jakesplace

13  Construct an altitude to Hypotenuse c  and label it CD

14

multiply both sides by  Volume

Mass  =  Density * Volume

Mass  =  4.5g / cm^3   * 0.4 cm^3

The cm^3  cancels....and we're left with

Mass  =   4.5 g  *  0.4   =   1.8 g

The x value of the vertex of the first function is  -8 / (2 * -1)  = 4

And the max  is  -(4)^2 + 8(4) - 15  =  1

The x value of the vertex  of the second function is  -2 / (2 * -1) = 1

And the max is   - (1)^2 + 2(1) - 3  =  - 2

So  Function  1  has the greater max

294√3  cm ^2

x  = 50 / 3

factor the numerator and denominator and cancel the common factors to get 100