Distribute the negative:
6x-3-8x-11
Combine like terms:
-2x-14
Simplify by factoring:
-2(x+7)
151.525 round to the nearest cent before answering
Answer:
dV/dt = 40π
Step-by-step explanation:
We are told that The radius r(t) of the base of a cone is increasing at a rate of 10 meters per second. Thus;
dr/dt = 10 m
Height: h = 6 m
Volume of cone is given by the formula;
V = ⅓πr²h
dV/dr = ⅔πrh
We want to find the rate at which the volume is changing at radius of 1m.
Thus;
dV/dt = (dV/dr) × (dr/dt)
dV/dt = ⅔π(1 × 6) × (10)
dV/dt = 40π
The answer is a 5 times 2 1/2 times 1 1/2
We can change the sign of the second term, so that the two parenthesis are the same:

Now, both terms have in common a 3, becase the numeric factors are 3 and 6. If we factor the 3, we have

The parenthesis (a-1) is also in common, so we can factor it as well:

Finally, both terms in the parenthesis contain
, because it's the power of b with the lowest exponent:

So, the factorization is

You can swap the order of the four factors (3, b^2, a-1 and 2b-1) as you like: the multiplication is commutative.