Question

Evaluate the expression when x = 9 and y = -5. 4 + 2|x - y| / (x + 2y)

a) 1
b) 2
c) 3
d) 4

Answer 1

Upon evaluating the expression with x = 9 and y = -5, the result is -32, which is not listed among the provided answer choices, indicating a possible error in the question or answer choices.

Step-by-step explanation:

To evaluate the expression when x = 9 and y = -5, we first substitute the values into the given expression:

4 + 2|9 - (-5)| / (9 + 2(-5))

Since the absolute value of a number is always positive, we simplify |9 - (-5)| to |9 + 5|, which equals 14.

Now the expression is: 4 + (2 × 14) / (9 - 10)

Simplify the numerator: 4 + (2 × 14) = 4 + 28 = 32

Then calculate the denominator: 9 - 10 = -1, so our equation now is:

32 / -1

The result is -32, which is not among the options a), b), c), d). Therefore, there's either a typo in the question or the provided options.