we know that
The volume of the box is equal to
V=area of the base*height
solve for the height
height=Volume/(area of the base)
![V=2x^{3}+3x^{2}- 11x- 6\ ft^{3} \\ Area\ of\ the\ base=x^{2}+x-6\ ft^{2}](https://tex.z-dn.net/?f=V%3D2x%5E%7B3%7D%2B3x%5E%7B2%7D-%2011x-%206%5C%20ft%5E%7B3%7D%20%5C%5C%20Area%5C%20of%5C%20the%5C%20base%3Dx%5E%7B2%7D%2Bx-6%5C%20ft%5E%7B2%7D)
using a graph tool-----> find the roots
see the attached figures
so
![2x^{3}+3x^{2}- 11x- 6=2*(x+3)*(x+0.5)*(x-2)](https://tex.z-dn.net/?f=2x%5E%7B3%7D%2B3x%5E%7B2%7D-%2011x-%206%3D2%2A%28x%2B3%29%2A%28x%2B0.5%29%2A%28x-2%29)
![x^{2}+x-6=(x+3)*(x-2)](https://tex.z-dn.net/?f=x%5E%7B2%7D%2Bx-6%3D%28x%2B3%29%2A%28x-2%29)
substitute
height=Volume/(area of the base)
![height= \frac{2*(x+3)*(x+0.5)*(x-2)}{(x+3)*(x-2)} = 2*(x+0.5)](https://tex.z-dn.net/?f=height%3D%20%5Cfrac%7B2%2A%28x%2B3%29%2A%28x%2B0.5%29%2A%28x-2%29%7D%7B%28x%2B3%29%2A%28x-2%29%7D%20%3D%202%2A%28x%2B0.5%29)
![height=2x+1](https://tex.z-dn.net/?f=height%3D2x%2B1)
therefore
<u>the answer is</u>
![height=2x+1](https://tex.z-dn.net/?f=height%3D2x%2B1)
What’s the actual question
Answer:
Mean- the average of data, meaning you add up all the numbers, and then divide the sum of the numbers by how many numbers there are. For example:
2, 2, 3, 4, 6, 6, 9.
7 numbers total.
2 + 2 + 3 + 4 + 6 + 6 + 9 = 32
32 ÷ 7 = 4.57
The mean would be 4.57.
Median- the middle point of the numbers. You cross off each of the numbers until you have one last number standing. If you have an even number of numbers, you find the middle of the last two numbers you crossed off. For example:
2, 2, 3, 4, 6, 6, 9
2, 3, 4, 6, 6
3, 4, 6
4
4 would be the median.
Mode- the largest number on the data.
Range- subtract the mode (largest number) from the smallest number to get range. For example:
2, 2, 3, 4, 6, 6, 9
9 - 2 = 7
7 would be the range.
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
First multiply 8 by 4 to get 32. Now there is a small triangle in the bottom. Multiply 4 by 2 to get 8. Then divide 8 by 2 to get 4, the area of the triangle. Now lastly 32-4 to get 28 square units, the area.
Answer:
8%
Step-by-step explanation:
Motivation to learn represents a 40% of the learning acquired and its rated from 1 to 10. An increase from 7 to 9 represents an increase (of motivation to learn of 20%) But since this quality represent 40% of the total, the real increase in learning is 0.2*0.4=0.08 or 8%.