Vaidehi wants to cut a 30 meter piece of iron into two pieces. one of the pieces will be used to build an equilateral triangle , and the other to build a rectangle whose length is three times its width. Where should vaidehi cut the iron bar if the combined area of the triangle and the rectangle is to be a minimum?

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12