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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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How is 0.025¯¯¯¯ written as a fraction in simplest form?
LUCKY_DIMON [66]

I am not sure if you wrote a repeating decimal with the line next to the 0.025 so comment if you need it. If it wasn't repeating it would be simply 1/40 if there is no repeating and you only want 0.025 is a fraction in simplest form.

8 0
3 years ago
In an arithmetic sequence, if a2=5 and a10=19 find a6
insens350 [35]

Answer:

93

Step-by-step explanation: The first term of AP is -5 and second term means -3.  

Common difference(d) = second term - first term

d = (-3)-(-5)

d= 2

Now using the formula of nth T  

n

​

=a  

1

​

+(n−1)d

Here a  

1

​

=−5,n=50,d=2

Puting these values in the formula of of nth term we get  

a  

n

​

=−5+(50−1)2

a  

n

​

=−5+98

a  

n

​

=93

8 0
3 years ago
Not sure on how to do this ?
denis-greek [22]

Answer:

so hirap

Step-by-step explanation:

soooooooooo hirapppppppppppppppppppppppppppppppppppppppppppppppp

4 0
3 years ago
X 0 2 10 20
prisoha [69]


Use two points from the graph to check if they are constant. In this case let’s use (0,50) & (2,58)

To find slope you have to do the following.

y2-y1 / x2-x1

Plug in the values, 58-50/2-0
This gives you 4.

When you use two other points, in this case (10,90) (20,130) you get a slope of 4.

This means the slope is 4.

We are trying to get an equation of y=mx+b.
We have slope already which is 4. So now we plug in y=4x + b

Now we need to find b. There is an equation to solve for b. Which is b=y1-m(x1)

But b is the y-intercept so there is already a B which is 50

So the table IS a linear equation and the equation is y=4x+50.
8 0
3 years ago
10
FromTheMoon [43]

The total amount shared by the friends illustrates mean and average, and the amount spent by each friend is $11.5

<h3>How to determine the amount?</h3>

The given parameters are:

  • Total = $76
  • Tip = $16
  • Number of friends = 8

The amount spent by each friend is calculated using:

Amount = (Total + Tip)/Number of friends

So, we  have:

Amount = (76 + 16)/8

Evaluate

Amount = 11.5

Hence, the amount spent by each friend is $11.5

Read more about mean and average at:

brainly.com/question/20118982

#SPJ1

8 0
2 years ago
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