S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00
Odd numbers are not divisible by 2. Only even numbers are visible by 2. Such as, 4,6,8.
Multiples of 10 do always end in 0.
& i'm not so sure about the last one.
Answer:
a. 8,953.5 seconds
b. 14,400 seconds (check note)
Step-by-step explanation:
a.
y=-4x
y=-35814 (negative because this is underwater)
-35814=-4x
8953.5
The model suggests it would take 8,953.5 seconds for DeepSea Challenger to reach the bottom (2.487083333 hours, or about 2 hours and 30 minutes).
b.
y=4x
x=3600 (positive because the vessel is rising)
4(3600)
14400
It took 14,400 seconds for the DeepSea Challenger to ascend to the surface.
[also note: I'm not sure if the second question is asking for how many seconds it takes to ascend to the surface with reference to the 4 seconds in the previous question (which is how I answered part b) or if it's asking how many seconds 1 hour is, and in that case. the answer is 3,600 seconds. I hope this helps and sorry if it's unclear!]
Answer:
perpendicular
Step-by-step explanation:
They will intersect at a 90 degree angle as x= is vertical and y= is horizontal
C, 51 because acute angles are less than 90° but together the angles create a right triangle which is 90°.
