Consider the system of equations given. 3x + 3y + z = −1 2x + 3y + z = −3 2x − 2y + z = −3 (a) write a matrix equation (in the form ax = b) that is equivalent to the system of linear equations. (use the order of the equations to write the matrix.)

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)

The length of a field is 100 yards and its width is 75 yards. if 1 inch represents 25 yards, what would be the dimensions of the field drawn on a sheet of paper?

What is the solution to the equation e3x=12? round your answer to the nearest hundredth