The following list shows how many brothers and sisters some students have: 3, 4, 3, 5, 6, 2, 5, 4, 5, 4, 6, 5, 3 State the mode.
omeli [17]
I believe the mode is 5 because there are four 5’s which is the most of a certain number in this list.
The coefficient matrix is build with its rows representing each equation, and its columns representing each variable.
So, you may write the matrix as
![\left[\begin{array}{cc}\text{x-coefficient, 1st equation}&\text{y-coefficient, 1st equation}\\\text{x-coefficient, 2nd equation}&\text{y-coefficient, 2nd equation} \end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ctext%7Bx-coefficient%2C%201st%20equation%7D%26%5Ctext%7By-coefficient%2C%201st%20equation%7D%5C%5C%5Ctext%7Bx-coefficient%2C%202nd%20equation%7D%26%5Ctext%7By-coefficient%2C%202nd%20equation%7D%20%5Cend%7Barray%7D%5Cright%5D%20%20)
which means
![\left[\begin{array}{cc}4&-3\\8&-3\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-3%5C%5C8%26-3%5Cend%7Barray%7D%5Cright%5D%20%20)
The determinant is computed subtracting diagonals:
![\left | \left[ \begin{array}{cc}a&b\\c&d\end{array}\right]\right | = ad-bc](https://tex.z-dn.net/?f=%20%5Cleft%20%7C%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%5Cright%20%7C%20%3D%20ad-bc%20)
So, we have
![\left | \left[\begin{array}{cc}4&-3\\8&-3\end{array}\right] \right | = 4(-3) - 8(-3) = -4(-3) = 12](https://tex.z-dn.net/?f=%20%5Cleft%20%7C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-3%5C%5C8%26-3%5Cend%7Barray%7D%5Cright%5D%20%5Cright%20%7C%20%3D%204%28-3%29%20-%208%28-3%29%20%3D%20-4%28-3%29%20%3D%2012%20%20)
Answer:
False
Step-by-step explanation:
To find the inverse of a function, switch the variables and solve for y.
The inverse of f(n)=-(n+1)^3:


![\sqrt[3]{n} =-(y+1)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-%28y%2B1%29)
![\sqrt[3]{n} =-y-1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-y-1)
![\sqrt[3]{n} +1=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%2B1%3D-y)
![-(\sqrt[3]{n} +1)=y](https://tex.z-dn.net/?f=-%28%5Csqrt%5B3%5D%7Bn%7D%20%2B1%29%3Dy)
![-\sqrt[3]{n} -1=y](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7Bn%7D%20-1%3Dy)
Answer: triangle 1, triangle 2, and triangle 3
Step-by-step explanation:
Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.
Answer: c
Step-by-step explanation: I took the test