Solution Bank Equations and Inequalities Target A
Answers to the Practice Problems are below in random order.
\(\begin{align}&\text{No Solution}\ & \ \ \ \ \ &y=\frac{4}{x}+2\ & \ \ \ \ \ &\$37\ & \ \ \ \ \ &y=\frac{2x+4}{5-3x}\\\\
&\text{No Solution}\ & \ \ \ \ \ &\text{After 7 months}\ & \ \ \ \ \ &y=\frac{2}{x}+5\ & \ \ \ \ \ &x=-\frac{1}{2}\\\\
&-5<x\le-1\ & \ \ \ \ \ &x=-7\ & \ \ \ \ \ &w=\frac{P-2l}{l}\ \text{or}\ \ w=\frac{P}{2}-l\ & \ \ \ \ \ &x\le-8\ \text{or}\ \ x>2\\\\
&\text{All Real Solutions}\ & \ \ \ \ \ &-2<x<13\ & \ \ \ \ \ &x=3\ & \ \ \ \ \ &r=\sqrt{\frac{3V}{\pi h}}\\\\
&x\ge4\ & \ \ \ \ \ &y=6x+30\ & \ \ \ \ \ &y=\frac{5}{6}x-4\ & \ \ \ \ \ &x=\frac{6}{5}\\\\
&y=\frac{4x-15}{-3x+9}\ & \ \ \ \ \ &x=2\ & \ \ \ \ \ &x=\frac{1}{6}\ & \ \ \ \ \ &P=\frac{2\left(S-B\right)}{l}\end{align}\)
Answers to the Practice Problems are below in random order.
\(\begin{align}&\text{No Solution}\ & \ \ \ \ \ &y=\frac{4}{x}+2\ & \ \ \ \ \ &\$37\ & \ \ \ \ \ &y=\frac{2x+4}{5-3x}\\\\
&\text{No Solution}\ & \ \ \ \ \ &\text{After 7 months}\ & \ \ \ \ \ &y=\frac{2}{x}+5\ & \ \ \ \ \ &x=-\frac{1}{2}\\\\
&-5<x\le-1\ & \ \ \ \ \ &x=-7\ & \ \ \ \ \ &w=\frac{P-2l}{l}\ \text{or}\ \ w=\frac{P}{2}-l\ & \ \ \ \ \ &x\le-8\ \text{or}\ \ x>2\\\\
&\text{All Real Solutions}\ & \ \ \ \ \ &-2<x<13\ & \ \ \ \ \ &x=3\ & \ \ \ \ \ &r=\sqrt{\frac{3V}{\pi h}}\\\\
&x\ge4\ & \ \ \ \ \ &y=6x+30\ & \ \ \ \ \ &y=\frac{5}{6}x-4\ & \ \ \ \ \ &x=\frac{6}{5}\\\\
&y=\frac{4x-15}{-3x+9}\ & \ \ \ \ \ &x=2\ & \ \ \ \ \ &x=\frac{1}{6}\ & \ \ \ \ \ &P=\frac{2\left(S-B\right)}{l}\end{align}\)