I assume (x-4)3 means (x-4)³. What we wish is to set the derivative equal to zero.
Expanding the T(x) polynomial makes it easier for me to take the derivative.
So (x-4)³ = x³ - 12x² + 48x - 64 + 6
T'(x) = 3x² - 24x + 48
We can factor out a 3 and set this to zero:
x² - 8x + 16 = 0
(x -4)² = 0
x = 4 should therefore represent the turning point.
I am mildly chagrined, I almost used the f'(x) = nx^(n-1) function at first, which appears would have been correct.
Answer:
Step-by-step explanation:
Given that the 2 triangles are congruent based on the Hypotenuse-leg theorem, this implies that:
, and 
Using the expression, , solve for y:
Answer:
Area =100 in^2
Step-by-step explanation:
scale factor of the triangles is :15/21=5/7
if two similar shape has a scale factor a/b then the area is a^2:b^2
area of first shape/area of second shape=5/7
x/196=(5)²/(7)²
49x=4900
x=4900/49=100
area=100
check: 100/196=25/49=a^2/b^2
i hope it is right
Answer: $57,000
Step-by-step explanation:
Understand what is being asked. 1st yr is 9000. Yr 2 is 9000+1200= 10200. Yr 3 =10,200+1200=11,400. Yr 4 is 11,400 +1200=12,600 and Yr 5 is 12600+1200=13,800. Over the course of 5 yrs you are paying 9000+10200+11400+12600+13800 which has a total sum of $57,000.
