Use the x-intercept method and the given graph to solve each equation or inequality. (Hint: Extend the concepts of Section mentioned for graphical solution of linear equations and inequalities.)

$$f(x)=\left(x-\frac{1}{2}\right)^2-\frac{81}{4}$$

(a) f(x)=0

(b) $f(x) \geq 0$

(c) $f(x) \leq 0$

An aqueous solution is $20.0 \%$ by mass of sodium thiosulfate pentahydrate, $\mathrm{Na}_3 \mathrm{~S}_2 \mathrm{O}_3 \cdot 5 \mathrm{H}_2 \mathrm{O}$. What is the molarity of $\mathrm{Na}_2 \mathrm{~S}_2 \mathrm{O}_3$ in this solution at $20^{\circ} \mathrm{C}$ ? The density of this solution at $20^{\circ} \mathrm{C}$ is $1.174 \mathrm{~g} / \mathrm{mL}$.

In general, are you likely to choose as a friend a person who is similar to you or a person who complements your strengths and weaknesses?

How can you use the population and area of a region to describe how densely the region is populated?

Say whether the person are hungry or thirsty (or both), according to the illustration.

Mlle Duval

Suppose that the average IQ score is normally distributed with a mean of 100 and a standard deviation of 16.

a. What is the probability a randomly selected person will have an IQ score of less than 80 ?

b. What is the probability that a randomly selected person will have an IQ score greater than 125 ?

c. What minimum IQ score does a person have to achieve to be in the top $2.5 \%$ of IQ scores?

Escribe una carta al director de un periódico sobre algún problema que enfrenta tu ciudad, o sobre otro asunto que te interese. Usa por lo menos cinco adjetivos que vayan antes del sustantivo y cinco que vayan después.

MODELO Estimado director: Me he fijado en los enormes problemas de.

How does the acceleration due to gravity at the surface of a planet change if the planet's mass is doubled?

Would it have benefited Helfer to tell the director how he did the fly trick? Explain.

Write the fraction as a percent.

$$\frac { 7 } { 20 }$$

Solid homogeneous cylinders 400 mm high and 250 mm in diameter are supported by a flat conveyor belt which moves horizontally. If the speed of the belt increases according to v = 1.2 + 0.9$t^2$ m/s, where t is the time in seconds measured from the instant the increase begins, calculate the value of t for which the cylinders begin to tip over. Cleats on the belt prevent the cylinders from slipping.

What is the original molarity of an aqueous solution of ammonia $\left(\mathrm{NH}_3\right)$ whose $\mathrm{pH}$ is $11.22$ at $25^{\circ} \mathrm{C}$ ? $($Use the $K_{\mathrm{b}}$ for $\left.\mathrm{NH}_3=1.8 \times 10^{-5}\right)$

Find the slope of the line containing the given pair of point. If the slope is undefined, state this.

$(5,-2)$ and $(-4,-2)$

A person has a hematocrit of 62 . Can you conclude from this finding that the person has polycythemia? Explain.