100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days
3x195=585 Hope this helped! :)
It looks like the differential equation is
Factorize the right side by grouping.
Now we can separate variables as
Integrate both sides.
You could go on to solve for 
explicitly as a function of 
, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.
The interval for the function to be negative will be (-∞<x<-7).
<h3>What is a function?</h3>
A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here we have a function:-
g(x) = ∛(x+6)
If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-
(-∞<x<-7).
Therefore interval for the function to be negative will be (-∞<x<-7).
To know more about function follow
brainly.com/question/2833285
#SPJ1
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
