Question

Given that x=-2 and y=4 , work out the median value of the expressions below. Give your answer as an integer or as a decimal. x^2-3y xy+14 y/x 4y+ x/2 (y-16x)/y

Answer 1

After evaluating the given expressions with x=-2 and y=4, and arranging the resulting values, the median is found to be 6.

Step-by-step explanation:

The student is asking to evaluate a set of expressions given two variables, x and y, and then find the median value of these expressions. The values given are x=-2 and y=4.

The expressions to evaluate are:

x² - 3y

xy + 14

y/x

4y + x/2

(y-16x)/y

Let's evaluate each expression:

(-2)² - 3(4) = 4 - 12 = -8

(-2)(4) + 14 = -8 + 14 = 6

4/(-2) = -2

4(4) + (-2)/2 = 16 - 1 = 15

(4 - 16(-2))/4 = (4 + 32)/4 = 36/4 = 9

The evaluated expressions give us the values: -8, 6, -2, 15, 9. After ordering these values we have: -8, -2, 6, 9, 15. The median value, being the middle number, is 6.