1)what is the additive inverse of 4x?
a. 4 – x
b. –4x
c. 1/4x
d. x – 4
2)does 4x + (4 -x) = 0?
does 4x + (-4x) = 0?
does 4x + (1/4x) = 0?
does 4x + (x - 4) = 0?
only one of them is true.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Money off coupons have been circulated to 300 households. only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. what fraction of coupons were unused? (ps: write how you got the answer)

Find the maximum value of p= 4x + 5y subject to the following constraints :