The profit fundtion, \( p(x) \), for a company is the cost function, \( c(x) \), fubtracred from the revenue function, \( r(x) \). The profit function for the Acme Corporation is \( p(x)=-0.5 x^{2}+250 x-300 \) and the revenue function is \( r(x)=-0.3 x^{2}+150 x \). The cost function for the Acme Corporation is \( 1 \quad c(x)=0.2 x^{2}-100 x+300 \) 2 2 3

Задание 2. Решить неравенства а) \( |3 x-3|>1 \) б) \( |x+3|<x-2 \) в) \( |3 x+2| \leq|5 x-4| \)

Rewrite the following as a single logarithmic expression: \( 3 \log _{b} m-2 \log _{b} n \) (1 point) \( \log _{b}\left(\frac{3 m}{2 n}\right) \) \( \log _{b}\left(m^{3} n^{2}\right) \) \( \log _{b}\left(\frac{m^{3}}{n^{2}}\right) \) \( \log _{b}\left(m^{3}-m^{2}\right) \)

\( \frac{3x-4}{6}=^{\frac{7}{}}8 \)

\( A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 2 & 1 & -3 \\ 0 & -2 & 1\end{array}\right] \begin{array}{c}x-2 y=10 \\ 2 x+y+3 z=8 \\ -2 y+z=7\end{array} \quad \) find \( A-1 \)

1) \( \lg (x-1)-\lg (2 x-11)=\lg 2 \)