(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 \[ T(w)=\frac{300}{530-w} \]

Faktoriseer in Afrikaans \( 4(m-2 n)^{2}-25 \)

Use the Factor Theorem to determine whether \( x-2 \) is a factor of \( P(x)=x^{3}-3 x^{2}-4 x+ \) Specifically, evaluate \( P \) at the proper value, and then determine whether \( x-2 \) is a factor. \( \begin{array}{l}P(\square)=\square \\ x-2 \text { is a factor of } P(x) \\ x-2 \text { is not a factor of } P(x)\end{array} \)

\( 3z^{3}<9x \)

Multiply. \[ \begin{array}{l}(\sqrt{2}+7 \sqrt{5})(6 \sqrt{5}+\sqrt{2}) \\ \text { Simplify your answer as much as possible. }\end{array} \] II .

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. \[ \sqrt{y^{2}-2 y+1} \]