Let lim f(x) = 6 and lim g(x) = 8. Use the limit rules to find the following limit. X-7 X+7 f(x) + g(x) lim x+7 29(x) f(x) + g(x) = N lim x+7 2g() (Simplify your answer. Type an integer or a fraction.)

Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.

Solve the problem. a student earned grades of c, a, b, and a in four different courses. those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. the grading system assigns quality points to letter grades as follows: a = 4, b = 3, c = 2, d = 1, and f = 0. compute the grade point average (gpa) and round the result to two decimal places. 3.40 3.50 8.75 2.18

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?