Answer:
Ratio of sweaters to dresses = 8 : 5
Sum of ratios = 13
Let number of sweater + dresses = x
<h3>
Answer: Yes, it is a function</h3>
This is a function because there are no x values that repeat.
If we had repeated x values, then this would mean a certain input x leads to multiple outputs y, and that would not make it a function.
For instance, if we had (2,1) and (2,2) at the same time, then the input x = 2 leads to multiple outputs y = 1 and y = 2 at the same time. A function would not be possible in this example.
A function is only possible if any input x leads to exactly one output y. It is possible for y to repeat itself and still have a function.
There will be 9 trips the ferry makes and on the last trip there will be 5 cars on the ferry.
The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
