Answer:
a(a+3) are the terms which can be cancelled.
Step-by-step explanation:
In this question if we factorize both the expressions then we can get the common factors which can be cancelled.
So first we factorize a²+3a = a( a+3 )
Now the second expression 
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⇒
⇒
⇒
Now it is clear to us that factors a(a+3) are the common factors that can be cancelled.
Answer:
x(15) = 21 lb
Step-by-step explanation:
Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing
dV/dt = 4 - 2 =2gal/min
So, the equation for volume at cetain time t at given conditions and values becomes,
V(t) = 2t + V
V(t) = 2t + 20 gal-------------------euqation (1)
Rate of change in amount of salt = rate of salt in - rate of salt out
dx/dt = {0.5*4} - {[x(t)/V(t)]*2}
dx/dt = 2-2[(x(t))/(2t+20)]
dx/dt = 2-[(x(t))/(v(t))] lb/min
Now, with integrating factor, we get
exp[∫(1/(1+10))dt)] = t+10
the equation becomes
(t + 10)*x' + x = 2*(t+10)
((t+10)*x') = 2*(t+10)
(t+10)*x = t² + 20t + C
As x(0) = 0,
x(t) = (t²+20t)/(t+10)
x(15) = (15²+20*15)/(15+10)
x(15) = 21 lb
49^(3/2)
This is the same as (sqrt49)^3
7^3 = 343
The mixed number of 31/6 is 5 1/6
Hope it helps!
