Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that

to find the critical points you equal the first derivative to 0 and get that

To find if they are maximums or local minimums you use the second derivative.

since
is neither an inflection point, and since
then 1/4 is a maximum.
Answer:
20 students
Step-by-step explanation:
If the class decreased by 15%, the students that she has now (17) represents a percentaje of:
100% - 15% = 85%
so<u> the 17 students are 85% of what she had</u>:
Students Percentage
17 ⇒ 85%
and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:
Students Percentage
17 ⇒ 85%
x ⇒ 100%
and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):
x = 17*100/85
x = 1700/85
x=20
2 years ago she had 20 students
Let u be the set of all words containing 7 letters(26 letters to the power 7)
Answer:
if thisa is a triangle then 180-30+30 = 120 degree and we say all angles on a triangle add up to 180
Then reaply the rule changing 180 to 360 on all 4 sided shapes
180(n-2) to all other shapes.
ie) pentagon 180(n-2) = 540
continue with 540-30-30 = 480 etc....
Step-by-step explanation:
The formula for finding the volume of a cube is

, where s is the side length.
The formula for a cube with each side length doubled is

, or 8<span>s.
</span><span>If all the dimensions of a cube are doubled, then the new volume is
eight times greater.</span>