CPhill

Here's my 2 cents worth :

(8/2) * (6 + 3)  =

(4)  * ( 9)   =

36

You have to be a member to post pictures.....nothing shows up, otherwise....!!!  It's easy to register.....!!!!

If you mean  this :   -25/8 - 400  ... we have    -3.125  - 400  = -403.125

If you mean this :  -25/ (8 - 400)  ... we have   -25/-392 = about .0638 

I want to play with this one, too

[x^2 -7x + 6] / [x^2 - 8x + 12]  > 0    factor top and bottom

[(x - 6) (x - 1)] / [ (x - 6) ( x - 2) ]  > 0   Note that this simplifies to :

(x - 1) / ( (x - 2)  > 0      however, we have to be aware that our grpah will have a "hole" at  x = 6

The intervals of interest are (-∞, 1) (1, 2) (2, ∞ )

If you check, the two "outside" intervals make the equation the original eqaution true....again, we have to be aware that the last interval will have the "hole" where x = 6......here's the graph.....

f(x) = x^2  .....   so f(2)  = (2)^2  = 4

I assume that the original cost was $40.96  and the final cost was $ 18.62...the percent discount [on the original cost] is given by :

[Original Cost - Final Cost] / [Original Cost ]  x 100%    so we have

[40.96 - 18.62] / [ 40.96 ] = .5454 x 100% =  54.54%

3 9 10 1 to make 8

10 - √9/3 - 1 =

10 - 3/3 - 1  =

10 - 1  - 1  =

8

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Also

(10 - 9 + 1)³ =

(1 + 1)³  =

(2)³ =

8

We have....

M + W   = 110     →  M = 110 - W  .... and we know that

[(110 -W) - (3/7)(110 -W)]/ [W +40] = 8/11    simplify

[(4/7)(110 - W)] /[W + 40]  = 8/11      multiply both sides by [W + 40]

[(4/7)(110 - W)]  = (8/11)(W + 40]     multiply both sides by  (7/4)

110  - W   = (56/44) (W + 40)  simplify

110 - W  = (14/11)(W + 40)     multiply both sides by 11

1210 - 11W  = 14(W + 40) 

1210 -11W = 14W + 560

1210 - 560 = 25W

650  = 25W     didived both sides by 25

W = 26 women in the hall originally

Check......

[(4/7)(110 - 26)] / [ 26 + 40]  =    

(4/7)(84) / 66  =

48/66  =  8/11

The graph of x = 2 is  a vertical line that goes through the x axis at the point (2, 0)  ....the slope is undefined.....to see why......take two points on this line, say, (2, 0) and (2,  1)..............note that the slope is: [1 - 0]/[2 - 2]   = 1/0    but, since we can't divide by 0, the slope is, by definition, undefined.  Also, this line never intersects the y axis, so there is no y intercept.

The line y = 3 is a horizontal line that interesects the y axis at (0, 3). Since a horizontal line neither rises nor falls, its slope is 0.  Three ordered pairs on this line are (0, 3) (1 ,3) and (2.3)....note that the y values are all the same.....only the x values change !!!