Answer: 1/5
Step-by-step explanation: just subtract and borrow. You got this!
The answer would be "B". A seems to be a "hypothesis". C is an axiom and D is a definition. I hope this was helpful.
Answer:
Step-by-step explanation:
66.00 x 1.0825 = 71.445 rounded to $71.45
You take 8.25% and divide it by 100 which will give you 0.0825 by adding a 1 this will get you the sales tax and original amount.
The critical values of the function are x = 0 and x = 64
The critical values of a function f(x) are the values of x for which f'(x) = 0.
Given,
f(x) = ![\frac{x^{4} }{5(x-8)^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B4%7D%20%7D%7B5%28x-8%29%5E%7B2%7D%20%7D)
The derivative is found as follows, applying the quotient rule:
f'(x) = ![\frac{[5(x^{4} )(x-8)^{2}-5x^{4} [(x-8)^{2} ]' }{[5(x-8)^{2} ]^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5B5%28x%5E%7B4%7D%20%29%28x-8%29%5E%7B2%7D-5x%5E%7B4%7D%20%5B%28x-8%29%5E%7B2%7D%20%5D%27%20%7D%7B%5B5%28x-8%29%5E%7B2%7D%20%5D%5E%7B2%7D%20%20%7D)
= ![\frac{2x^{3}(x-64) }{5(x-8)^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B3%7D%28x-64%29%20%7D%7B5%28x-8%29%5E%7B3%7D%20%7D)
The zeros of the function are the zeros of the numerator, thus:
![2x^{3} (x-64) =0\\2x^{3} =0-------- > x =0\\](https://tex.z-dn.net/?f=2x%5E%7B3%7D%20%28x-64%29%20%3D0%5C%5C2x%5E%7B3%7D%20%3D0--------%20%3E%20x%20%3D0%5C%5C)
x - 64 = 0------------->x = 64
The critical values are x = 0 and x = 64
Learn more about critical values here:brainly.com/question/12958088
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You take 43 and subtract 12 to get 31, then take 31 to subtract 17 to get 14
The answer is A