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Julli [10]
2 years ago
7

The graph of a sinusoidal function intersects its midline at (0,−3)and then has a maximum point at (2,-1.5). Write the formula o

f the function, where x is entered in radians. f(x)= Please answer fast
Mathematics
1 answer:
amm18122 years ago
7 0

The <em>sinusoidal</em> function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

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

In this question we must derive a <em>sinusoidal</em> function based on two given points. <em>Sinusoidal</em> functions are <em>periodic</em> functions that uses <em>trigonometric</em> functions and have the following form:

y = A · cos (2π · x/T) + B      (1)

Where:

  • A - Amplitude
  • T - Period
  • B - Vertical midpoint

The <em>horizontal</em> distance between the midline and the <em>maximum</em> point is equal to a quarter of the period. Hence,

T = 4 · (2 - 0)

T = 8

The <em>vertical</em> midpoint and amplitude of the <em>sinusoidal</em> function are now calculated:

Vertical midpoint

B = - 3

Amplitude

A = - 1.5 - (- 3)

A = 1.5

Then, the <em>sinusoidal</em> function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

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Determine the first five terms I. The sequence that has a recursive rule of f(n) = f(n-1) + 2 for n is greater than or equal to
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Okay let me explain this to you so you understand

So what does f(n) mean?

Well F(n) is saying the function, of n.

Basically we need to make n be any random number.

Well what number do we choose?

In your question, it says n is greater than or equal than 2.

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f(n-1)+2

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3 years ago
The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 26% are R
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Answer:

<h2>Check the explanation.</h2>

Step-by-step explanation:

Let, the total population is 1000.

The number of republicans are 26% that is 260, Democrats are 63% that is 630 and Independents are 11% of 1000, that is 110.

20% of 260 = \frac{20\times260}{100} = 52 Republicans favor some type of corporate tax reform.

51% of 630 = \frac{51\times630}{100} = 321.3 .

29% of 110 = \frac{29\times110}{100} = 31.9.

Total number of people, who favor some type of corporate tax is (52 + 321.3 + 31.9) = 404.2 ≅404.

The required probability is \frac{321}{404}.

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Determine the area and perimeter or circumference of the following figures. What do A and p =
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Read 2 more answers
Find the equation of the median from b in ABC whose vertices are (1,5), B(5,3) and C(-3, -2)
Soloha48 [4]

Answer:

y = x + 6

x = 1

y = ¼(x - 5) + 3

Step-by-step explanation:

Vetices are;

A(1,5), B(5,3) and C(-3, -2)

Thus;

Median of AB is; D = (1 + 5)/2, (5 + 3)/2

D = (3, 4)

Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2

E = (1, 0.5)

Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2

F = (-1, 1.5)

Thus, the median lines will be;

CD, AE & BF.

Thus;

Equation of CD is;

(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)

(y + 4)/(x + 2) = -6/-6

y - 4 = 1(x + 2)

y = 4 + x + 2

y = x + 6

Equation of AE;

(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)

(y - 5)/(x - 1) = -4.5/0

Cross multiply to get;

0(y - 5) = -4.5(x - 1)

-4.5x = -4.5

x = 1

Equation of BF;

(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)

(y - 3)/(x - 5) = -1.5/-6

(y - 3)/(x - 5) = 1/4

y - 3 = ¼(x - 5)

y = ¼(x - 5) + 3

7 0
3 years ago
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