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2 years ago

Graph the solution c-12>-16

Mathematics

1 answer:

timofeeve [1]2 years ago

7 0

Answer:

c-12>-16

+12

C > - 4

So, c is greater than - 4.

Draw a number line. (Pick starting point of your choice. I. E. - 6 to 4)

Draw a circle at - 4.

Draw a horizontal line from the circle at - 4 to 2, for example.

Draw an arrow head on the line.

(BTW the arrow head & horizontal line can exceed 2 if you want it to; as long as your showing clearly C can be any number greater than - 4, with arrow pointing to the right as shown below)

o--------------------->

o---------------------> -4 - 3 - 2 - 1 0 1 2

Hope this helps!

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Answer:

The system of equations representing the situation are

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with solutions

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Step-by-step explanation:

Let us call $a$ the number of associates and $p$ the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

$600a+1200p = 15,000$ .

Since the law firm assigned at total of 16 lawyers, we have

$a+p = 16$ .

Thus, the system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

And the solution to this system is found by solving for $a$ in the second equation and substituting its value in the first equation:

$a = 16-p$

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$9600+600p=15,000$

$600p=5400$

$\boxed{ p=9}$

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$a+9=16$

$\boxed{a = 7}$

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