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slava [35]
3 years ago
7

PLEASEEEE HELP THANK YOU!!!

Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer:

- 4 < x ≤ 7

Step-by-step explanation:

Given

- 10 ≤ - 5x + 25 < 45 ( subtract 25 from all 3 intervals )

- 35 ≤ - 5x < 20

Divide all 3 intervals by - 5, reversing the inequality signs as a consequence.

7 ≥ x > - 4

Hence - 4 < x ≤ 7

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If x is increased by 25% then, by what % is x² increased
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By <em>analytical</em> methods and <em>algebraic</em> handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

<h3>How to determine the percentage increase rate </h3>

In this case we have a <em>linear</em> variable x, whose increase is described by the following expression:

y = x · (1 + r/100)     (1)

Where r is the <em>increase</em> rate.

If we square (1), then we find that:

y² = x² · (1 + r/100)² = (1 + r'/100)     (2)

Where r' is the <em>equivalent increase</em> rate.

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By <em>analytical</em> methods and <em>algebraic</em> handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

To learn more on percentages: brainly.com/question/14979505

#SPJ1

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