Assuming that the distance between the points $(2,-3)$ and $(-1,y)$ is 5 units, find y.

${\displaystyle \frac{4}{x-1}}-{\displaystyle \frac{3}{x+2}}={\displaystyle \frac{18}{(x+2)(x-1)}}$

$|2x-5|=3$

$4x^2=8x-13$

${\left({\displaystyle \frac{3x-1}{x+5}}\right)}^2-3\left({\displaystyle \frac{3x-1}{x+5}}\right)-28=0$

${\text{log}}_2\left|x\right|+{\text{log}}_2|x+6|=4$

${\displaystyle \frac{x+2}{2x-1}}>0$

$x^2-7x+6\le 0$

Write all possible rational zeros of

Show that ${\displaystyle \frac{1}{2}}$ is a zero of multiplicity 2 of the function f in Exercise 9.

The horsepower required to propel a ship varies as the cube of the ship’s speed. If the horsepower required for a speed of 15 miles per hour is 10,125, find the horsepower required for a speed of 20 miles per hour.

A city covers an area of 400 square miles. At present, only 2% of its area is reserved for parks. In the unincorporated area outside the city limits, 20% of the area could be developed into parks. How many square miles of the incorporated area had to be annexed so that the city could develop 12% of its area as parks?

$\{\begin{array}{rllll}3x& +& y& =& 2\\ 4x& +& 5y& =& -1\end{array}$

$\{\begin{array}{rllll}2x& +& y& =& 5\\ y^2& -& 2y& =& -3x+5\end{array}$

Use transformations to sketch the graph of

Find the inverse of the matrix $\left[\begin{array}{rrr}1& 2& -2\\ -1& 3& 0\\ 0& -2& 1\end{array}\right].$

Use the result in Exercise 16 to solve the system of equations.

Assuming that $f(x)=x^2+3x-1$ and $g(x)=x+2,$ find (a) $F(x)=(f\circ g)(x)$ and (b) F(4).

Let $f(x)={\displaystyle \frac{x}{x+4}}.$ Find $f^{-1}(x).$

In Exercise 19, find the domain and range of f.