CPhill

Happy Birthday, Rosala..........!!!!!!!

2/4 = sin (theta)         ..... 2/4 = 1/2.....

1/2 = sin(theta)      use the sine inverse to find theta

arcsin (1/2)   = theta  = 30°  or , in radians,  pi/6

{2-9[2+(3+1/2)^2]}-4  =

{ 2  - 9 [ 2 + (7/2)^2]} - 4  =

{ 2 - 9 [2 + 49/4) ] } - 4 =

{2 - 9 [ 57/4] } - 4 =

{ 2 - 513/4} - 4  =

{ 8/4 - 513/4 }  - 4  =

-505/4 - 4  =

-505/4 - 16/4  =

-521/4  =  - [ 130 + 1/4 ]

(x+2)^2+y^2

The center would be (-2, 0)

Unfortunately, we need an equation to determine the radius  [ i.e., an equal sign and a number appended to what you have]

(1)   floor [  (2 - 3x) / ( x + 5) ]

Note     f(1) = -1    and f(1000)   = -3

f(1) = -1  

f(2) = -1

f(3)  = -1

f(4)  = - 2

Now, we need to find out where the function  =  exactly  -2

Solving this

[  (2 - 3x) / ( x + 5) ]  = -2, we have   x = 12

So.....from f(4) to f(12), the function takes  on a  floor value of -2  for each successive integer value of x

And from f(13) to f(1000)  the function takes on a floor value of -3  for each successive integer value of x

So

f(1) + f(2) + f(3) + ... + f(999) + f(1000)   =

3(-1) + 9(-2) + 988(-3)  = 

-2985

2x-3+3x-2=90  combine like terms on the left

5x - 5  = 90      add 5 to each sides

5x  = 95          divide both sides by 5

x = 19

To determine the number of rows, we have :

Length of the seating area / length of each row  = 

[35 + 3/4] / [3 + 1/4 ] =

[143/4] / [ 13/4]  =

143 / 13 =  

11 rows

Since [ 3 + 2 ] = 5 students sit in each row........the number of children that the bus can carry =  11 * 5  =  55 students

Rosey, I could givie you the answers, but you wouldn't learn anything.....here's a simple-to-understand tutorial :

http://www.mathsisfun.com/numbers/scientific-notation.html

Try a few of your questions yourself and see how you do........there is a calculator on the above page that lets you check your answers.......

The slope is the "m" in   y = mx + b

So.......

y = -3x + 2       means that the slope  = " - 3"