Question

Trinity takes a square piece of cardboard and cuts 3 in. by 3 in. squares out of each corner. She folds the sides up to make a box without a top.

What equation can Trinity use to determine the volume of the box, where x is the side length of the original piece of cardboard?



Express the equation in standard form.

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A farmer will build a rectangular pen for his sheep. A wall will form one side of the pen. The farmer has 28 m of fencing to form the other three sides.

The farmer plans to build the pen so that it has its maximum possible area.


What will be the dimensions of the farmer’s sheep pen?

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The function y=−16x2+v0x models the height of a football in feet x seconds after a player kicks it. In the equation of the function, v0 is the ball's initial velocity in feet per second. The ball hits the ground 2 seconds after the player kicks it.



What is the value of ​ v0 ​?

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Answer 1

Trinity can use the equation V = (x-6)(x-6)(3) to determine the volume of the box.

Step-by-step explanation:

The equation that Trinity can use to determine the volume of the box is V = (x-6)(x-6)(3). This equation represents the volume of the box, where x is the side length of the original piece of cardboard. By subtracting 6 from each side length of the cardboard (to account for the 3 in. squares cut out from each corner) and multiplying by the height of the box, Trinity can calculate the volume of the box.

Answer 2

Hey, did you get the answers for this?