Answer:
Step-by-step explanation:
We normally think of the ordered pairs as ...
(x, y) = (x, -∛x)
Another way to think about them is ...
(x, y) = (-y³, y)
I find it a little easier to think about the cube of a number, rather than its cube root.
For the y-values given, -2, -1, 0, 2, the points that will be on the graph are ...
(8, -2), (1, -1), (0, 0), (-8, 2)
The first three of these points are listed in your answer choices.
Answer:
Volume = cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is
Rearranging the above equation, we get -
Volume of box is equal to product of base area of box and the height of the box -
Substituting the given area we get -
For maximum volume
Volume of the box
=
= cubic centimeter
Answer:
see explanation
Step-by-step explanation:
The figure shown has one pair of parallel sides and is a trapezium
The area (A) of a trapezium is calculated using
A = h(a + b)
where h is the height and a, b the length of the parallel sides
here h = 2w, a = w + 3 and b = 4w - 2, hence
A = × 2w(w + 3 + 4w - 2)
= w(5w + 1) = 5w² + w