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3 years ago

System of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

Mathematics

1 answer:

umka2103 [35]3 years ago

7 0

Answer:

D) (0, -3)

Step-by-step explanation:

The solution of two linear equations is the point of intersection of their graphs.

From the graph, the point of intersection of the graphs of the two linear equations is on the y-axis. So, the $x$ value on the $y$ axis is always 0. Also, the point is below the x-axis. So, the $y$ value of the point will be negative.

From the choices given, only (0,-3) matches the above conditions.

Therefore, the correct choice is D. (0, -3).

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Answer:

10.3

Step-by-step explanation:

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3 years ago

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3 years ago

Which of the following is the inverse of y=3x?

shtirl [24]

Answer-

<em>The inverse of $y=3^x$ is </em>

$\boxed{\boxed{y=\log_3 x}}$

<u>Solution-</u>

The given function is,

$y=3^x$

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

$\Rightarrow x=3^y$

Taking log of both sides,

$\Rightarrow \log x=\log 3^y$

As,

$\log a^b=b\times \log a$

Applying the same,

$\Rightarrow \log x=y\times \log 3$

$\Rightarrow y=\dfrac{\log x}{\log 3}$

As,

$\log_b a=\dfrac{\log a}{\log b}$

Applying the same,

$\Rightarrow y=\log_3 x$

Therefore, the inverse of $y=3^x$ is $y=\log_3 x$ .

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3 years ago

Read 2 more answers

Set A={1,2,3,4,5,6} two numbers from set A are selected at random without replacement and their sum recorded how many different

wolverine [178]

The minimum sum is 3 and the maximum is 11. So there are 9 different possible sums.
There are 30 ways to get these 9 different sums.
The table below shows all outcomes.

1 2 3 4 5 6
———————————-
1 | X 3 4 5 6 7
2 | 3 X 5 6 7 8
3 | 4 5 X 7 8 9
4 | 5 6 7 X 9 10
5 | 6 7 8 9 X 11
6 | 7 8 9 10 11 X

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3 years ago