The points of inflection are where the second derivative changes sign. It is the point where the concavity change from upward to downward, or vice versa.
The first derivative is
4(x+3)³
The second derivative is
12(x+3)²
This expression never changes sign. The expression (x+3)⁴ is concave upward everywhere (except x=-3, where it is flat).
There are no points of inflection.
Answer:
<h3>48</h3>
Step-by-step explanation:
Find the change
the change is 63-21=42
42 degrees in 12 hours
we want to find xdegrees/1hour
42/12=3.5 degrees per hour
Answer:
Opposite sides are congruent
Step-by-step explanation:
you can create equations -18 + 7x = 3x + 14 and 13y = 9 + 10y to solve for x and y to find the length of each side and whether they(the two pairs of opposite sides) are congruent or not
Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.