Answer:
C.) False, counterexample of 15
1) 15 is divisible by 3 but not by 6
we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3
BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6
2) 12= 3*4 & 6*2
SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'
1. V = x (12 - 2x) (8 - 2x)
The zeros are 0, 6, and 4
2. dV/dx = x(12 - 2x)(-2) + (8 - 2x)(12-4x) = 0
x = 4.9
3. If V = 12 = x (12 - 2x) (8 - 2x)
x = 0.13, 3.65, 6.22
4. If we increase the dimensions of the cutout until 4.9, the volume will also increase, after that, the volume will decrease.
5. V = x (q - 2x) (p - 2x)
Answer: for -4/3x+4 the y intercept is (0,4) and x is (3,0) the slope is -4/3
for 2/7x+2 the y intercept is (0,2) and the x is (-7,0) the slope is 2/7
Step-by-step explanation:
3 5/6 is the correct answer!