Answer:
choice B
g(x) = –(x + 2)5 + 2(x + 2)4 + 1
Answer:
Correct option: fourth one -> 254 cubic inches.
Step-by-step explanation:
The volume of a cylinder is given by the equation:

To calculate the internal volume of the pipe, we should use its internal radius.
The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

Then, using the internal radius in the volume equation, we have that:


So the correct option is the fourth one: Volume is approximately 254 cubic inches.
Sweet? Sweet is a nice word to say to people or about people.
Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
Answer: Triangle A and Triangle C
The x axis is the horizontal flat axis (think of it as the ground). Reflect triangle A over this horizontal line and you end up with triangle C. The same can be said in reverse from C to A.