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Vesna [10]
3 years ago
5

graph the solution to the following system of inequalities y<-2x+7, y greater than or equal to 2x - 3 ​

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality y First, draw the dotted line y=-2x+7 (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality y\ge 2x-3. First, draw the solid line y=2x-3 (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).

The intersection of both regions is the solution of the system of two inequalities.

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The intersection of lines y=-14x+3 and y=-32x+3 is .
Kamila [148]

The intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)

<h3>How to determine the intersection of the lines?</h3>

The lines are given as:

y = -14x + 3 and y = -32x+3

Substitute y = -32x+3 in

-32x+3 = -14x + 3

Evaluate the like terms

-18x = 0

Divide by -18

x = 0

Substitute x = 0 in y = -14x + 3

y = -14(0) + 3

Evaluate

y = 3

Hence, the intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)

Read more about linear equations at:

brainly.com/question/14323743

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2 years ago
If 4/5 of the population of a certain town is
kkurt [141]

Hi! I'm happy to help!

Our town is composed of 2,000 people. Of those 2,000 people, 4/5 of them are middle class. The word 'of' usually means multiplication when it is in a word problem. So, we will multiply 2,000 by 4/5. When multiplying a whole number, we just multiply it by the numerator (top) and leave the denominator. (bottom)

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8,000/5

Fractions are just a different way of putting division, so we can change this to a division problem:

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I hope this was helpful, keep learning! :D

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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