In your question where to explain how the raising a quotient to power is similar to raising a product to a power. Form me the best explanation to this statement is because the variable with a exponent of positive is equals to its exponent over its variable.
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Answer:
x = 7
Step-by-step explanation:
The segment marked 6x is the midline of the triangle, so is half the length of the base.
6x = 1/2(84)
x = 42/6 = 7
The value of x is 7.
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➷ x=-4
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DOGE
<span><u><em>Answer:</em></u>
Kevin made $800 in commissions last week.
<u><em>Explanation:</em></u>
Since we know that he only makes money in two ways, by base salary and commission, we know that added together they equal his whole pay.
<u>Therefore we can set up the following equation and solve for his commission amount. </u>
Total Pay = Base Pay + Commissions.
1125 = 325 + Commissions.
800 = Comissions. </span>
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.

Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.