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3 years ago

Identify the frequency of the graph

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

4 0

ANSWER

$\frac{1}{2}$

EXPLANATION

The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]

We can observe explicitly from the graph that the frequency is half.

The period of the given function is 4π

$\frac{2\pi}{b} = 4\pi$

$b = \frac{2\pi}{4\pi} = \frac{1}{2}$

Hence the frequency is half.

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Answer:

See below.

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3 years ago

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This z-score, looked up in a standard normal distribution table, is z=-0.915.

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3 years ago

5x−y=3<br> −5x+2y=4<br> Which ordered pair satisfies the system of equations shown above?

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Answer:

$(2, 7)$

Step-by-step explanation:

We can solve this system of equations by using elimination.

In this case, we can eliminate x by adding the two equations:

$5x+(-5x)-y+2y=3+4\\5x-5x+y=7\\y=7$

Then, substitute 7 for y to solve for x:

$5x-y=3\\5x-7=3\\\text{Add 7 to both sides}\\5x=10\\\text{Divide both sides by 5}\\x=2$

Substitute both these values into the system to check our answer:

$5x-y=3\\5(2)-7=3\\10-7=3\\3=3\rightarrow \text{correct!}$

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Therefore the ordered pair is:

$(x, y)=(2, 7)$

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2 years ago