Answer:
Step-by-step explanation:
The given system is
3x-2y=6
0.4(20y+15)=x
The slope intercept form is y=mx+c.
For the first equation, 3x-2y=6, we add -3x to both side -2y=-3x+6
For 0.4(20y+15)=x, we expand to get:
Divide through by 8
Therefore the system in slope-intercept form is:
Answer:
375 gallons in 25 minutes
Step-by-step explanation:
first decide how many gallons in one minute
300/20 = 15 gallons in one minute
next multiply 15 x 25 minutes. You get 375 gallons in 25 minutes
__-____-1,58____+_____0_______-__1,58_____+____>x
Locol max: 0
I assume the cone has equation (i.e. the upper half of the infinite cone given by ). Take
The volume of the described region (call it ) is
The limits on and should be obvious. The lower limit on is obtained by first determining the intersection of the cone and sphere lies in the cylinder . The distance between the central axis of the cone and this intersection is 1. The sphere has radius . Then satisfies
(I've added a picture to better demonstrate this)
Computing the integral is trivial. We have
3/8 and 3/16 i might be wrong