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Let's call the number of wins  " W ", and the number of losses  " L ".

There are  96  games altogether, so....       W + L  =  96

The number of wins is 15 more than twice the number of losses, so....     W  =  15 + 2L

W + L  =  96

                                      We can substitute  15 + 2L  in for  W  since  W  =  15 + 2L .

15 + 2L + L  =  96

                                      Subtract  15  from both sides.

2L + L  =  96 - 15

                                      Combine like terms.

3L  =  81

                                      Divide both sides by  3 .

L  =  27

They lost  27  of the games.

Remember, there are 96 games total...   W + L  =  96   →  W  =  96 - L  =  96 - 27  =  69

They won  69  of the games.

a whole lot of pie 

Is the "x" a multiplication symbol, or is t 5xy?

LOL!!!!......I often do that, too....!!!!!

omg i was over thinking it

Answered here :

http://web2.0calc.com/questions/math-help-pls_2

Not that hard, ISG........  

If the dog eats 7cans of food in 3 days....he eats

7 cans / 3 days  =   (7/3) cans each day 

So in  3 + d   days.....he eats.......  7 + (7/3)d     cans    [ answer K ]

To get a feel for this...........  let d  = 3

So  he eats   7 cans the first 3 days +  (7/3)(3)  =    7 + 7  =  14 cans in a total of 6 days

(9*10^9)*(1.6*10^-19)^2/(1.0*10^-15)^2 =

[9 * 1.6^2 * 1^2)  ( 10^9 * 10^[(-19)*2] * 10^[15*2] )  =

(23.04) (10^9 * 10^-38 * 10^30 )  =

23.04 * 10  =

230.4

 WolframAlpha  verifies this :

https://www.wolframalpha.com/input/?i=(9*10%5E9)*(1.6*10%5E-19)%5E2%2F(1.0*10%5E-15)%5E2

Notice  that the   difference in the x coordinates of the two points  =  14 - 6  = 8

So......(1/4)  of this = 2

Adding this to the x coordinate of (6,4) , we have the x coordinate of D  = 6+2 = 8

And  the   difference in the y coordinates  =  12 - 4  = 8

So......(1/4)  of this = 2

Adding this to the y coordinate of (6,4) , we have the y coordinate of D  = 4+2 = 6

So......D  =  (8, 6)

We have that

(-3)^2 + m(-3) + n  = 0

9  - 3m + n  = 0      →     n =   3m - 9       (1)

If x = -3 is the only possible solution...we only have one root...so......the discriminant must  = 0

So

m^2  -  4n  = 0     sub (1)  into this

m^2 - 4 [ 3m - 9 ]  = 0   simplify

m^2 - 12m + 36  =  0       factor

(m - 6)^2  = 0

Which implies that  m  = 6

And n  = 3(6) - 9  = 9

So....our function is   x^2 + 6x + 9 = 0

Check to see that  x = -3  is the only root

Domain......she could get anywhere from 0 rolls to 10 rolls

So.....the domain  is [ 0 , 10 ]

And subbing these into the function, the range is

[ 26, 426 ]

Melody made a small typo....

"h"  =   -2

Depends on the accent but this pronounciation is good.

I'll do the first one....you can try the second

 (-4, 3) and (2,-7)

Find the slope  

[ subtract the y coordinates in some order]            [-7 -3]         -10      -5

____________________________________ =   ______  =    __ =   __

[subtract the x coordinates in the same order]       [2 - -4 ]         6        3 

Using the slope   and either point - I'll use (2, -7) -  we have

y  =  slope ( x -  x coordinate of point)  +  y coordinate of point

y =  (-5/3) ( x - 2)  -  7  simplify

y = (-5/3)x + 10/3  - 7

y = (-5/3)x + 10/3 - 21/3

y = (-5/3)x - 11/3

Here's the graph :   https://www.desmos.com/calculator/rjqsgifzrv

If we express x^2+4x+5 in the form a(x-h)^2+k then what is h. 

\(x^2+4x+5\\ =x^2+4x+4+1\\ =(x-(-2))^2+1\)

edited:

Thanks Chris, yes    h = -2

 3x^2 - 24x + 72      factor out  the 3

3 [ x^2  -  8x  +  24 ]

Take 1/2 of 8  = 4........square it =  16....add and subtract it

3 [ x^2 - 8x + 16 +  24 - 16 ]

Factor the first three terms and simplify

3 [ ( x - 4)^2 + 8 ]

3 (x - 4)^2  + 24

a + b + c  =

3 + (-4) + 24  =

-1 + 24

23

13. You would have 13.

-8–4r < -4     add 8 to both sides

-4r <  4       divide both sides by -4....reverse the inequality sign

r >  -1

1–3u >  10         subtract 1 from both sides

-3u >  9           

Divide both sides by -3   and, since we're dividing by a negative, reverse the inequality sign

u < -3