Answer:
(-14,0)
Step-by-step explanation:
-94 24
-74 18
-54 12
-34 6
-14 0
1. In an hour, Lance can do 1/5 of the job and Kim can do 1/4 of the same job. Letting x be the number of hours it will take them to do the job together.
(1/5 + 1/4) x = 1
The value of x is 20/9 or approximately 2.22 hours.
2. Same as the concept above, the equation that would best describe the situation is,
(1/x + 1/2x)(5) = 1
The value of x is 7.5 hours. Since this value is the number of hours Dominique can do the job alone, Houston's time will be 15 hours.
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>
The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:

The volume is given as 64 cubic inches.
So, we have:

Make y the subject

The surface area of the box is calculated as:

The cost is:
--- the base is twice as expensive as the sides
Substitute 


Differentiate

Set to 0

Multiply through by x^2

Divide through by 4

Add 64 to both sides

Take the cube roots of both sides

Recall that:

So, we have:


Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
Read more about volume at:
brainly.com/question/1972490