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Nikitich [7]
4 years ago
13

-k - (-8k) combining like terms with negative coefficients

Mathematics
1 answer:
Paraphin [41]4 years ago
5 0

Answer:

7k

Step-by-step explanation:

Note that - (- 8k) = + 8k

Given

- k - (- 8k)

= - k + 8k

= 7k

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Why the systems must have the same solution?system(a)4x-5y=13.....3x+6y=11........system(b) 8x-10y=26.....x-11y=2.........AKA QU
Y_Kistochka [10]
When you add the equations in (a) you get 7x+y=24.

When you subtract the equations in (b) you also get 7x+y=24.

That means to solve both systems you can work with the same equation. However that is not enough. We must have two equivalent equations. We found only one.

Notice however that in the (b) we can take the first equation and divide every term by 2. When we do this we get 4x-5y=13. That’s the first equation in (a).

So both systems can be solved by working with the same two equations. These are 5x-5y=13 and 7x+y=24. And since we have two equations and two unknowns (the number of equations matches the number of variables) there is only one solution — one x and y that would make both systems true — solve both systems.

Basically we showed the systems are equivalent!
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mixas84 [53]

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Step-by-step explanation:

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3 years ago
Determine between which consecutive integers the real zeros of f(x)=x^3-3x+1 are located
nevsk [136]

Hello from MrBillDoesMath!

Answer:

See Discussion section below for details

Root 1:  -2, -1

Root 2: 0, 1

Root 3: 1, 2

Discussion:

From the attached plot, the the real zeroes are approximately

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-2 < -1.8 < -1

0 < 0.3  < 1

1  < 1.5  < 2

The consecutive integers are shown in bold face

Out of curiosity, it's now 11:38am PST. Did you write the question from a public school room, a school computer lab,  or are you home tutored?

Thank you,

MrB

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Step-by-step explanation:

its the only one that makes sense

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