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Anni [7]
3 years ago
10

8. Find the period and amplitude of the function.

Mathematics
1 answer:
Naily [24]3 years ago
3 0
The general equation of the cosine function is
y = a cos nθ
where a is the amplitude 
And n = 2π/period

by comparing the general equation with the given equation which is 
<span>Y = 5 cos 2</span>θ
∴ a = 5  and   n = 2
∴ period = 2π/n = 2π/2 = π
∴ The amplitude = 5   and  the period = π

So, the correct answer is the second option

<span>Period pi, radians; amplitude: 5</span>


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sveticcg [70]

Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.

<h3>How to Write the Equation of a Linear Model Function?</h3>

The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.

Equation for Rink A:

Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4

Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:

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Equation for Rink B:

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Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:

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Substitute m = 6 and b = 9 into y = mx + b:

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To find how many hours (x) both would cost the same (y), make both equation equal to each other

4x + 15 = 6x + 9

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The hours Jeremy wants to skate is 3.

Learn more about linear model function on:

brainly.com/question/15602982

#SPJ1

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