Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
Answer:
= (∛(100x))/5
Step-by-step explanation:
Given the expression; ∛(4x/5)
To simplify this we need to make denominator a perfect cube.
So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.
∛(4x/5) = ∛((4x/5)×(25/25))
= ∛(100x/125)
= ∛(100x/5³)
<u>= (∛100x)/5</u>
Answer:
19683
Step-by-step explanation:
As the formula of the geometric sequence:
In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:
Hope this helps!
Answer:
4) 216
5) 216%
6) It's just like the bird's eye view of the tank, exept it's 2d.
Step by step solutions:
4) Draw a cube. Draw another cube but smaller. Label sides of the big cube 6x and the small cube x. Find the volume of each, which are 216x^3 and x^3. Divide (216x^3)/(x^3) and you get 216 times.
5) It wants percentage of big over small, so redraw the diagrams from #4 and instead of x, set x as 2. So the big sides are 12 and the small sides are 2. But you should write the sides as 2*6 and 2. Then, you calculate the volumes: 12^3 = 1728 and 2^3 = 8. Percentage of small tank over big tank would be 8/1728, but we want the opposite. We want something bigger than 1. So, we take the reciprocal and we get 1728/8 % = 216%. All along, the times was the percentage.
6) Draw a cube and draw a cube or a rectangular prism, but be warned, we don't know exactly what shape it is. Hint: just do a cube with a little exagerated side length just in case teacher is bad. OK back to this. Then, draw a line through the cube/rectangle and you get a rectangle-like shape.
