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Which of the following points lie(s) inside the region expressed by y≥-2x+1?

Indicate all such points?
From X to Z, A and B have different choices of routes. A goes directly from X to Z at an average speed of 20mile/h for 10 miles, while B starts first from X to Y at an average speed of 20mile/h for 7miles, and then from Y to Z at an average speed of 30mile/h for 4miles. What is the minimum minutes from X to Z between A and B?
In a store, $$\frac{2}{3}$$ of the employers take care of the customers and $$\frac{1}{5}$$ of the employers wash dishes. What is the proportion of employers who do not take care of the customers or wash dishes?
In a list of 9 integers, the median is 1, the mean is 0, the only mode is 2, and the greatest is 3.

Quantity A

The least possible range of the 9 integers

Quantity B

5


The expression $$x^{4}+2x^{2}y^{2}+9y^{4}$$ is equivalent to which of the following?
x and y are nonnegative numbers.

Quantity A

$$\sqrt{xy}$$

Quantity B

$$\frac{x+y}{2}$$


The salaries of five employees A, B, C, D and E are all positive integers. If the median salary of all five employees is 2000, and the salary of C, D, and E is 2000, 4000, 5000, respectively. Which of the following could be the average salary of all five employees?

Indicate all such numbers.
The dollar value of a certain carving in 1983 was 20 percent greater than its dollar value in 1978.The dollar value of the carving in 1988 was 70 percent greater than its dollar value in 1978.

Quantity A

The percent increase in the dollar value of the carving from 1983 to 1988

Quantity B

50%


If 1 ≤ x ≤ 4 and -3 ≤ y ≤ 2, what is the least possible value of $$x^{-2} +y^{-2}$$?
If 20 percent of the amount budgeted for vacation had instead been added to the amount budgeted for entertainment, which of the following is closest to the percent by which the amount budgeted for entertainment would have increased?
In each of the years after year X, the Alden family budgeted $200 more for savings than it budgeted for savings the previous year. What is the total amount that the Alden family budgeted for savings over the 10 years beginning with year X?
Line k lies in the xy-plane. The x-intercept and the y-intercept of line k are a and b, respectively, where a≠0 and b≠0.

Which of the following statements individually provide(s) sufficient additional information to conclude that the slope of line k is positive?

Indicate all such statements.

The primary purpose of the passage is to
Evidence of the human brain's ____________ abounds: violinists, for example, tend to have larger cortical areas devoted to processing signals from their fingering hands than do non-violinists.
It can be inferred from the passage that, compared to the versions in modern editions, some Old English poems as they come to us in surviving manuscripts
Although traditionally artists have rightly been seen as the most ____________ audience for the work of their colleagues, today taste is also created by critics and curators and occasionally by collectors.
Accounts of early opera performances-both of the performances themselves and of their social milieu- indicate that the origins of the genre were anything but ____________; it began at the peak.
Set S={2, 4, 6}

Set T={2, 4, 6, 8, 10, 12}

How many different sets M, other than S and T, can be formed such that S is a subset of M and M is a subset of T?
By sucking people into towns and draining the countryside of communities and workers, the passenger train (i)____________ its reason for being: moving people between country districts and urban centers. The major (ii)____________ urbanization in the United States, the railway fell victim to it. Once the overwhelming majority of nonelective journeys were either very long or very short, it became (iii)____________ for people to undertake them in planes or cars.
The volume of a red container is 3 times the volume of a green container. What fraction of the green container is equal to $$\frac{1}{12}$$ of the volume of the red container?

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