If you go $50$ miles in $2 \frac{1}{2}$ hours, what is your average speed?

Find a polynomial equation with integer coefficients for the set of coplanar points described. tell whether or not the graph is a conic section and, if it is, tell which conic section.
Each point is equidistant from the point $(2,5)$ and the line $x=-3$.

Sketch the graph:
A system of inconsistent linear equations

Complete the square (if necessary ) to find the center and radius . Then draw the graph:\

$$x^2+y^2-14 y+48=0$$

Simplify: $7+3(x-5)$

Write the general equation of:
A linear function.

a. Complete the square (if necessary), find the center, draw the asymptotes, plot the vertices, then sketch the graph.
b. Calculate the focal radius, and plot the foci.
c. Confirm your sketch by plotting the original equation, using PLOT CONIC on the accompanying disk, or a similar program.
$x^2-4 y^2+4 x+32 y-96=0$

Multiply: $(3 x+4 y)(3 x-4 y)$

a. Calculate the solution set and
b. Demonstrate that your solutions are right by drawing the graphs, preferably by computer.
$5 x^2-3 y^2=-22$\

$$5 x^2-6 y^2+12 y=-85$$

a. Sketch the graph of the relation,
b. Calculate the focal radius and plot the two foci,
c. Confirm your sketch by plotting the original equation, using PLOT CONIC on the accompanying computer disk, or a similar program.\

$$25 x^2+9 y^2+50 x-36 y-164<0$$

a. Calculate the solution set and
b. Demonstrate that your solutions are right by drawing the graphs, preferably by computer.
$x^2+2 y^2=33$\

$$x^2+y^2+2 x=19$$

Complete the square (if necessary ) to find the center and radius . Then draw the graph:\

$$x^2+y^2+4 x-5=0$$

Solve: $|x-11|=2$

Simplify: $-3 x(x+5)-17$