Common figures with only rotational symmetry are the recycling sign and fan blades. If a figure coincides with the original twice in one full turn, it has two-fold rotational symmetry, or rotational symmetry order two. ... The square, for example, has four-fold rotational symmetry.
![\bf f(x)=(x-6)e^{-3x}\\\\ -----------------------------\\\\ \cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)] \\\\\\ \cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%28x-6%29e%5E%7B-3x%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3D1%5Ccdot%20e%5E%7B-3x%7D%2B%28x-6%29-3e%5E%7B-3x%7D%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%5B1-3%28x-6%29%5D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%2819-3x%29%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Ccfrac%7B19-3x%7D%7Be%5E%7B3x%7D%7D)
set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there
there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
18x = 162
18 eggs per x cartons is 162
x = 9 cartons
Answer:
No, this is not the correct amount.
Step-by-step explanation:
Assuming this purchase is being made in the USA, the average federal tax rate on purchased goods is between 2.9% and 7.25% of the price. Let's be generous and assume that wherever you're making this purchase, the sales tax is 7.25%.
7.25% of 11 = .7975, or .80 cents. Add that to 11 to get $11.80.
The extra 91 cents tax is around 12.09% tax which is a lot higher than normal. You're being ripped off!
6/y + 1/4 = 5/(4y)
(6*4)/(4*y) + (1*y)/(4*y) = 5/(4y)
24/(4y) + y/(4y) = 5/(4y)
4y≠0 <-->y≠0
24+y=5
y = 5-24
y = -19
