Which function has a period of 4π? y = one-half sine (one-half x)
y = sine (one-fourth x)
y = 2sin(2x)
y = 4sin(x)

The time period of first option is .

Thus, first option is correct.

Compare given option from  

Where w is frequency.

First option is,  

After comparing,  We get  

As we know that,   Time period

Hence, function   has period of .

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The answer is a

Step-by-step explanation:

based on the equation, period=2pi/b, you can just plug in the values for the equation on each option, b being the constant in front of x.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

24+x=y

step-by-step explanation: