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3 years ago

5

Match each graph with the correct cosine function based on its period.

1 answer:

earnstyle [38]3 years ago

3 0

Answer:

1. cos (x/2)

2.y=cos(4x)

3. y=cos(x)

4.y= cos(x/4)

Step-by-step explanation:

The graph of cosine function is sinusoidal and the y value ranges between -1 to 1.

the cosine function is periodic with general period P of 2π

if P< 2π then cosine graph experience a compression horizontally

if P>2π then cosine graph experience a stretch horizontally

for graph 1, the period is 4π hence the graph is stretched with period of 4π

for graph 2, the period is π/2 hence the graph is compressed with period of π/2

for graph 3, the period is 2π hence the graph is periodic with period of 2π

for graph 4, the period is 8π hence the graph is stretched with period of 4π

!

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2 years ago

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o-na [289]

Answer:

A)2,6,10

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Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

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Now

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------------------------------------------

Similarly

$a_{3}=a_{1}+(3-1)d$

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Substituting the given value we get

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-------------------------------------------------

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Substituting the given value we get

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<u>B</u><u> $a_n=a_{(n-1)}-8$ with $a_1=10$ </u>

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$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

---------------------------------------------------------------------

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

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$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

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<u>C) $a_1=3, a_2=1$ </u>

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

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------------------------------------------------------------------------------

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$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

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----------------------------------------------------------------------------------

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Substituting the value we get

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3 years ago

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emmasim [6.3K]

Answer:

A few examples:

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AE: 2x+3

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AE: x - (2/3)y

VE: The number of friends I have increased by four times the amount of friends you have.

AE: x + 4y

Let me know if this helps!

7 0

3 years ago