91Ó°ÊÓ

Solve \(\log _{3}(x+1)+\log _{3}(x-5)=3\).

A system of equations can be used to find the equation of a line that goes through two points. For example, if \(y=a x+b\) goes through \((3,5),\) then a and b must satisfy \(3 a+b=5 .\) For each given pair of points, find the equation of the line \(y=a x+b\) that goes through the points by solving a system of equations. $$(-3,9),(2,-1)$$

Solve \(e^{x^{2}-x}=1\).

A system of equations can be used to find the equation of a line that goes through two points. For example, if \(y=a x+b\) goes through \((3,5),\) then a and b must satisfy \(3 a+b=5 .\) For each given pair of points, find the equation of the line \(y=a x+b\) that goes through the points by solving a system of equations. $$(1,-1),(3,7)$$

Solve the system \(y=x^{2}+1\) and \(y=x+1\).

A system of equations can be used to find the equation of a line that goes through two points. For example, if \(y=a x+b\) goes through \((3,5),\) then a and b must satisfy \(3 a+b=5 .\) For each given pair of points, find the equation of the line \(y=a x+b\) that goes through the points by solving a system of equations. $$(-2,3),(4,-7)$$

Find the amount after 3 years and 6 months for an investment of 20,000 dollars that returns \(5 \%\) compounded continuously.

Solve \(2 x^{3}+x^{2}-41 x+20=0\)

Find the domain and range for the function \(y=\sqrt{3 x-1}+4\).

A system of equations can be used to find the equation of a line that goes through two points. For example, if \(y=a x+b\) goes through \((3,5),\) then a and b must satisfy \(3 a+b=5 .\) For each given pair of points, find the equation of the line \(y=a x+b\) that goes through the points by solving a system of equations. $$(-3,-1),(4,9)$$