A laboratory test confirms that \( 9 \) milligrams of a particular radioactive substance decreases to \( 7 \) milligrams in \( 20 \) seconds. Determine the half - life of the substance.
(A) \( 10.25 \) seconds (B) \( 40 \) seconds (C) \( 32.27 \) seconds (D) \( 55.16 \) seconds
\(D\)
Calculate the maximum value of \( 4 x + 6 y \) subject to the constraints below:
\( 3 x + y \leq 16 \)
\( x + 3 y \leq 16 \)
\( y \geq 1 \)
\( x \geq 0\)
Jse the equation of the polynomial function \( f ( x ) = - 2 ( x - 1 ) ( x ^ { 2 } - 4 ) \) to complete the followin (a) State the degree and the leading coefficient. (b) Describe the end behavior of the graph of the function. (c) Support your answer by graphing the function. (a) The degree of the polynomial is \( \square \) and the leading coefficient is \( \square \) .
