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Papessa [141]
3 years ago
8

Subtract p - q from 2p - q + 4. answer the following with explanation

Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0

Answer:

\boxed{p+4}

Step-by-step explanation:

It will be like

=> (2p - q + 4) - (p-q)

=> 2p-q+4-p+q

Combining like terms

=> 2p-p-q+q+4

=> p+4

ra1l [238]3 years ago
5 0

Answer:

Step-by-step explanation:

2p - q + 4 - ( p - q )

2p - q + 4 - p + q

By rearranging the terms

2p - p + 4

( you might think where -q and +q went ???

They are cancelled because they have opposite signs )

∴The answer is p + 4

Hope it helps

plz mark as brainliest!!!!!!!

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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)

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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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Step-by-step explanation:

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