2. The diagram below shows a manufacturer cuts squares from the corners of a 16 cm by 6 cm piece of sheet metal and folds the metal at the corners to make an open top box.
a) Write the volume of the box as a function of x.
b) State the domain of the volume function.
c) Find the value of the x that maximizes the function.
d) Find the maximum volume the box can hold. Round to the nearest tenth.

Lassify the function as linear or quadratic and identify the quadratic, linear, and constant terms. f(x) = (3x + 2)(−6x − 3) linear function; linear term: −21x; constant term: −6 linear function; linear term: −18x2; constant term: −6 quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6 quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Hurry if the population of of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill what will the ant population be in 20 days

Point r divides in the ratio 1 : 5. if the coordinates of e and f are (4, 8) and (11, 4), respectively, what are the coordinates of r to two decimal places?