(7) Problem 6 A plane is going to fly 300 miles at a planned speed of 530 mph . The flight will have an average headwind of \( w \) miles per hour the entire time, meaning the plane is flying directly against the wind. The time \( T \), in hours, of the flight is a function of the speed of the headwind \( w \), in mph, and can be modeled by \[ T(w)=\frac{300}{530-w} \]

1 Graph \( y-2=\frac{2}{3}(x-3) \)

Consider the line \( y=\frac{5}{2} x-3 \). Find the equation of the line that is perpendicular to this line and passes through the point \( (2,-5) \). Find the equation of the line that is parallel to this line and passes through the point (2, -5). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line:

Solve the equation by factoring. Select the correct solution. \( 6 x^{2}-5 x-4=0 \) \( \begin{array}{ll}\text { O } & \text { A) } x=-\frac{4}{3},-\frac{1}{2} \\ \text { O } & \text { B) } x=-\frac{1}{2}, \frac{4}{3} \\ \text { O } & \text { C) } x=-\frac{4}{3}, \frac{1}{2} \\ \text { - } & \text { D) } x=\frac{1}{2}, \frac{4}{3}\end{array} \)

Solve the equation. \( \ln (8 \mathrm{x}+15)-\ln \mathrm{x}=\ln 9 \) Select the correct choice below and, if necessary, fill in th A. The solution set is \( \{ \) B. The solution is the empty set. (Simplify your answer. Use a comma to separate a

Use the distributive property to fill in the blanks below. \( 6 \times(9-4)=(\llbracket \times 9)-(\square \times 4) \) Introduction to the distributive property