A firm receives an order for a square-base rectangular storage container with a lid. The container has a volume of 20 cubic meters. Material for the base costs 20 dollar per square meter. Material for the sides and the lid costs 10 dollars per square meter. What is the lowest cost of materials for making such a container? What are the dimensions of the container that require the lowest cost for materials?

An appliance store sells lamps at $95.00 for two. a department store sells similar lamps at 5 for $250.00. which store sells at a better rate

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Yis the midpoint of xz. for each pair of points given, find the coordinates of the third point. 3. x( 5, 5), z(-1,5) 4. z( 2, 8), y(-2, 2) 7 points each xc find the indicated values. 5. b is between a and c. ab = 2x + 1, bc = 3x – 4, and ac = 62. find the value of 'x', and determine if b is a bisector. 7 points each x = bisector: yes or no? 6. m is between l and n. lm = 7x-1, mn = 2x + 4, and ln = 12. find the value of 'x' an determine if m is a bisector. x = bisector: yes or no?