fiven that \( f(x)=x^{2}+14 x+48 \) and \( g(x)=x+6 \), find \( (f \div g)(x) \) and expres he result as a polynomial in simplest form.

Use the change-of-base formula and a calculator to evaluate the logarithm. Round your answer to three decimal places. \( \log _{1 / 2} 6 \) \( \log _{1 / 2} 6 \approx \square \) (Do not round until the final answer. Then round to three decimal places as needed.)

(D) Which of the following statements is true regarding outliers? \begin{tabular}{|l|l}\( \mid \) A & They are data points that lie together with the rest of the points. \\ \hline C & They can produce residuals with small magnitudes and are usually complex to identify on scatter plots. \\ \hline D & They may simply be data points that conform to the general trend. \end{tabular}

Write the equation of the parabola in vertex form. vertex \( (1,4) \) point \( (2,2) \)

\( \begin{array}{ll}\begin{array}{l}\text { Crude oil may contain hundreds of different types } \\ \text { of hydrocarbons. Some examples include: }\end{array} & \begin{array}{l}\text { Identify each of the highighted materials as an } \\ \text { element, a compound, or a mixture, and explain } \\ \text { your reasoning. }\end{array} \\ \text { - Butane }\left(\mathrm{C}_{4} \mathrm{H}_{10}\right) & \\ \text { - Dodecane }\left(\mathrm{C}_{12} \mathrm{H}_{26}\right) & \\ \text { - Benzene }\left(\mathrm{C}_{6} \mathrm{H}_{6}\right) & \\ \text { Many common fuels, such as gasoline and } \\ \text { kerosene, are combinations of these substances } \\ \text { or others. When these fuels burn, they combine } \\ \text { with oxygen }\left(\mathrm{O}_{2}\right) \text { to produce carbon dioxide }\left\{\mathrm{CO}_{2}\right) & \\ \text { and water }\left(\mathrm{H}_{2} \mathrm{O}\right) \text {. }\end{array} \)

i) Determine if the line \( -2 x+5 y=10 \) is parallel to the line \( y=\frac{2}{5} x+8 \) no yes