A balanced chemical equation indicates the proportions or ratios of the various reactants and products to one another. From the coefficients in the balanced chemical equation, we can create mole-mole ratios that relate any of the various chemicals to a different chemical. For example, consider the following balanced chemical equation: \[ \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \rightarrow 2 \mathrm{NH}_{3}(g) \] From this equation, there are several possible mole-mole ratios. Two of these mole- mole ratios are the following: \[ \frac{3 \text { moles } \mathrm{H}_{2}}{1 \text { mole } \mathrm{N}_{2}} \text { or } \frac{2 \text { moles } \mathrm{NH}_{3}}{3 \text { moles } \mathrm{H}_{2}} \] Which is a possible mole-mole ratio for the following balanced chemical equation? \( \mathrm{Mg}(\mathrm{OH})_{2}(\mathrm{~s})+2 \mathrm{HCl}(\mathrm{aq}) \rightarrow 2 \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{MgCl}_{2}(\mathrm{aq}) \)

15. วิทยุเครื่องหนึ่งติดราคาไว้ 270 บาท ทางห้างประกาศลดราคา \( 15 \% \) ราคาขายจริงจะเป็นเท่าใด \( \begin{array}{llll}\text { ก. } 229.50 \text { บาท } & \text { ข. } 255 \text { บาท } & \text { ค. } 257 \text { บาท } & \text { ง. } 310.50 \text { บาท }\end{array} \)

Consider the function \( f(x)=12 x^{5}+15 x^{4}-240 x^{3}+1 \). \( f(x) \) has inflection points at (reading from left to right) \( x=D, E \), and \( F \) where \( D \) is and \( E \) is and \( F \) is

a. \( 3\left(7+x-x^{2}\right)+2(3 x+1)\left(\frac{1}{2 x^{2}}+\frac{1}{4 x^{2}}\right)+\left(2 x^{2}-2 x^{2}\right)= \)

Find the vertical, horizontal, and oblique asymptotes, it \( T(x)=\frac{x^{3}}{x^{4}-81} \) Select the correct choice below and fill in anv answer bo

Find the zeros of the polynomial function and state the multiplicity of each. \[ f(x)=x^{4}-27 x^{2}+50 \] The smallest zero is -5 with multiplicity 1 . (Type an exact answer, using radicals as needed.) The smaller middle zero is \( -\sqrt{2} \) with multiplicity 1. (Type an exact answer, using radicals as needed.) The larger middle zero is \( \sqrt{2} \) with multiplicity 1. (Type an exact answer, using radicals as needed.) The largest zero is \( \square \) with multiplicity \( \square \). (Type an exact answer, using radicals as needed.)