\(10 x ^ { 2 } - 3 x - 4 \)
First, choose a form with appropriate signs. Then, fill in the blanks with numbers to be used for grouping Finally, show the factorization.
Form:
\( 10 x ^ { 2 } + \square x + \square x - 4 \)
\( 10 x ^ { 2 } + \square x - \square x - 4 \)
\( 10 x ^ { 2 } - \square x + \square x - 4 \)
\( 10 x ^ { 2 } - \square x - \square x - 4\) \(10 x ^ { 2 } - 3 x - 4 \)
B. \(10x^2+ 5x- 8x- 4\)
Factorization: (2x + 1)(5x - 4)
Find the solution of the exponential equation \( 16 e ^ { x } = 12 \) in terms of logarithms, or correct to four decimal places. \( x = \)
Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function
\( m ( t ) = 100 e ^ { - 0.01 t } \)
where \( m ( t ) \) is measured in grams. (a) Find the mass at time \( t = 0 \) . Your answer is (b) How much of the mass remains after \( 20 \) years? Your answer is Round answers to \( 1 \) decimal place.
