Question

Given the replacement values x=(7)/(3) and y=(17)/(14) evaluate (a) xy and (b) x-:y.

Answer 1

To evaluate (a) xy, multiply x and y. To evaluate (b) x-:y, divide x by y.

Step-by-step explanation:

To evaluate (a) xy, we simply multiply the values of x and y together. Given that x = 7/3 and y = 17/14, we have:

(7/3) * (17/14) = (7 * 17) / (3 * 14) = 119/42 = 2.83 (rounded to two decimal places)

To evaluate (b) x-:y, we divide the value of x by the value of y. Using the given values, we have:

(7/3) / (17/14) = (7 * 14) / (3 * 17) = 98/51 = 1.92 (rounded to two decimal places)

Answer 2

a) The evaluation of xy gives 119/42 or 2.83.

b) The evaluation of x - y gives 47/42 or 1.12.

The process of evaluation an expression or equation is to find the value of the expression or equation when the variable is replaced by a given replacement value.

Evaluating an expression involves substituting the given number for the variable in the expression and then simplifying the expression based on the order of mathematical operations, PEDMAS.

The given replacement values:

x = (7)/(3)

y = (17)/(14)

a) To evaluate xy, we simply multiply the two values: x = 7/3 and y = 17/14:

xy = (7/3) * (17/14)

= (717)/(314)

= 119/42

Thus, we can conclude that xy = 119/42 or 2.83.

(b) To evaluate x-y, we simply subtract the two values: x = 7/3 and y = 17/14:

x-y = (7/3) - (17/14)

= (98/42) - (51/42)

= (98-51)/42

= 47/42

Thus, we can conclude that x-y = 47/42 or 1.12.