WILL MARK THE BRAINLIEST!! What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Amplitude is twice the coefficent of the sine function. In this case, $2*2=4$

Period is $2\pi$ divided by the coefficent of x, in this case, $\frac {2\pi} 1 =2\pi$

Phase shift, is how much you sum or subctract from x inside the sine, in this case $\pi$ .

Midline you get by hiding the sine and reading what's left, in this case, -4.

You might be interested in

What is 11 rounded off to the nearest hundred

fenix001 [56]

The answer is 0 because it isn't above 49 and therefore can't be rounded to 100.

Hope this helps :)

3 0

3 years ago

The function g(n)=n²-6n+16 represents a parabola.

goblinko [34]

Part A: (n^2-6n)+16

[(n^2-6n+9)-9]+16

(n-3)^2+7

Part B: From the above result,

Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive

Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3

Hope this helps!

4 0

3 years ago

A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi

sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

$f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C$

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

$1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266$

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

$100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05$