Answer:
-10, -3, -2.001, 1, -7, -2.1, -5, -2.01
Step-by-step explanation:
Answer:
![x^3+x^2-5x+28](https://tex.z-dn.net/?f=x%5E3%2Bx%5E2-5x%2B28)
Step-by-step explanation:
since a=lw, the area is (x^2-3x+7)(x+4)
1. distribute parentheses ![\left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4](https://tex.z-dn.net/?f=%5Cleft%28x%5E2-3x%2B7%5Cright%29%5Cleft%28x%2B4%5Cright%29%3Dx%5E2x%2Bx%5E2%5Ccdot%20%5C%3A4%2B%5Cleft%28-3x%5Cright%29x%2B%5Cleft%28-3x%5Cright%29%5Ccdot%20%5C%3A4%2B7x%2B7%5Ccdot%20%5C%3A4)
2. apply +(-a)=-a rule ![x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4](https://tex.z-dn.net/?f=x%5E2x%2B4x%5E2-3xx-3%5Ccdot%20%5C%3A4x%2B7x%2B7%5Ccdot%20%5C%3A4)
3. Simplify
Steps to simplify:
![x^2x=x^3](https://tex.z-dn.net/?f=x%5E2x%3Dx%5E3)
![3xx=3x^2](https://tex.z-dn.net/?f=3xx%3D3x%5E2)
![3\cdot \:4x=12x](https://tex.z-dn.net/?f=3%5Ccdot%20%5C%3A4x%3D12x)
![7\cdot \:4=28](https://tex.z-dn.net/?f=7%5Ccdot%20%5C%3A4%3D28)
![x^3+4x^2-3x^2-12x+7x+28](https://tex.z-dn.net/?f=x%5E3%2B4x%5E2-3x%5E2-12x%2B7x%2B28)
4. Add like terms ![=x^3+4x^2-3x^2-5x+28](https://tex.z-dn.net/?f=%3Dx%5E3%2B4x%5E2-3x%5E2-5x%2B28)
5. Add like terms ![=x^3+x^2-5x+28](https://tex.z-dn.net/?f=%3Dx%5E3%2Bx%5E2-5x%2B28)
Answer: not a triangle
Step-by-step explanation:
If this were to be a triangle, the shorter sides would be 11 and 4 and the longest side would be 16.
First, we should determine if it is a triangle.
- Sum of shorter sides = 15
- This is less than the longest side, 16, so therefore, it is <u>not a triangle</u>.
Answer:
Element wise subtraction.
Step-by-step explanation:
Matrix Subtraction is done element wise.
Therefore, D =
- ![\[ \left[ {\begin{array}{ccc} 5 & 2 & -4\\ 1 & 12 & 3 \\ 11 & 3 & -2 \end{array} } \right]\]](https://tex.z-dn.net/?f=%5C%5B%20%20%5Cleft%5B%20%7B%5Cbegin%7Barray%7D%7Bccc%7D%20%20%205%20%26%202%20%26%20-4%5C%5C%20%20%201%20%26%2012%20%26%203%20%5C%5C%2011%20%26%203%20%26%20-2%20%20%5Cend%7Barray%7D%20%7D%20%5Cright%5D%5C%5D)
This becomes:
![\[ D = \left[ {\begin{array}{ccc} -2 & -1 & 4 \\ -2 & -10 & 1 \\ -2 & 4 & 0 \end{array} } \right]\]](https://tex.z-dn.net/?f=%5C%5B%20%20%20D%20%3D%20%20%5Cleft%5B%20%7B%5Cbegin%7Barray%7D%7Bccc%7D%20%20%20-2%20%26%20-1%20%26%204%20%5C%5C%20%20%20%20-2%20%26%20-10%20%26%201%20%5C%5C%20%20%20%20-2%20%26%204%20%26%200%20%20%5Cend%7Barray%7D%20%7D%20%5Cright%5D%5C%5D)
Now, ![$ d_{11} = -2 $](https://tex.z-dn.net/?f=%24%20d_%7B11%7D%20%3D%20-2%20%24)
![$ d_{12} = -1 $](https://tex.z-dn.net/?f=%24%20d_%7B12%7D%20%3D%20-1%20%24)
![$ d_{13} = 4 $](https://tex.z-dn.net/?f=%24%20d_%7B13%7D%20%3D%204%20%24)
![$ d_{21} = -2 $](https://tex.z-dn.net/?f=%24%20d_%7B21%7D%20%3D%20-2%20%24)
![$ d_{22} = -10 $](https://tex.z-dn.net/?f=%24%20d_%7B22%7D%20%3D%20%20-10%20%24)
![$ d_{31} = -2 $](https://tex.z-dn.net/?f=%24%20d_%7B31%7D%20%3D%20-2%20%24)
4 out of 10 drink enough water.
How many tens are there in the class of 40 ?
Four tens ?
And out of each 10, 4 do it ?
Then wouldn't there be (4 x 4) = 16 in the whole class getting enough water ?
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