Which graph shows the solution to the following system of linear inequalities?

Mathematics

1 answer:

bonufazy [111]2 years ago

8 0

Answer:

The fourth graph will be the solution.

Step-by-step explanation:

The system of linear inequalities are

- 3x - 3y < - 3, ⇒ x + y > 1

And y ≤ -x + 1, ⇒ x + y ≤ 1

There is no solution for those two inequalities because there are no values of x and y that can satisfy both the equations.

Now, the fourth graph will be the solution as there is no shaded region for the solution in the graph and also the line x + y = 1 is plotted as a dotted line that means the solution does not include the line also. (Answer)

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the table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers,w

balandron [24]

Answer:

The greatest depth of the Southern Ocean is 7.24 kilometers

Correct statement, question and data:

The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?

Please see the table attached.

Source:

Question that can be found at mathpractice101

Step-by-step explanation:

Let's answer the question, this way:

Depth of the Southern Ocean = x

For solving x, we have:

(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094

10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)

33.23 + x = 40.47

x = 40.47 - 33.23 (Subtracting 33.23 at both sides)

x = 7.24