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a, c and k are positive integers.

Quantity A

$$\frac{a}{c}$$

Quantity B

$$\frac{(a+k)}{(c+k)}$$


If a and b are positive numbers and a + b =10,what is the greatest possible value of ab?
The average height of the first five people is 60 inches, and the average will become over 60 inches when the sixth one joins, what is the height of the sixth person could be?

Indicate all such possible heights.
In a poll of 1,200 men and women, more than half of those polled were men. Of those polled, 30 percent of the women favored a plan to increase government spending on public schools and 10 percent of the men favored the plan. Of the 1,200 men and women polled, the number who favored the plan was
Which of the following functions f defined for all numbers x has the property that f(-x)=-f(x)?
When a stuff drops from a certain altitude, if the distance between it and the ground is H and the time it has been dropping is t, H and t satisfy an equation: H=8-4.9$$t^{2}$$. Then how long will it need to hit the ground?

Give your answer to the nearest tenths.
Define x@=$$(x-1)^{2}$$

Quantity A

(x+1)@

Quantity B

$$x^{2}$$


If a#b=$$\frac{a}{b}-\frac{b}{a}$$, which of the following must be true?

Indicate all such statements.


Quantity A

c@3, where c > 3

Quantity B

3


In the xy-plane, line m can be represented by y=kx+b. If x is increased by 1, then y will be increased by 4. Which of the following could be the representation of line m?

Indicate all such expressions.
In the xy-plane, line m passes through (0, b) and (3b, 0), where b≠0

Quantity A

The slope of the line m

Quantity B

-$$\frac{1}{2}$$


Line I passes through point A (5,4) and the origin.

Quantity A

The slope of line L

Quantity B

$$\frac{4}{5}$$


In the xy-plane, (0, 0) and (4, b) is on the line m.

Quantity A

The slope of the line m

Quantity B

$$\frac{1}{2}$$


The x-intercept of line l is -2/3,and the y-intercept of line l is $$\frac{3}{4}$$.

Quantity A

The slope of the line l

Quantity B

$$\frac{10}{9}$$


In the xy-plane,the slope of line l is 1/2.

Quantity A

The slope of line m that is perpendicular with line l

Quantity B

-1


In the xy-plane,point A(3,x) and B(9,2) are on the line m. If the slope of line m is -$$\frac{10}{3}$$,what is the value of x?
g(x)=2h(x),and x-intercept of h(x)is 3, what is x-intercept of g(x)?
The slope of line I is 2 and its x-intercept is positive. Which of the following line MUST have an intersection with line I above the x-axis?

Indicate all such items.

Quantity A

The distance between the origin and (x, y)

Quantity B

The distance between the origin and(1-x,1-y)


In the xy-plane,point A(2,1) is on the circle with center O(-2,-1).What is the circumference of the circle?

Give your answer to the nearest 0.1.

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