You are planning a party and want to know how many cans of soda to buy. A genie offers to tell you either the mean number of cans guests will drink or the median number of cans. Which measure of center should you ask for? Why? To make your answer concrete, suppose that there will be 30 guests and the genie will tell you either $\overline{x}=5$ cans or M=3 cans. How many cans should you have on hand?

Solve the given equation or inequality graphically. State your answers rounded to two decimals. $\text { (b) } x^{3}+3 x^{2} \geq-x^{2}+3 x+7$

Posez les questions suivantes a un(e) camarade.

Comment preferes-tu voyager en vacances? Pourquoi? Est-ce que ca dépend de ta destination?

Combine like terms and write in descending order: $y^2-3 y-y+\frac{3}{4} y^2$

What are the consequences of inaccurate coding and incorrect billing?

Calculate the $\mathrm{pH}$ at the equivalence point in titrating $0.100 \mathrm{M}$ solution of the following with $0.080 \mathrm{M}$ $\mathrm{NaOH}$ :

lactic acid $\left(\mathrm{HC}_3 \mathrm{H}_5 \mathrm{O}_3\right)$

Test the generalization and state whethe it appears to be correct or incorrect. If incorrect, give an example to support why.

The sum of the angles of any triangle is $180^{\circ}$.

First rearrange in descending order of the variable. Then factor: $12 t+35+t^{2}$

Find the exact value of the given expression. If an exact value cannot be given, give the value to the nearest ten-thousandth. If the exercise expression is not defined, simply respond with "Undefined." $\\$$\tan \left(\sin ^{-1}$$\frac{1}{2}\right)$

For each quadratic function, write the equation for the axis of symmetry, and find the coordinates of the vertex.

$y=5 x-x^2$

Two trigonometric functions f and g have periods of 2, and their graphs intersect at x = 5.35. Give one positive value of x less than 5.35 and one value of x greater than 5.35 at which the functions have the same value.

Plot the function. Label the vertex and the axis of symmetry.

$$y=-\frac{1}{3} x^2-2 x-2$$

Why is the term urogenital system more applicable to males than females?

For each quadratic function, find the axis of symmetry and the vertex of its graph.

$$y = - x ^ { 2 } - x - 4$$