Jason’s business computers need servicing. The expression 81x + 108 represents a contractor’s total charges in dollars for fixing the problem. The expression
103x + 64 represents an electronic store’s total charges in dollars for the same
work. In both expressions, x is the number of hours it took to complete the job.

Acircular hot tub located near the middle of a rectangular patio has a diameter of 48 inches. the patio measures 11 feet by 6 feet. what is the area of the patio that is not covered by the hot tub?

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.