Given the numbers x = a and y = –b, which statement is true? a. –|x| = a and –|y| = b b. |–x| = –a and |–y| = b c. |x| = –a and –|y| = –b d. |x| = a and |y| = b

D) |x| = a and |y| = b

Step-by-step explanation:

Given the numbers x = a and y = –b

Absolute function always gives the output as a positive number

Absolute function of |-x|= x

For example |5|= 5  and |-5| = 5

Given x=a

|x| = |a| = a, so |x| = a

Given y=-b

|y| = |-b| = b , so |y| = b

Hence, |x| = a and |y| = b

correct answers below:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.