Answer:
The values of x for which the model is 0 ≤ x ≤ 3
Step-by-step explanation:
The given function for the volume of the shipping box is given as follows;
V = 2·x³ - 19·x² + 39·x
The function will make sense when V ≥ 0, which is given as follows
When V = 0, x = 0
Which gives;
0 = 2·x³ - 19·x² + 39·x
0 = 2·x² - 19·x + 39
0 = x² - 9.5·x + 19.5
From an hint obtained by plotting the function, we have;
0 = (x - 3)·(x - 6.5)
We check for the local maximum as follows;
dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0
6·x² - 38·x + 39 = 0
x² - 19/3·x + 6.5 = 0
x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2
∴ x = 1.288, or 5.045
At x = 1.288, we have;
V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99
V ≈ 22.99 in.³
When x = 5.045, we have;
V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023
Therefore;
V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5
The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.
Answer:
x = 13
Step-by-step explanation:
- 7 1/5 < - 2.3 < 0 < π < 23/7 is ascending order of these numbers.
What do descending order and ascending order mean?
- Climbing down the stairs of numbers starting with their highest value is another way to think of descending.
- The slide is descended while moving down it.
- Ascending order, in which the numbers are organized from lower value to higher value, is the reverse of falling order.
The values are 0 , -2.3 , π , 23/7 , -71/5
first simplify all the values 0 , - 2.3 , 3.14 , 3.28 , -7.2
now arrange all value in Ascending order
- 7.2 < -2.3 < 0 < 3.14 < 3.28
- 7 1/5 < - 2.3 < 0 < π < 23/7
Learn more about Ascending order
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Answer:
Your signature, and a nice 4-word goodbye
Step-by-step explanation:
Your signature so they know it was YOU who wrote it and a nice 4-word goodbye to show the other person that you care.
Answer:
Step-by-step explanation:
