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2 years ago

5x+5=1/2x-4 , what is x

Mathematics

2 answers:

melomori [17]2 years ago

8 0

The answer is x = -2. The steps are in the image below.

Hope this helps!!!!!!!!

Please give me brainliest!!!!!!!!!!!

g100num [7]2 years ago

6 0

First you multiply both equations by 2 from the 1/2x
Then, you get 10x+10=x-8
Next you move the x to the left side from the right
Now you subtract 10 by both sides which is: 10x-x=-8-10
Collect like terms; 9x=-18
Lastly, you divide 9 by both sides and you get
x=-2

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Lady bird [3.3K]

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3 years ago

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

lesantik [10]

Multiply the first equation by -2 gives:_
-2y = -8 + 2x

2y = 8 - 2x

adding these 2 equations:-

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This shows that the 2 equations are equal so there are infinite solutions

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2 years ago

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Zielflug [23.3K]

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
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Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.

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3 years ago

Suppose that a monopolist

daser333 [38]

Answer:

The monopolist's net profit function would be:

$N(y)=198\,y\,-\,2.5\,y^2$

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

$P(y)=200-2y$

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

$I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2$

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

$N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2$

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2 years ago

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sergij07 [2.7K]

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3 years ago

Read 2 more answers