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The line with equation $$y=3x-2$$ will be translated $$4$$ units to the right and $$5$$ units up in the xy-plane. Which of the following is the equation of the resulting line?
The primary purpose of the passage is to
Animals whose behavioral traits are (i)____________ thereby have a level of (ii)____________ when environmental conditions vary. However, studies of animal personality also suggest that the behavior of individual animals can be constrained to certain behavioral types, leading to consistent differences between individuals.
$$a ≠ -2b$$

Quantity A

$$\frac{(a+b)^{2}-b^{2}}{a+2b}$$

Quantity B

$$a$$




w ≠ 0

$$\frac{x}{w}$$=$$\frac{w}{y}$$

Quantity A

x

Quantity B

y


3x+8-x=17+x-9

Quantity A

x

Quantity B

1




In a set of cards, each card is colored one of three colors and each card is labeled with one letter as indicated in the table. If one card is to be selected at random from the set, what is the probability that the selected card will be blue or labeled with the letter W?
If the sum of all edges in a cube is 36, what is the volume of the cube?
In the xy-plane, a line pases through two points (6, 20) and (2, 22), respectively.

Quantity A

The x-intercept of the line

Quantity B

36


(a+b)(c+d)=0 c≠-d

Quantity A

-a

Quantity B

b


R is a positive multiple of 21.

Quantity A

The remainder when 20R is divided by 12

Quantity B

0




In the above figure, points B, C and D are centers of three congruent circles, and circle C passes through the center of circle B and circle C.

Quantity A

The area of the shaded area

Quantity B

The area of the unshaded area


When x+1 is divided by 7, the remainder is 3.

Quantity A

The remainder when x is divided by 7

Quantity B

0


Integers x and y are each greater than 1, and 7 < xy < 13. How many different values of xy are possible?
In a sequence, $$x_{n}=\frac{1}{x_{n+1}}$$, $$x_{9}$$=2 (n≥0)

Quantity A

$$x_{1}$$

Quantity B

$$x_{18}$$


2 ≤ x ≤ 7 and 5 ≤ y ≤ 14

x and y are different positive integers.

Quantity A

The greatest possible value of $$\frac{5}{x-y}$$

Quantity B

5




Square EFGH is inscribed inside square ABCD.

If the perimeter of square ABCD is 48, and ∠DEH=60°, then which of the following is nearest to the perimeter of the square EFGH?


Quantity A

x

Quantity B

60


A certain museum contains a total of 1,500 works of art, of which 800 are paintings. Of the twentieth-century works of art in the museum, 40 percent are paintings. Of the works of art that are not paintings, 490 are not twentieth-century works of art.

How many twentieth-century works of art does the museum contain?


What is the area of the shaded region shown in the xy-plane?

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