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2 years ago

Find the amplitude and the equation of the midline of the periodic function.

Mathematics

2 answers:

djverab [1.8K]2 years ago

8 0

Check the picture below.

Masja [62]2 years ago

6 0

Answer:

Option B. Amplitude =3 midline is y =2.

Step-by-step explanation:

In the graph attached we have to find the amplitude and midline of the periodic function.

Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2

= (5-(-1))/2 = (5+1)/2 =6/2 =3.

Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.

Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.

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1 year ago

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2 years ago

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2 years ago

Gabe went to the amusement park with $40 to spend. His ticket cost $26.50. Write and solve an inequality to show how much he mig

Goshia [24]

<h3><u>An inequality to show how much he might spend on souvenirs and snacks is:</u></h3>

$x\leq 13.5$

<h3><u>Solution:</u></h3>

Given that,

Gabe went to the amusement park with $40 to spend

His ticket cost $26.50

Therefore,

Total amount she has = $ 40

Ticket cost = $ 26.50

Let "x" be the amount he might spend on souvenirs and snacks

Therefore,

Remaining amount = 40 - 26.50

Remaining amount = 13.5

Thus she can spend less than or equal to $ 13.5 on souvenirs and snacks

Which is represented in inequality as:

$x\leq 13.5$

Thus the inequality is found

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2 years ago