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jasenka [17]
2 years ago
10

Find the answer. (x-4)-1/4+5

Mathematics
1 answer:
Kipish [7]2 years ago
8 0

Answer:

Standard form:

x + 3/ 4

= 0

Factorization:

1/ 4

(4x + 3) = 0

Solutions:

x = −3/ 4

= −0.75

Step-by-step explanation:

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The equation of the function f(x) is f(x) = 2 sin(π/2(x + 6)) - 3

<h3>How to create the sine function?</h3>

A sine function is represented as:

f(x) = A sin(B(x + C)) + D

Where

A = Amplitude

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C = Phase shift

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The requirements in the question are:

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So, we can use the following assumptions

A = 2

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D = -3

So, we have:

f(x) = 2 sin(B(x + 6)) - 3

The value of B is

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This gives

B = π/2

So, we have:

f(x) = 2 sin(π/2(x + 6)) - 3

<h3>The amplitude, vertical shift, period of f(x)and the phase shift</h3>

Using the representations in (a), we have:

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<h3>The graph of the function</h3>

See attachment for the graph of f(x)

<h3>The value of cos θ </h3>

Let θ = 3π

So, we have:

cos(3π)

This is calculated as:

cos(3π) = cos(2π + π)

Expand

cos(3π) = cos(2π) *cos(π) - sin(2π) *sin(π)

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Let θ = 3π

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sin(3π)

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sin(3π) = sin(2π + π)

Expand

sin(3π) = sin(2π) *cos(π) + cos(2π) *sin(π)

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Let θ = 3π

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tan(2 * 3π)

tan(6π)

This is calculated as:

tan(6π) = tan(3π + 3π)

Evaluate

tan(3π) = 0

Read more about sinusoidal functions at:

brainly.com/question/10700288

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