Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 = ( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
Answer:
The domain of is restricted to
, and the domain of
is restricted to
.
Step-by-step explanation:
From Function Theory we know that domain of a function is the set of values such that an image exist. Let and
the function and its inverse, respectively.
At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.
But domain of its inverse is restricted to every value of x so that , which means that
.
Finally, we concluded that following answer offers the best approximation to our result:
The domain of is restricted to
, and the domain of
is restricted to
.
Answer:
Emily can buy 6 movie tickets after paying the admission fee
Step-by-step explanation:
Let x be the number of movie tickets
If each movie ticket costs 5 dollars then the cost of x movies will be 5x
And the admission fee will be a constant.
She has $40 in total
So the equation can be written as
Hence,
Emily can buy 6 movie tickets after paying the admission fee