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Chapter 6: Problem 12

Evaluate the algebraic expression for the given value or values of the variables. \(-x^{2}-11 ; \quad x=-3\)

Short Answer

Expert verified
The evaluated result of the expression for \( x = -3 \) is -20.

Step by step solution

01

Identify the expression and the variable

The given algebraic expression is \( -x^{2} - 11 \), and the variable \( x \) is given the value -3.
02

Substitute the variable

Substitute \( x = -3 \) into the expression. This leads to \( -(-3)^{2} - 11 \).
03

Perform the calculations

Now calculate the expression. Start with the exponent before multiplication according to the order of operations (BIDMAS/BODMAS). This results in \( -9 - 11 \).
04

Final calculation

Continuing the calculation, \( -9 - 11 \) results in -20

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