Answer:
The interval of increase of g(x) is
.
Step-by-step explanation:
The interval of increase occurs when first derivative of given function brings positive values. Let be
, the first derivative of the function is:


The following condition must be met to define the interval of increase:

The first term is always position due to the quadratic form, the second one is a first order polynomial and it is known that positive value is a product of two positive or negative values. Then, the second form must satisfy this:

The solution to this inequation is:

Now, the solution to this expression in interval notation is: 
Decimal Form:
4.59375<span>
</span>
Exact Form:
<span>147/32</span><span>
</span>Mixed Number Form: <span>4 19/32</span>
The answer is a. $35. First you multiply 25 by .40. Then you add the product to 25.
Answer:
easy its c
Step-by-step explanation:
so you do you start with the left 2 to the third power is 8
then the right side now is -3 to the second power is -9
in total 8- (9-)
so your answer is -1
hope this helps
Answer:
The half-life of the radioactive substance is 135.9 hours.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at time t
This means that the amount of the substance can be modeled by the following differential equation:

Which has the following solution:

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.
After 6 hours the mass had decreased by 3%.
This means that
. We use this to find r.







So

Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So







The half-life of the radioactive substance is 135.9 hours.