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umka21 [38]
3 years ago
11

Which function's graph has a period of 2?

Mathematics
2 answers:
goblinko [34]3 years ago
7 0

Answer:

Option 2. y = 3 cos πx is the answer.

Step-by-step explanation:

If the function is in the standard form of y = acos(bx+c)  or y = asin(bx+c)

Then period of the given function will be = 2π/b

1) For y = cos(x - π/2)

Therefore period of the function will be = 2π/1 = 2π

2) For y = 3cos πx

Period = 2π/π = 2

Correct option.

3) y = 2 sin 3x

Period of the function = 2π/3

4). y = -4sin 2x

Period of the function = 2π/2 = π

So option 2 is the answer.

Svet_ta [14]3 years ago
4 0
If the function is:
y=a cos( bx+c), or y=a sin(x+c)
then the period is T= 2π/b and if T=2:
2=2π/b
b=2π/2=π
Answer: B) y=3 cos πx 
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If an item that originally cost $14 is decreased to $12, what is the percentage of decrease in the item?
Effectus [21]

Answer:

-7.69%

Step-by-step explanation:

5 0
3 years ago
The giant panda population in China is increasing at a rate of 1.5% each year. There are 1864 giant panda in 2014. Write a funct
guajiro [1.7K]

Given:

Giant panda population in 2014 = 1864

The giant panda population in China is increasing at a rate of 1.5% each year.

To find:

The function that models the panda population since 2014.

Solution:

Since population of giant panda is increasing, therefore the function is the exponential growth model.

The general exponential growth model is:

P(t)=P_0(1+r)^t

Where, P_0 is the initial population, r is the growth rate in decimal and t is the time period.

Putting P_0=1864,r=0.015, we get

P(t)=1864(1+0.015)^t

P(t)=1864(1.015)^t

Where, t is the number of years since 2014.

Therefore, the required exponential growth model is P(t)=1864(1.015)^t.

4 0
3 years ago
A pair of parallel lines is cut by a transversal, as shown:
Hitman42 [59]

The correct answer is option C which is x = y.

<h3>What is the alternate interior angle?</h3>

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.

Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.

Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.

Therefore the correct answer is option C which is x = y.

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8 0
2 years ago
Use functional notations to describe the function displayed to the right.
LekaFEV [45]

Examining  the table the functional notation is in the second option which is f ( x ) = x^2

<h3>How to determine the  functional notations of the table</h3>

The table represents functions of input variables and the output variables.

The functional notation represents the relationship between the input and out variables

comparing the values and the function

f ( x ) = x^2

at x = -3 ⇒ f ( -3 ) = (-3)^2 = 9

at x = 0 ⇒ f ( 0 ) = (0)^2 = 0

at x = 1 ⇒ f ( 1 ) = (1)^2 = 1

This shows that f ( x ) = x^2 is the correct option

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8 0
1 year ago
Determine the vaule of x for which v//w if m&lt;1=100 and m,6=4x+10.
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<span>d. 22.5 Would Be Your Answer</span>
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