You are given a 14 in by 8 in rectangular sheet of metal from which you are to construct a box. you are to cut a length, x, from each corner of the sheet of metal so that you can fold up the sides creating a box. find the value of x that will yield the maximum column of the box.

The base of a triangle is 8 1 3 meters and the height of the triangle is the fourth root of 16 meters meters. what is the area of the triangle?

Samantha is growing a garden in her back yard. she spend $90 setting up the garden bed and buying the proper garden supplies. in addition, each seed she plants cost $0.25. a. write the function f(x) that represents samantha's total cost on her garden. b. explain what x represents. c. explain what f(x) represents. d. if samantha plants 55 seeds, how much did she spend in total?

Find the maximum value of p= 4x + 5y subject to the following constraints :