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8090 [49]
3 years ago
12

Which is the solution to the system of equations graphed below?

Mathematics
2 answers:
e-lub [12.9K]3 years ago
7 0

Answer:  B. (2,4)

Step-by-step explanation:

From the given graph it can be seen that the two lines are intersecting at (2,4), therefore  the solution to the system of equations graphed must be (2,4).

Or we can check by elimination method.

The given system :

y = x + 2.......................(1)\\\\y = 3x-2..........................(2)

Subtracting (1) from (2), we get

0=2x-4\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2

Now substitute the value of x in (1), we get

y=2+2=4

Hence, the solution of the given system is (2,4)

MakcuM [25]3 years ago
3 0

Answer:

i think its D or B but im pretty sure its D

Step-by-step explanation:


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Step-by-step explanation:

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A city has a population of 310,000 people. Suppose that each year the population grows by 9%. What will the population be after
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Answer: 644,800

Step-by-step explanation:

This can also be solved using the terms of Arithmetic Progressions.

Let the 13 years be number of terms of the sequences (n)

Therefore ;

T₁₃              = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000

9% of 310,000 = 9/100 x 310,000

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so the common difference (d)

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Now substitute for the values  in the formula above and calculate

T₁₃              = 310,000 + ( 13 - 1 ) x 27,900

                  = 310,000 + 12 x 27,900

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                  = 644,800.

The population after 13 years = 644,800.

 

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3 years ago
Find the x intercept and the y intercept of the graph of the equation <br> 2x+4y=8
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Step-by-step explanation:

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then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

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finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

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