There is a rack of 12 billiard balls. Bails numbered 1 through 8 are solid-colored. Balls numbered 9 through 12 contain stripes. If one bail is selected at random, determine the odds for it being striped.

Perform the indicated operation and simplify the result. Leave your answer in factored form. \( \frac{\frac{12 x}{x^{2}-16}}{\frac{8 x}{x+4}} \) \( \frac{12 x}{x^{2}-16} \) \( \frac{8 x}{x+4} \) (Simplify your answer. Type your answer in factored form. Use integers or fractions for any numbers in the expression.)

4:Modiente los 4 pases a) \( f(x)=2 x^{2}-5 x+3 \)

4) \( \int_{1}^{2} x^{4} d x \)

\( f(x)=\frac{2(x+1)}{x^{2}}, x \neq 0 \) (a) Use the sign pattern for \( f^{\prime}(x) \) to determine the interval( \( x \) ) over which \( f \) rises and where it falls. (b) Determine the coordinates of the local extreme point(s). (c) Use the sign pattern for \( f^{\prime \prime}(x) \) to determine the interval(s) over which the graph of \( f \) is concave up and (d) Determine the coordinates of the inflection point.

Simplify the given expression. \[ (\sqrt{6}+7)(\sqrt{6}-3) \] \( (\sqrt{6}+7)(\sqrt{6}-3)= \) (Type an exact answer, using radicals as needed. Do not factor