The distance from Rihanna's apartment to the park is (5x+2) miles and the trip from the park to the coffee shop is (25x-8) miles long. It is given that Rihanna always stops halfway through to meet her best friend at a park, this means that the distance from Rihanna's apartment to the park is equal to the distance from the park to the coffee shop. Then
5x+2=25x-8.
Solve this equation, separating variables x in left side and numbers in right side:
5x-25x=-8-2,
-20x=-10,
20x=10,
x=10/20,
x=1/2=0.5.
Answer: x=0.5
Answer:
f^-1 (x) = x - 10...........
If r = -3 and s = 5:
(r^-4)(s^2) = (-3^-4)(5^2) = (1/81)(25) = 25/81
If r = 5 and s = -3:
(r^-4)(s^2) = (5^-4)(3^2) = (1/625)(9) = 9/625
Answer:
- determinant: -15
- x = 3; y = 4; z = 1
Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
<h3>coefficient matrix, determinant</h3>
The first attachment shows the coefficient matrix and its determinant.
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<h3>solution</h3>
The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
![\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}](https://tex.z-dn.net/?f=%5Ctextbf%7BA%24%5Ccdot%24X%7D%3D%5Ctextbf%7BB%7D%5C%5C%5C%5C%5Ctextbf%7BX%7D%3D%5Ctextbf%7BA%7D%5E%7B-1%7D%5Ccdot%5Ctextbf%7BB%7D)
This multiplication is shown in the second attachment. It tells us ...
![\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Ctextbf%7BX%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C4%5C%5C1%5Cend%7Barray%7D%5Cright%5D)