Evaluate: [tex] \frac{-5-(x+y)}{2} [/tex], where [tex]x=3[/tex] and [tex]y=6[/tex]
A. -5
B. -11
C. -7
D. -13
Answer (2)
Substitute x = 3 and y = 6 into the expression.
Simplify the expression inside the parentheses: 3 + 6 = 9 .
Simplify the numerator: − 5 − 9 = − 14 .
Divide to get the final answer: 2 − 14 = − 7 . The final answer is − 7 .
Explanation
Understanding the problem We are asked to evaluate the expression 2 − 5 − ( x + y ) given that x = 3 and y = 6 .
Substituting the values First, we substitute the given values of x and y into the expression: 2 − 5 − ( 3 + 6 )
Simplifying the parentheses Next, we simplify the expression inside the parentheses: 3 + 6 = 9 So the expression becomes: 2 − 5 − 9
Simplifying the numerator Now, we simplify the numerator: − 5 − 9 = − 14 So the expression becomes: 2 − 14
Final calculation Finally, we divide -14 by 2: 2 − 14 = − 7 Therefore, the value of the expression is -7.
Examples
In real life, you might use this type of calculation when determining an average change or rate. For example, if you have an initial value of -5, and a combined change of 3 and 6, you can calculate the average change by using the formula. This could apply to temperature changes, financial calculations, or any scenario where you need to find an average rate of change.
After substituting x = 3 and y = 6 into the expression 2 − 5 − ( x + y ) and simplifying, we find that the answer is − 7 . Therefore, the correct choice is C. -7 .
;
