A plane flies \( 560 mi \) in \( 1.75 hr \) traveling with the wind. The return trip later against the same wind takes the plane \( 2 hr \) . Find the rate of the plane and the speed of the wind. Let \( x = \) the rate of the plane and \( y = \) the speed of the wind.
\(\text { plane: } 300 mph ; \text { wind: } 20 mph\)
Let the function \( f \) be defined by \( y = f ( x ) \) , where \( x \) and \( f ( x ) \) are real numbers. Find
\( f ( 2 ) , f ( - 3 ) , f ( k ) \) , and \( f ( k ^ { 2 } - 1 ) \)
\( f ( x ) = 2 / 3 x + 5\)
\(- y ^ { 2 } - 2 = y \) Find the values of \( a , b \) , and \( c \) that should be used in the quadratic formula to determine the solution of the quadratic equation.
