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g100num [7]
2 years ago
5

What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1? (6 point

s) a f(x) = −1 cos πx + 2 b f(x) = −1 cos (x − π) + 2 c f(x) = 2 cos (x − π) − 1 d f(x) = 2 cos πx − 1
Mathematics
1 answer:
Tatiana [17]2 years ago
7 0

Answer:

  c.  f(x) = 2 cos(x − π) − 1

Step-by-step explanation:

The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.

For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...

  f(x) = 2·cos(x -π) -1

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2 years ago
What is the difference between d and 7?
Goryan [66]

Answer:

d - 7

Step-by-step explanation:

The word "difference" tells us that we will be using subtraction. Also, subtraction is not the same if you reverse the terms like, x - 2 and 2 - x are not the same. In your question it say "d and 7" so that's the order we use in the algebraic expression.

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1 year ago
The half-life of the isotope Osmium-183 is 12 hours. Choose the equation below that gives the remaining mass of Osmium-183 in gr
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for some decay constant <em>k</em>. Solve for this <em>k</em> :

1/2 = exp(12<em>k</em>)

ln(1/2) = 12<em>k</em>

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Now for some starting mass <em>M</em>₀, the mass <em>M</em> remaining after time <em>t</em> is given by

<em>M</em> = <em>M</em>₀ exp(<em>kt </em>)

So if <em>M</em>₀ = 590 g and <em>t</em> = 36 h, plugging these into the equation with the previously determined value of <em>k</em> gives

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6 0
3 years ago
Two numbers have a sum of 761 and a difference of 335.what are the 2 numbers ​
melisa1 [442]

Answer:

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Step-by-step explanation:

Use a linear function:

Let x = 1st number

Let y = 2nd number

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plug x into either equation

548+y=761

y=761-548

y=213

548-y=335

-y=-213

y=213

6 0
3 years ago
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