The product of two numbers is 147 and the sum of the first number plus three times the second number is a minimum. Find the two positive numbers that satisfy the given requirements.

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

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)

What function has a range {yly< 5}? question on picture above^