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In the $$xy$$-plane, the lines with equations $$y= 3x-1$$ and $$y=mx+1$$, where m is a constant, intersect in quadrant I. Which of the following could be the value of $$m$$?
For how many pairs of numbers $$x$$ and $$y$$ does $$(x - 7)^2 + (y + 3) ^2 = 0$$?
In the $$xy$$-plane, the point $$(s, 2s-4)$$ lies on the line with equation $$y=(\frac{-5}{2})x+\frac{1}{3}$$. What is the value of s? Give your answer as a fraction.
In the $$xy$$-plane, the graph of $$y=x^3-4x$$ intersects the x-axis between $$x=-1$$ and $$x=5$$ at how many points?
Line k in the xy-plane has y-intercept 8 and a negative x-intercept. The area of the triangle bounded by line k and the coordinate axes is 20. What is the slope of $$k$$? Give your answer as a fraction.
In the rectangular coordinate system, point $$(5, 5)$$ is equidistant from points $$(x, 0)$$ and $$(0, y)$$.

Quantity A

$$x$$

Quantity B

$$y$$




Quantity A

The sum of the coordinates of point P

Quantity B

$$0$$


In the $$xy$$-plane, the points $$(-2, 1)$$ and $$(2, 3)$$ lie on line l. Which of the following points does NOT lie on line l?
While the _____________ of reliable sources in later narratives make many details of the early history of China's Zhou dynasty unverifiable, the Zhou rulers' successful rise to power is certain.
Those who admired Callas felt that she was one of the greatest opera singers of all time, while others believed that her vocal inadequacies _____________ such a claim.
Refusing to speak plainly, the candidate tested her audience's patience with her _____________ speech.
Their remote jungle habitat and their extreme shyness have (i)_____________ any thorough investigation of orangutans except in the (ii)_____________ conditions of captivity.
Far-reaching explanations of many anomalous phenomena observed during solar eclipses have been (i)_____________ many scientists, who maintain that the correct explanations are (ii)_____________, having to do with fluctuations in temperature, atmospheric pressure, or other environmental parameters, rather than some (iii)_____________ eclipse-related factor.
Gutiérrez is the only one who seems to be (i)_____________ the controversy sparked by his article: his appetite for scientific (ii)_____________ seems, if anything, to be increasing with age.
Kennedy's novels have a baffling way of engaging us as readers and then (i)_____________ our involvement. It is not that she gives us wooden characters or poor writing or foolish plots. Rather, her books seem so adroitly written and carefully conceived, they strike us as so (ii)_____________ as we read them, that it comes as a surprise to reach the end and find them ultimately so (iii)_____________.
The mountain pine beetle is not _____________ like other major pests ravaging much of the American landscape: it is native to the western pine forests.
Few consumers think of food as having a production history. Rather, our food seems (i)_____________ those who grow, process, and serve it. Our food supply system encourages us to ignore connections between what we eat and its past, and, until recently, such (ii) _____________ on our part scarcely impacted consumer health.
The apparent simplicity of a savanna or a prairie landscape is illusory, but the illusion takes real effort to _____________ because much of what actually occurs in these places takes place underground.
The two scientists' achievements are _____________ only in a narrowly conceived history of science: although both erred in scientific judgment, both also defended science in its infancy and established it as an intelligible and useful activity.
Although most economists believe European growth will pick up this year, the numbers do not point that way _____________; in Germany, for instance, manufacturing orders are rising but industrial production is slowing.

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