Given the augmented matrix below, solve the associated system of equations. For your non-Basic (free) variables use the notation from this list x1 , x2, x3, x4, x5, and x6 as needed. [1 2 -7 6 9 3 0 0 0 1 1 1 3 0 0 0 0 1 -8 | -2 -9 -9]

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

7. if the value of x varies directly with the value of y, and x = 3 when y = 21. what is the valu y, and x = 3 when y = 21. what is the value of x when y = 105?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.