Graph the line using a point and a slope. Write the equation of each line. A line that passes through the point (0, –3) and para
1 answer:
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Answer:
a. length = 0.7211 ft
b. width = 0.7211 ft
c. height = 140.3846 ft
Step-by-step explanation:
This is an optimiztion with restriction problem.
We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.
As the cost for the sides is constant, we know that length and width are equal.
Then, we can express the volume as:
being x: length and z: height
We can express the height in function of the length as:
Then, the cost of the box can be expressed as:
To optimize C, we derive and equal to zero
The height z is then
For this case, the first thing we must do is define variables.
We have then:
x: number of cubic yards of mulch that first truck can transport
y: number of cubic yards of mulch that second truck can transport
Now we write the expression.
The first truck makes 12 trips to a job site:
The second makes 14 trips:
The difference between the first truck and the second truck is:
Answer:
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
We have then:
x: number of cubic yards of mulch that first truck can transport
y: number of cubic yards of mulch that second truck can transport
Now we write the expression.
The first truck makes 12 trips to a job site:
The second makes 14 trips:
The difference between the first truck and the second truck is:
Answer:
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is: