Answer:
option A.
Step-by-step explanation:
To solve this, we need to use the following exponent rules:
Quotient rule: (a^n)/(a^m) = a^(n-m)
Power rule: (a^n)^m = a^nm
Power of a product rule: (ab)^n = (a^n)(b^n)
Then, we have the following expressions:
![[\frac{a^{-8}b}{a^{-5} b^{3}}}]^{-3}=[a^{-8+5}b^{1-3}}}]^{-3}=[a^{-3}b^{-2}]^{-3} =a^{9}b^{6}](https://tex.z-dn.net/?f=%5B%5Cfrac%7Ba%5E%7B-8%7Db%7D%7Ba%5E%7B-5%7D%20b%5E%7B3%7D%7D%7D%5D%5E%7B-3%7D%3D%5Ba%5E%7B-8%2B5%7Db%5E%7B1-3%7D%7D%7D%5D%5E%7B-3%7D%3D%5Ba%5E%7B-3%7Db%5E%7B-2%7D%5D%5E%7B-3%7D%20%3Da%5E%7B9%7Db%5E%7B6%7D)
So the correct result is option A.
Using the profit concept, we have that:
- The expression is: P(x) = -0.5x² + 40x - 300.
- A profit of $300 is found with x = 20 and x = 60.
<h3>What is the profit concept?</h3>
Profit is given by <u>revenue subtracted by costs</u>.
In this problem, we have that:
- The revenue is: R(x) = 90x - 0.5x².
- The costs are: C(x) = 50x + 300.
Hence the expression for the profit is given as follows:
P(x) = R(x) - C(x)
P(x) = 90x - 0.5x² - 50x - 300
P(x) = -0.5x² + 40x - 300.
A profit of $300 is found when P(x) = 300, hence:
300 = -0.5x² + 40x - 300
0.5x² - 40x + 600 = 0.
x² - 80x + 1200 = 0.
(x - 60)(x - 20) = 0.
Hence the values are:
More can be learned about the profit concept at brainly.com/question/4001746
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Answer:
-4
Step-by-step explanation:
X=0+y6x−5y=23
6x=23+5yx=23+5y6
now sub x=23+5y6in x=0+ywe get23+5y6=0+ymultiple both side of the equation by 6..we get23+5y=6ynow we solve for y..23=6y−5yy=23now since we find y...we can find x..by by substituting y=23 in the 1st or 2nd equation...so, using equation 1x=0+yx=0+23x=23
Hopefully this helps :)
