Point \( B^{\prime}(6,-5) \) is the image of \( B(-5,-2) \) under a translation. Determine the translation. Use non-negative numbers. A translation by \( 11 \quad \) units to the right/left \( \checkmark \) and -3 units up/down

A company decides to begin making and selling computers. The price function is given as follows: \[ p=-50 x+2300 \] where \( x \) is the number of computers that can be sold at a price of \( p \) dollars per unit. Additionally, the financial department has determined that the weekd) fixed cost of production will be 7000 dollars with an additional cost of 100 dollars per unit. (A) Find the revenue function in terms of \( x \). \( R(x)=\square \) (B) Use the financial department's estimates to determine the cost function in terms of \( x \). \( C(x)=\square \) (C) Find the profit function in terms of \( x \). \( P(x)=\square \) (D) Evaluate \( P^{\prime}(x) \) at \( x=250 \). \( P^{\prime}(250)=\square \)

\( \left. \begin{array} { l } { 3 x + 12 = } \\ { m x + m = } \\ { 8 m ^ { 2 } + 12 m } \\ { 3 a m ^ { 3 } + 6 a ^ { 3 } m } \\ { a ^ { 2 } + a b = } \\ { t ^ { 3 } - 8 t ^ { 2 } + t } \\ { 15 a b c ^ { 2 } + 45 a ^ { 2 } b } \end{array} \right. \)

Es correcto afirmar que 4 es a 5 como 20 es a 25. Verdadero \( \bigcirc \) Falso

d. \( \frac{1}{2}-\frac{1}{3}=1-\frac{5}{8} x \)

59. [Application] Marine Corps. The total number of active U.S. Marine Corps (in thousands), during 2005-2019 can be approximated by the function \[ M(t)=0.042 t^{3}-1.1718 t^{2}+8.4 t+182.2122 \text {, } \] where \( t=0 \) represents 2005 . The model indicates the total number of active U.S. Marine Corps in 2008 as 198,000 . Find another year after 2008 when the model indicates the same number of active U.S. Marine Corps. (The model was generated using the data from the U.S. Department of Defense budget report.)