Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 − 9x)4 giving each term in its simplest form.
f(x) = (1 + kx)(2 − 9x)4, where k is a constant
The expansion, in ascending powers of x, of f(x) up to and including the term in x2 is
where A and B are constants. (b) Write down the value of A.
(c) Find the value of k.
(d) Hence find the value of B.

Which statements are true? see picture

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

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?