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expeople1 [14]
2 years ago
14

A sinusoidal function whose frequency is 3, maximum value is 15, minimum value is -3 has a y-intercept of 6.

Mathematics
2 answers:
aliya0001 [1]2 years ago
8 0

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

Hope this will help

maxonik [38]2 years ago
3 0

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

First, we can eliminate B and C because they have the wrong vertical shift.

Since the y intercept is 6, this means the function has a vertical shift up 6 units, represented by a +6 at the end of the equation.

The amplitude is 9, found by calculating the difference between the minimum and maximum values, and dividing it by 2.

(15 - (-3)) / 2

18 / 2

= 9

Using a calculator, find the period given the frequency.

The period (coefficient of x) is 1/3.

So, putting all of these constants together, the correct equation is:

A. f(x) = 9sin(x/3) + 6

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Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

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Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

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Combine like terms: 20m + -7m = 13m

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Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

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