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Cloud [144]
3 years ago
9

What is 2/3(1+n)=-1/2n

Mathematics
1 answer:
professor190 [17]3 years ago
4 0

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)=-1/2n

2/3+2/3n=-1/2n

2/3=-1/2n-2/3n

2/3=-3/6n-4/6n

2/3=-7/6n

n=(2/3)/(-7/6)

n=(2/3)(-6/7)

n=-12/21

simplify

n=-4/7

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Find two positive numbers whose product is 81 and whose sum is a minimum.
hammer [34]
Ab=81, a=81/b

s=a+b using a from above in this we get:

s(b)=81/b +b

s(b)=(81+b^2)/b

ds/db=(2b*b-81-b^2)/b^2

ds/db=(2b^2-81-b^2)/b^2

ds/db=(b^2-81)/b^2

d2s/db2=(2b^3-2b^3+81)/b^4

d2s/db2=81/b^4 since b is positive we know that the acceleration is positive so that when ds/db=0 it is a minimum for s(b)

ds/db=0 only when b^2-81=0, b^2=81, b=9

The two positive numbers are 9 and 9.


3 0
4 years ago
Triangle RST is the pre-image of triangle UVW with a scale factor of 3. Find the area of triangle UVW if the area of triangle RS
Afina-wow [57]
A. (Area of triangle UVW)/(Area of triangle RST)=3^2=9
B. Substitute Area of triangle RST=9 into the equation above.

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4 years ago
Which formula gives the average rate of change of f(x) over the interval [8,12]?
Kruka [31]
I think the answer is C hope this would help you
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As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write an inequal
Svet_ta [14]
First, you would need to create an equation for this problem. Let x represent the number of sales made. 
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Next, you would need to isolate the x. 

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Now, all you would need to do is divide both sides by $3. 
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pantera1 [17]

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3 years ago
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