Asked by Mirna Blaji? on May 30, 2024

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Verified

Evaluate 13−12x213 - 12 x ^ { 2 }1312x2 at x=12x = \frac { 1 } { 2 }x=21 .

A) 7
B) 15
C) 10
D) -11
E) -20

Algebraic Expression

An expression consisting of numbers, variables, and operations but no equal signs.

  • Compute the solutions to algebraic expressions by exchanging variables for given numbers.
  • Perform operations on algebraic expressions involving exponents and radicals.
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Verified Answer

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Nayelli AntunezJun 03, 2024
Final Answer :
C
Explanation :
Substitute $x=\frac{1}{2}$ into the expression:
13−12(12)2=13−12⋅14=13−3=1013-12\left(\frac{1}{2}\right)^2=13-12\cdot\frac{1}{4}=13-3=101312(21)2=131241=133=10
Therefore, the answer is choice C.