Answer:
![\sqrt[n]{x^a}=x^{a/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Ea%7D%3Dx%5E%7Ba%2Fn%7D)
Step-by-step explanation:
While the "law"
![\sqrt[n]{x^n}=x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx)
may seem more applicable, and may seem to be a special case of the law shown in the answer above, it is not true in general. For example, ...

B. I think it’s b but I’m not sure
What you need to do is plug each x value into the equation to find out the corresponding y value.
for example, when x=-2, y=(-2)²+3(-2)+2=4-6+2=0
the outputs are 0, 0, 2, 6, 12
Step-by-step explanation:
first a little help, how they got the equations :
in total they need 15 liters.
so, whatever x and y are, but together they must be 15 L.
x + y = 15
then, we are mixing x liters of 20% alcohol with y liters of 100% alcohol, that have to result in a 40% solution of (x+y) liters :
0.2x + y = 0.4(x+y)
we know from the first equation that x+y = 15, so the second equation is actually
0.2x + y = 0.4 × 15 = 6
so, we have
x + y = 15
0.2x + y = 6
do you notice something ? there is a "+ y" in both equations.
so we can actually subtract the second equation from the first, eliminate y and solve for the remaining x. and then use one of the original equating to get also y :
x + y = 15
- 0.2x + y = 6
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0.8x 0 = 9
0.8x = 9
x = 9/0.8 = 11.25 liters
x + y = 15
11.25 + y = 15
y = 15 - 11.25 = 3.75 liters
Answer: Choice B
If you lower your rates by 6% you will increase the number of occupancies by 12%
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Explanation:
Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price

If the price drops 6% leads to a 12% increase in demand, then we get this elasticity

The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.
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Side notes:
- Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand.
- Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.
- Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.