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Mrac [35]
3 years ago
6

Helppp lolwhich system of linear equations is represented by the graph?​

Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

<em>y ≥ x - 2, and x + 2y < 4 ; Option C</em>

Step-by-step explanation:

Consider the y - intercept and slope of 1 of these given lines,

y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1

From this we can formulate the equation of 1 line;

Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2

Now consider the y - intercept and slope of the remaining line;

y - intercept = ( 0,  2 ) / 2\\slope = 1 /  - 2 = - \frac{ 1 }{ 2 }

This creates a line with the equation as such;

Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4

From this we see that the solution of the system is such;

<em>Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C</em>

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Una ciudad tenía 8000 habitantes a final del año 2000. Cada año su población se incrementa en un 0.5 %
Digiron [165]

Answer:

The correct answer is 2030.

Step-by-step explanation:

To start we must analyze the information we have.

We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:

(8000 . 0,5) : 100 = 40

Having this information we could do a cross multiplication:

1 year ------- 40 inhabitants

x years ------- 81200

81200 = 40.x

x = 81200 : 40

x = 2030

In this way we can verify that the correct answer is 2030.

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Step-by-step explanation:

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3 years ago
Please help and show work if you can​
laila [671]

Answer:

25. a = 60

26. a = 17

Step-by-step explanation:

In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure

so we have

25.

6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60

and for 26 we have

4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17

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Answer:

Step-by-step explanation:

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5 0
3 years ago
What's the like terms for ; 7(d-1) + 2 , and the answer being simplified?
Lyrx [107]

Answer: Like terms are -7 and 2. Simplified version would be 7d-5.

Step-by-step explanation:

first you would distribute, so it would be 7(d-1)+2 = 7d-7+2. Combine like terms. The only like terms here are -7 and 2, so just basically subtract -7 from 2 and you would get -5. you can't do anything with 7d because there is no like term for it.

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