91Ó°ÊÓ

Determine the zeros, if any, of each function. $$ f(x)=\frac{2}{3} x-6 $$

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{array}{l} {x=4} \\ {y=-5} \end{array} $$

Asel's two student loans totaled \(\$ 12,000\). One of her loans was at \(6.5 \%\) simple interest and the other at \(7.2 \%\). After one year, Asel owed \(\$ 811.50\) in interest. What was the amount of each loan?

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{aligned} &t+2 s=-1\\\ &s=t+10 \end{aligned} $$

Determine the zeros, if any, of each function. $$ f(x)=2.7-x $$

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} a-b &=6 \\ 3 a-4 b &=18 \end{aligned} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(3 y=x\) \(5 x+14=y\)

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{array}{r} {2 b+a=11} \\ {a-b=5} \end{array} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(5 a=2 b\) \(2 a+11=3 b\)

A self-employed contractor nearing retirement made two investments totaling \(\$ 15,000 .\) In one year, these investments yielded \(\$ 1023\) in simple interest. Part of the money was invested at \(6 \%\) and the rest at \(7.5 \% .\) How much was invested at each rate?