Answer:
Step-by-step explanation:
Answer:
the answer is f(x) = 6x + 1/6
Step-by-step explanation:
the g(x) ones y intercept is : 0,-6
the -6k(x) ones y intercept is : 0 , -6
the f ( x) ones y inetrcept is ; 0 , 1/6
the h (x) ones y intercept is : 0 , 6
Given:
The point, (4, -3)
The line,

To find an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the given line:
The slope of the line is,

Since the given line is parallel to the new line, so the slope will be same for the both.
Using the point-slope formula,

Substitute the point and slope we get,

Hence, the equation in slope-intercept form for the line is,
Answer:
(a) V(0) = 50 gal, V(20) = 0 gal
(b)At t= 0 the tank is full.
At t=0 the tank is empty
(c)
Time volume
0 50 gal
5 37.5 gal
10 25 gal
15 12.5 gal
20 0 gal
(d)
Net change of volume = 50 gal
Step-by-step explanation:
Given that the capacity of the tank is 50 gal.
Torricelli's Law gives the volume of water remaining in the tank after t minutes as

(a)
To find V(0), we put t = 0 in the above equation


= 50 gal
To find V(20), we put t =2 0 in the above equation


= 0 gal
(b)
At t= 0 the tank is full.
At t=0 the tank is empty.
(c)
Time V(t)
0 
5 
10 
15 
20 
(d)
Net change of volume = V(0) -V(20)
=(50-0) gal
= 50 gal