Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2image centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.

The input to the function is x and the output is y. write the function such that x can be a vector (use element-by-element operations). a) use the function to calculate y(-1.5) and y(5). b) use the function to make a plot of the function y(x) for -2 ≤ x ≤ 6.

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?

Match each equation to the ordered pair that represents one of its solutions. 3x + 2y = 6 -5x + y = -10 x ? 4y = 8 -6x ? 5y = 30 ordered pair equation (0, -6) arrowboth (0, 3) arrowboth (4, -1) arrowboth (1, -5) arrowboth reset next unit 2 - pretest