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2 years ago

What is the amplitude of the sinusoidal function?

Mathematics

1 answer:

dem82 [27]2 years ago

7 0

Answer:

The amplitude of the sinusoidal function is 3

Step-by-step explanation:

$Amplitude=\frac{Maximum+Minimum}{2}\\\\Amplitude=\frac{1+(-7)}{2}\\ \\Amplitude=\frac{1-7}{2}\\\\Amplitude=\frac{-6}{2}\\ \\Amplitude=-3=3$

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Answer:

$\frac{5}{13}$

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3 years ago

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Find the value of x

marshall27 [118]

Answer:

x = 22

Step-by-step explanation:

(x+1)+(3x+1) = 4x+2

4x+2=90°

Solve for x:

4 x + 2 = 90

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4 x + (2 - 2) = 90 - 2

2 - 2 = 0:

4 x = 90 - 2

90 - 2 = 88:

4 x = 88

Divide both sides of 4 x = 88 by 4:

(4 x)/4 = 88/4

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2 years ago

Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?

Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

$p(x) = {x}^{3} + 2 {x}^{2} - 3x - 4$

is divided by x+1, then the remainder is given by

$p( - 1)$

We substitute x=-1 into the function to obtain,

$p( - 1) = {( - 1)}^{3} + 2 { ( - 1)}^{2} - 3( - 1) - 4$

We simplify to get:

$p( - 1) = - 1+ 2 (1) + 3 - 4$

$p( - 1) = 4- 4$

$p( - 1) = 0$

Katnis is right because the remainder is zero

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3 years ago