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3 years ago

I need help on this!!

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

3 0

Answer:

Commutative

Step-by-step explanation:

Given

$3 + b + 2 = 3 + 2 + b$

Required

What law is applied

The applied law is commutative law of addition.

This law states that:

$a + b = b + a$

So:

$3 + b + 2 = 3 + (b + 2)$

When the positions of 2 and b are interchanged, we have:

$3 + b + 2 = 3 + (2 + b)$

Remove bracket

$3 + b + 2 = 3 + 2 + b$

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Write the equation of the trigonometric graph.

prisoha [69]

Answer:

$f(x)= \sin(6x)+3$

Step-by-step explanation:

The parent function of this graph is: y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

$f(x) = \sf A \sin (B(x + C)) + D$

A = amplitude (height from the mid-line to the peak)
2π/B = period (horizontal distance between consecutive peaks)
C = phase shift (horizontal shift - positive is to the left)
D = vertical shift

The parent function y = sin(x) has the following:

Amplitude (A) = 1
Period = 2π
Phase shift (C) = 0
Vertical shift (D) = 0
Mid-line: y = 0

From inspection of the given graph:

Amplitude (A) = 1
$\sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}$
Phase shift (C) = 0
Vertical shift (D) = +3 (as mid-line is y = 3)

$\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6$

Substituting the values into the standard form:

$\implies f(x) =1 \sin (6(x + 0)) + 3$

$\implies f(x) = \sin (6x) + 3$

Therefore, the equation of the given trigonometric graph is:

$f(x)= \sin(6x)+3$

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2 years ago

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g100num [7]

Answer:

2(20+5)

2(10+15)

Step-by-step explanation:

When you add 20+5 together you get 25 which is the same to 2(25)

When you add 10+15 together you get 25 which is the same to 2(25)

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Chelsea is graphing a function f(x) = (1/4)x. She begins plotting the initial value. Which graph represents her step?

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Answer:

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