Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

1 answer:

4 0

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

<h3>System of inequality</h3>

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

Learn more on inequality graph here: brainly.com/question/24372553

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In the diagram, AB = 10 and AC = 2√10. What is the perimeter of △ABC?

Zigmanuir [339]

<span>D. 20 + 2âš10 units To solve this, you simply need to calculate the length of each side of the triangle with the vertexes of A(3,4), B(-5,-2), and C(5,-2). The length of each side is simply calculated using the pythagoras theorem. Note that it doesn't matter what order you do the subtraction. The absolute value will be the same and if it happens to be negative, not a problem since it will become positive once you square the values. So the length of side AB is sqrt((3-(-5))^2 + (4-(-2))^2) = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10. The length of side BC is sqrt((-5 - 5)^2 + (-2 - (-2))^2) = sqrt(-10^2 + 0^2) = sqrt(100+0) = sqrt(100) = 10. And finally, the length of side AC is sqrt((3-5)^2 + (4-(-2))^2) = sqrt(-2^2 + 6^2) = sqrt(4+36) = sqrt(40) = 2 * sqrt(10) Finally, add all the lengths together. 10 + 10 + 2âš10 = 20 + 2âš10</span>

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3 years ago

An electronics retailer receives a shipment of 6,000CDs to distribute to its stores. A quality control manager inspects a random

Alex17521 [72]

Answer: 300

Step-by-step explanation:

Given , An electronics retailer receives a shipment of 6,000CDs to distribute to its stores.

i.e, Total CD's he has now = 6,000

Also, a quality control manager inspects a random sample(S) of 40CD's , the number of defective(D) CD's are 2.

Then , the proportion of defective( D) CD's = $\dfrac{D}{S}=\dfrac{2}{40}=0.05$