for \(x\) into the expression

We replace \(x\) with \(-2\) in the algebraic expression. This gives us \(-(-2)^{2}-6\).
03

Simplifying the expression

We first compute the square of \(-2\), which is \(4\). This yields \(-4-6\). Next, we subtract \(6\) from \(-4\) to get \(-10\).

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Most popular questions from this chapter

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Determine whether each statement makes sense or does not make sense, and explain your reasoning. The fastest way for me to solve \(x^{2}-x-2=0\) is to use the quadratic formula.
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