\( 2 x y^{\prime}-3 \) FACTOR IN

Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. Both sales volume and advertising expenditures are in thousands of dollars. Estimated Sales Volume \( =45.06+0.47 \) (Advertising Expenditures) If the company has a target sales volume of \( \$ 225,000 \), how much should the sales manager allocate for advertising in the budget? Round your answer to the nearest dollar.

Considérense las siguientes funciones lineales: \( 5 y+3 x-15=0 \) y \( 3 y-5 x-9=0 \). Con respecto a las líneas rectas que determinan dichas funciones, puede afirmarse que: Seleccione una: a. Ambas rectas son paralelas ob. Ambas rectas interceptan al eje \( y \) en el punto de coordenada \( (0,3) \) c. El punto de coordenada \( (3,8) \) pertenece a la recta cuya función es \( 5 y+3 x-15=0 \) d. La recta \( 3 y-5 x-9=0 \) tiene pendiente \( m=-\frac{5}{3} \)

is the slope of \( 2 x-4 y=8 \)

\begin{tabular}{l|l} System A \\ \( \begin{aligned} x-2 y=6 \\ -x+2 y=6\end{aligned} \) & \( \begin{array}{l}\text { The system has no solution. } \\ \text { The system has a unique solution: } \\ \text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: }\end{array} \)\end{tabular}

ii. \( \quad \log _{3} x-4 \log _{x} 3=0 \)