ElectricPavlov

y = k / (sqrtx)       sub in the values to calculate the proportionality constant  'k'

15 = k/(sqrt25)

k =75

3 = 75/(sqrtx)

75/3 = sqrt x

625 = x

From the graph    2009 games won = 10      2011 games won = 22 games

rate of change     (22-10 ) games  / ( 2 years ) = 6 games/yr

Volume of a cone = 1/3 pi r^2 h

70 .5    = 1/3  (5.2 /2)²   h                           solve for 'h' 

70.5 * 3  / ( 5.2/2)² = ___________ cm

x + 3y = -5.        re-arrange

y = - 1/3 x - 5    slope = - 1/3   parallel slope is the same   -1/3

y = - 1/3 x   + b       sub in the given point to calculate 'b'

2 = - 1/3 (-7) + b      so b = -1/3

y = -1/3 x  - 1/3    multiply by 3 to get rid of the fraction

3y = -x -1

x + 3y = -1

-3x-9y= 3             you can finish

period = 1 week

# periods in 5 years = 5 * 52 = 260 periods

interest per period =  .045 / 52

5435.55 =  orig * ( 1 + .045/52)²⁶⁰

orig invest = 4340.80

Find slant height via pythagorean theorem =

    sqrt ( 28^2 + 12^2) = 30.46 cm

slant height *  height * pi = lateral surface area

     30.46   * 28    * pi              and we need 4 of these

30.46 * 28 * pi * 4 = 10718.7  cm^2     = 1.072 m²  

The diagonal through the rectangular prism will be

  sqrt ( 100^2 + 50^2 + 20^2)       and you will need TWO times this distance   = 227.16 meters

C(t)= 0.2t^2 - 10t + 650      if graphed, this is a bowl shaped parabola

    the minimum will occur at   t = - b/2a = - (-10)/(2* .2) = 10/ .4 = 25  cars

Cost of 25 cars will be  :      C (t) = 0.2 (25²) - 10 (25) + 650 = ___________                   you can do the calcs.....

A)   'w' cannot be negative , so the largest area will occur when w = 0        526 m^2    (which is kinda comical having a w = 0 )

Are you sure you have the equation written correctly ????  Please proofread ....because none of these answers make sense!

B)    -2 (20²) + 576 = _____________   (nonsensical answer)

C)    18 144   = - 2 w² + 576       (another nonsensical answer)

Area =  w * l

so the area is :

(𝑡^2−9 / 3𝑡−2) *   ( 15𝑡−10/ 3𝑡−9)  cm^2.           (I assumed you meant  t²   and NOT  t 2 )

(t+3)(t-3)  *    (15t-10) 

     (3t-2)(3)(t-3)                                note that the (t-3) in the numerator and denominator cancel  (t cannot = 3  or 2/3 )

(t+3)  * (15t-10)

  (3)(3t-2)

15t^2 +35t-30      = area                 when t = 1         (15 + 35-30)/(3) =   20 / 3  cm^2

   (3)(3t-2)