Suppose that f(x)=x^3 and g(x)= -5x^3+2. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is the graph of f(x) stretched vertically, flipped over the x-axis, and shifted 2 units to the left.
b. the graph of g(x) is the graph of f(x) compressed vertically, flipped over the x-axis, and shifted 2 units up.
c. the graph of g(x) is the graph of f(x) stretched vertically, flipped over the x-axis, and shifted 2 units up.
d. the graph of g(x) is the graph of f(x) compressed vertically, flipped over the x-axis, and shifted 2 units to the left.

The product of two negative rational numbers is always zero sometimes zero never zero

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft. what is the area of the stage? enter your answer in the box. ft²