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Andru [333]
3 years ago
13

1/2(-4+6n)=1/3n+2/3(n+9)

Mathematics
2 answers:
elena55 [62]3 years ago
7 0

Answer:

n= 4

Step-by-step explanation:

azamat3 years ago
3 0

The correct answer is n=4:)

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2/3

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slope =(y1-y2)/(x1-x2)

slope=(1-(-1))/(6-3)

slope =2/3

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3 years ago
Ff is a trigonometric function of the form f(x)=a\sin(bx+c)+df(x)=asin(bx+c)+df, left parenthesis, x, right parenthesis, equals,
andriy [413]

The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.

<h3>How to derive a sinusoidal expression</h3>

In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:

f(x) = a · sin (b · x + c) + d    (1)

Where:

  • a - Amplitude
  • b - Angular frequency
  • c - Angular phase
  • d - Vertical midpoint

Now we proceed to find the value of each variable:

Amplitude

a = - 2 - (-6.5)

a = 4.5

Angular frequency

b = 2π / T, where T is the period.

0.25 · T = 4 - 3

T = 4

b = 2π / 4

b = π / 2

Midpoint

d = - 6.5

Angular phase

- 2 = 4.5 · sin (π · 4/2 + c) - 6.5

4.5 = 4.5 · sin (π · 4/2 + c)

1 = sin (2π + c)

π = 2π + c

c = - π

The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

3 0
2 years ago
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