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faltersainse [42]
3 years ago
15

Given that 3x + y = 0 and 2x - y = 5, find the value of y.​

Mathematics
1 answer:
professor190 [17]3 years ago
4 0

Answer:

<em>3x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>y</em><em>/</em><em>3</em>

<em>Now</em><em>,</em><em> </em>

<em>2x</em><em> </em><em>-</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>5</em>

<em>2</em><em> </em><em>(</em><em>-</em><em>y</em><em>/</em><em>3</em><em>)</em><em> </em><em>-</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>5</em>

<em>(</em><em>-</em><em>2y</em><em> </em><em>-</em><em> </em><em>3y</em><em>)</em><em>/</em><em>3</em><em> </em><em>=</em><em> </em><em>5</em>

<em>-</em><em>5y</em><em>/</em><em>3</em><em> </em><em>=</em><em>5</em>

<u><em>y</em><em>=</em><em>-</em><em>3</em></u>

<em>#</em><em>$</em><em>#HOPE</em><em> </em><em>YOU</em><em> </em><em>UNDERSTAND</em><em> </em><em>#</em><em>$</em><em>#</em>

<em>#</em><em>$</em><em>¥</em><em> </em><em>THANK</em><em> </em><em>YOU</em><em> </em><em> ¥</em><em>$</em><em>#</em>

<em>❤</em><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em /><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em>❤</em><em> </em>

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What is the fuction for the graph?
Andrews [41]

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

<h3>What is the piecewise defined function behind the graph?</h3>

In this problem we have a <em>piecewise defined</em> function formed by three functions: (i) <em>Linear</em> equation, (ii) <em>Quadratic</em> equation, (iii) <em>Linear</em> equation. The <em>first</em> function is y = 40, for 0 ≤ x < 15.

The <em>second</em> function can be found based on the knowledge of three points:

y = a · x² + b · x + c

(x₁, y₁) = (15, 40)

40 = 225 · a + 15 · b + c

(x₂, y₂) = (45, 2.5)

2.5 = 2025 · a + 45 · b + c

(x₃, y₃) = (65, 20)

20 = 4225 · a + 65 · b + c

And the <em>quadratic</em> equation is y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65.

And the <em>latter linear</em> equation is:

y = m · x + b

m = (30 - 20)/(90 - 65)

m = 0.4

And the x-intercept is:

b = y - m · x

b = 20 - 0.4 · 65

b = - 6

The <em>linear</em> equation is y = 0.4 · x - 6, for x ≥ 65.

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

To learn more on piecewise defined functions: brainly.com/question/12561612

#SPJ1

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