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The number of 3 mile 'sets' that he runs  is    24/3 = 8 'sets'   or 8 bottles of sports drink.

8 bottles  x  $1.25 / bottle = $10.00

B(m) = m/3       ...this means...     number of bottles  =  m / 3

C(b) = 1.25b     ...this means...     cost  =  1.25( number of bottles )

So...   cost  =  1.25( m / 3 )

cost   =   1.25( 24 / 3 )   =   1.25( 8 )   =   10

Thanks a lot 

Note that  we can express this as

⁵√ [ (-3) (-3) (-3) (-3) (-3) ]   =   

- 3

Glad you found the problem, Melody....!!!

She gets  .06 s   as a base.....this month 's' increases to 1.2 s    

.06(1.2s) = .072s

volume of cylinder   =   π (radius)² (height)

radius of the cylinder  =  3 + t      and      height of the cylinder  =  10 + t      so...

volume of cylinder   =   π (3 + t)² (10 + t)

volume of cylinder   =   π (3 + t)(3 + t)(10 + t)

volume of cylinder   =   π ( t³ + 16t² + 69t + 90 )

volume of cylinder   =   πt³ + 16πt² + 69πt + 90π

2) Alex thinks 131 degrees are neat. What is the maximum number of interior angles of a convex n-gon that can have measure 131 degrees?

I'm less sure about this one....but.....based on this figure.....I  get  a   max of 6 angles that measure 131°

1) In concave equilateral pentagon ABCDE, Angle A is qual to Angle B is equal to 90 degrees. What is the degree measure of angle E?

I believe we have something like this  :

Angle A  =  B   = 90°   and the pentagon is equilateral

If we connected  EC, triangle  DEC is equilateral.....so angle DEC  = 60°

And angle AEC  =  90°

And angle AED  =  AEC - DEC  =  90°  -  60°   =  30°  =  angle  E

g( f(x) )   =   1 / ( log x - 7 )

There are two things that we need to consider.

Since  log x  is part of the function, we have the restriction  x > 0 .

Since  log x - 7  is in a denominator, we have the restriction  log x - 7 ≠ 0 .

log x  ≠  7

x  ≠  10⁷

x  ≠  10 000 000

So the domain is all real  x  values such that  x > 0  and  x  ≠  10 000 000

1/x  +  1/y   =   1/7

[ x + y ] /  [xy]  =  1/7

7x +  7y   =  xy

7y -  xy   = -  7x

y [ 7  -  x ]  =  - 7x

y  =   [  7x ]  /  [ x -  7  ]

Note that  as  x ⇒  ±inf,  y ⇒  7      

y will  be an integer  when

x  =  -42    y   =   6   

{no need to  test  any  x  values less than this since y will be < 7}

x  =   6      y  =  - 42

x =   8       y  =    56

x  =  14     y  =   14

x =  56      y  =   8 

{no need to test any x values more than this since y will be > 7}

Sustitute x = 0 in to the equation to fin y axis intercept

4(0) + 5y = 20

y = 4      = y axis intercept

Sub y=0 for x axis intercept

4x +5(0) = 20

x =5     = x axis intercept

4x+5y =20        subtract 4x from both sides

5y = -4x + 20    Divide both side by 5

y = -4/5 x + 4    = y=mx+b slope intercept form

I need more help

Substitute   x = 0  in to the equation for the y axis intercept

Sub             y=0                                            x axis intercept

re-arrange the equation into  y = mx+b    form for  slope intercept form.....

   OK?   Need more hints?

Thanks, EP.........

183144246353322528363047                    113  

__________________________    =          ___ 

999999999999999999999999                    617

113/617  ?

Thanks, EP.....the parent function  is   y  = x

So.....x + y  = 3  ⇒     y  =  -x  +  3    

So.......this graph  reflects the parent function  across the x axis and  shifts it up 3 units

f(x)  =  [ x^2  -  25 ] / [ x + 5 ]  =  [ (x + 5) ( x- 5)]  / [ x + 5 ]  =  x - 5

This will be the graph of  f(x) =   x - 5  with a  "hole"  at   x  =  - 5

So.....the last graph is correct

y axis intercept happens when x= 0    substitute x= 0 in to the equation

   0 +y = 3      y= 3  is y axis intercept

x axis intercept is when y= 0

  x+ 0 = 3     x = 3  = x axis intercept

slope intercept form is y = mx + b       m= slope   b = intercept

x+y = 3

y = (-1)x + 3      is the slope intercept form

Add them all together and they should add up to 180 degrees

x + 2y  +  6x - 5y   +  5x +3y = 180

12x=180

x= 15

I think I have found the problem!  Well maybe anyway,

I had a  'Tex all things' extension on my Google Chrome browser.

I went looking for it when I realised that normal articles were being interpreted as LaTex!

Heavens only knows why that was there, but I am already thinking about how I might make use of it in the future!

I Have disabled it and I think/hope the problem is solved!       

With a dilation center at the origin, we  can  find the scale factor from the ratio  of  any image  coordinate to its pre- image coordinate

So.....using the x coordinate  of  A'  and A   we have

-3.75 / - 5    =    3.75 / 5  =    [ 3 * 1.25 ]  / [ 4 * 1.25 ]   =    3/4  =  scale factor