9514 1404 393
Answer:
B. 3
Step-by-step explanation:
If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.
dy/dx = 3 at x = 4
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The derivative of the expression can be found from the quotient formula:
d(u/v) = (du·v -u·dv)/v²
y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2
= (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2
= (x^2 -4x +12)/(x -2)^2
= ((x -4)x +12)/(x -2)^2
Then for x=4, we have ...
y' = 12/4 = 3
dy/dx = 3 at x = 4
Answer:
C. When it was purchased (year 0), the coin was worth $6.
Step-by-step explanation:
The y-intercept is 6, indicating the value of the rare coin was 6 in year zero.
20% of 2100 is 420
So the tax is $420
Then 2100-420= 1680
So he has $1680 left after paying the tax.
Ok so area=pir^2
2 circles with same area=2pir^2
circle with 2 times radius=pi(2r)^2=pi4r^2=4pir^2
is 2 circles with same area equal to circle with 2 times radius?
is 2pir^2=4pir^2?
is 2=4?
no
therfor the answer is no
it is because the radius is squaered so the doubled gets doubled makng it quadrupuled when the first one only gets doubled
True, -4 seems bigger because 4 is bigger than 3 but it's negative and is further away from 0
