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Natali5045456 [20]
3 years ago
8

What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0

Answer:

y = –5x + 3....... 1

y = 1 ..........2

Substitute y = 1 into the first equation

y = –5x + 3

1 = - 5x + 3

-5x = 1-3

- 5x = - 2

Divide both sides by - 2

x = 2/5 or 0.4

x = 0.4 y = 1

The solution to the above system of equations is ( 0.4 , 1)

Hope this helps

Yakvenalex [24]3 years ago
4 0

Answer:

0.4, 1

Step-by-step explanation:

A, The first one

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Answer:

Y=7

Step-by-step explanation:

(3y+5)= -4 -8y +9 + 77

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    3y= -9 - 8y + 9 + 77

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    3y=  -8y + 77

    +8y    +8y

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      11y/11    77/11

        y = 7

1. subtract 5 from both sides

2. add -9 and +9 and you get 0

3. add 8y to both sides

4. divide both sides by 11

5. you get y=7

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Answer:

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Step-by-step explanation:

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What is the square root of 95.54
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Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...

They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..

A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:

x-(f(x)/(df/dx))

In a square root problem you wish to know:

x=√n  where x is the root and n is the number

x^2=n

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(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)

In this case the number, n=95.54, so a decent starting value for x would be 10.

Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.

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The calculator result for my calc is: 9.7744565066299210578124802523381

So you see how accurate the newton method is in just a few iterations. :P


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