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Alik [6]
3 years ago
12

Y = sin (x) + 60, What transformation does + 60 cause to the sine graph?

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

1. There is a vertical shift.

Step-by-step explanation:

The component +60 translates the original function in the +y direction. The operation is described by following formula:

f'(x) = f(x) + k (1)

Where:

f(x) - Original function.

f'(x) - Resulting function.

k - Vertical translation distance.

Since resulting function is a consequence of a translation in +y direction, then k>0. Hence, correct answer is 1.

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Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a
saw5 [17]

Answer:

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

<u>Our system of equations:</u>

<u>x + y = 12</u>

<u>7x + 12y = 104</u>

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

<u>y = 4 ⇒ x = 12 - 4 = 8</u>

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

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3 years ago
The diameter and height of this cylinder are equal to the side length ,S, of the crude in which the cylinder is inscribed.What e
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Answer:

c

Step-by-step explanation:

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Step-by-step explanation:

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