题目列表

题目内容
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.
The operation @ is defined for all numbers $$x$$ and $$y$$ by the equation $$x@y=x^2+y$$.

Quantity A

($$\frac{2}{3}$$@$$\frac{2}{3}$$)@$$\frac{2}{3}$$

Quantity B

$$\frac{2}{3}$$@($$\frac{2}{3}$$@$$\frac{2}{3}$$)


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




Quantity A

4@(2@9)

Quantity B

(4@2)@9


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


If the x-intercept of line l is -4,and the y-intercept of line l is 3,what is the slope of line l?

Give your answer as a fraction.
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.
A line in the xy-plane has the equation $$y=mx+6$$, where $$m$$ is a constant and $$3 \leq m \leq 4$$. Which of the following could be the x-intercept of the line?

Indicate all such values.

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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