In the $xy$-plane line $l$ has a slope of $m$ and a $y$-intercept of $b$, what is the $x$-intercept of the line $l$ in terms of $m$ and $b$?

- $\quad -\dfrac{b}{m}$
- $\quad -\dfrac{m}{b}$
- $\quad \dfrac{1}{bm}$
- $\quad \dfrac{b}{m}$
- $\quad \dfrac{m}{b}$

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In the $xy$-plane line $l$ has a slope of $m$ and a $y$-intercept of $b$, what is the $x$-intercept of the line $l$ in terms of $m$ and $b$?

- $\quad -\dfrac{b}{m}$
- $\quad -\dfrac{m}{b}$
- $\quad \dfrac{1}{bm}$
- $\quad \dfrac{b}{m}$
- $\quad \dfrac{m}{b}$

How many liters of a $12$ percent alcohol solution must be added to $6$ liters of a $24$ percent alcohol solution to obtain a solution that is $15$ percent alcohol?

- $\quad 9$
- $\quad 15$
- $\quad 18$
- $\quad 20$
- $\quad 24$

The price of an item in year 2000 was $p$ dollars. Each year after that the price was $10$ percent greater than the price for the previous year. What was the total percent increase in the price of the item from year 2000 to the year 2003?

- $\quad 30\%$
- $\quad 31.3\%$
- $\quad 32\%$
- $\quad 33.1\%$
- $\quad 36.3\%$

This GRE quantitative comparison question tests your understanding of quadratic equations.

$$

\begin{array}{c}

x \gt 0 \\

(6x)^2 \, – (6x) \,- 12 = 0

\end{array}

$$

$\begin{array}{c c c c c c c}

& & & \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\

& & & x & & & & \dfrac{3}{4} \\

\end{array}$

- $\quad \textrm{Quantity A is greater.}$
- $\quad \textrm{Quantity B is greater.}$
- $\quad \textrm{The two quantities are equal.}$
- $\quad \textrm{The relationship cannot be determined from the information given.}$

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