Answer:
0.785 m
Step-by-step explanation:
(4-2x)(6-2x)x = Volume
Volume = 4x³ - 20x² + 24x
Max volume: dV/dx = 0
dV/dx = 12x² - 40x + 24 = 0
3x² - 8x + 6 = 0
x = 2.54858377, 0.784749563
Max when d²V/dx² < 0
d²V/dx² = 6x - 8
At x = 0.784749563
6x - 8 = -3.29 < 0
There are 3 choices for the pants. Having selected a pair of pants there are 2 choices for a shirt. Therefore there are 3 * 2 possible choices for a pair of pants and a shirt. Each of these 6 possible choices can be combined with each of the 3 possible choices of a pair of shoes. So, the total number of choices of outfit is given by:
Answer:

Step-by-step explanation:

Remove the brackets and multiply the minus sign through all the numbers in the second polynomial

Rearrange in the highest order

Simplify

Answer:
x = <u>12/5</u>
Step-by-step explanation:
Since the original is 10 and the second is 6, that means that the scale is 10:6 or 5:3. It can also be related as %60 of the length.
<u>Step 1: Make an equation</u>
10/6 = 4/x
<u>Step 2: Cross Multiply</u>
10x = 24
<u>Step 3: Divide</u>
10x / 10 = 24 / 10
24/10 = 12/5
x = 2.4