Question

let x = -5/6 and y 4/3= . select all the expressions that have a positive value. select all that apply: a. x * y b. y/x c. x/y d. x + y e. x - y f. y - x

Answer 1

Step-by-step explanation:

A, ×* y = -10 / 9

B, y / x = -8 / 5

C, x / y = -5 / 8

D, x+ y = 1 / 2

E, x- y = - 13 / 6

F, y- x = 13 / 6

Answer 2

The expressions with a positive value for the given values of
`\(x = -(5)/(6)\) and \(y = (4)/(3)\) are: (c) \(x/y\) and (f) \(y - x\).`

Step-by-step explanation:

Let's evaluate each expression for the given values of (x) and (y):

a.
`\(x \cdot y = \left(-(5)/(6)\right) \cdot (4)/(3) = -(5)/(9)\)`(negative)

b.
`\(y/x = ((4)/(3))/(-(5)/(6)) = -(8)/(5)\)` (negative)

c.
`\(x/y = (-(5)/(6))/((4)/(3)) = -(5)/(8)\)` (negative)

d.
`\(x + y = \left(-(5)/(6)\right) + (4)/(3) = -(1)/(2)\)` (negative)

e.
`\(x - y = \left(-(5)/(6)\right) - (4)/(3) = -(13)/(6)\)` (negative)

f.
`\(y - x = (4)/(3) - \left(-(5)/(6)\right) = (17)/(6)\)` (positive)

Therefore, expressions (c) (x/y) and (f) (y - x) have positive values for the given values of (x) and (y).

In conclusion, understanding the signs of expressions involves careful consideration of both the values of (x) and (y) and the arithmetic operations performed. Expressions (c) (x/y) and (f) (y - x) result in positive values, indicating that they are the expressions with positive outcomes based on the given values of (x) and (y).