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qwelly [4]
3 years ago
12

Write an equation for a cosine function with an amplitude of 5, a period of 3, a phase shift of 2, and a vertical displacement o

f 2.
y = 5 cos 2π x-2/3 + 2

y = 3 cos π (x-2) - 5

y = 3 cos 2π (x-5) + 2

y = 5 cos 2π x+2/2 + 2
Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

y = 5 cos ((2π/3)x - 2) + 2

Step-by-step explanation:

Cosine function takes a general form of  y = A cos (Bx + C) + D

Where

A is the amplitude

2π/B is the period

C is the phase shift ( if -C, then phase shift right, if +C phase shift left)

D is the vertical displacement (+D is above and -D is below)

Given the conditions of the function to build and the general form, we can write:

** Note: period needs to be 3, so 2π/B = 3, hence B = 2π/3

Now we can write:

y = 5 cos ((2π/3)x - 2) + 2

first answer choice is right.

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Pls help me to do the 1st question
serious [3.7K]

Answer:

a) both have same distance

b) second park has a larger area

Step-by-step explanation:

a) park a: circumference is

75+75+30+ pi*30( the diameter of the inward semi circle is 30)

be also has the same perimeter because the diameter of outward semi circle is also 30

b) in the first park, the semi circle area is cut out

in the second its part of the park

4 0
3 years ago
Generate the first three terms of the following sequence 4n² - 2n + 3
Jet001 [13]

Answer:

<h3>n=1,</h3>

=5

<h3>n =2,</h3>

=15

<h3>n=3</h3>

=33

Step-by-step explanation:

n = 1 \\ 4 {n}^{2}  - 2n + 3 \\ 4 \times 1 \times 1 - 2 \times 1 + 3 \\ 4 - 2 + 3 \\ 2 + 3 \\  = 5

n = 2 \\ 4 {n}^{2}  - 2n + 3 \\ 4 \times 2 \times 2 - 2 \times 2 + 3 \\ 16 - 4 + 3 \\ 12 + 3 \\ =  15

n = 3 \\ 4 {n}^{2}  - 2n + 3 \\ 4 \times 3 \times 3 - 2 \times 3 + 3 \\ 36 - 6 + 3 \\36 - 3 \\  = 33

8 0
3 years ago
Bla nnn,,,,,,bs jfbjnf msnjkmfe sjnmf cmmnefnmv fcve
EleoNora [17]

Answer:

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8 0
2 years ago
Read 2 more answers
Select the correct answer.<br> Which of the following sets of ordered pairs represents a function?
iogann1982 [59]

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

3 0
3 years ago
Which pair of number has the least common multiple of 12
liraira [26]

Answer:

3 and 4.

Step-by-step explanation:

3 * 2 *2 = 12.

So 3 and 4 have an LCM of 12.

5 0
3 years ago
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