Find the circumferences of both circles
2 answers:
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Answer:
An even function is:
f(x) = 7
Step-by-step explanation:
An even function accomplish the following condition:
f(x)=f(-x) (1)
Applying (1), we have:
- f(x)= (x-1)^2
f(-x)
- f(x)= 8x
- f(x)= x^2 -x
- f(x)=7 = f(-x)= 7
The last one is even.
Answer:
His average speed on the second day is 35 miles per hour.
Step-by-step explanation:
Consider the provided information.
On first day, he drove 2 hours longer than he drove on second day.
Let x = Number of hours he drove on second day.
Then x + 2 = Number of hours he drove on first day.
It is given that he drove a total of 18 hours.
Therefore,
He drove 8 hours on second day.
x + 2 = 8+2=10
He drove 10 hours on first day.
Let y = speed driven on second day.
y + 5 = speed driven on first day.
As we know: Distance = speed × time
On first day he covers a distance of:
Distance = 10(y+5)
On second day he covers a distance of:
Distance = 8(y)
Total distance = Day 1 distance + Day 2 distance
Hence, his average speed on the second day is 35 miles per hour.
Answer:
(a) Amplitude = 4
(b) --- Period
(c)
--- phase shift
--- vertical shift
Step-by-step explanation:
Given
Rewrite the function as:
Solving (a): The amplitude
A cosine function is represented as:
Where:
So, in this equation (by comparison):
<em>The amplitude is 4</em>
Solving (b): The period (T)
This is calculated as:
By comparison:
So:
Solving (c): The shift
The phase shift is C
The vertical shift is D
By comparison:
--- phase shift
--- vertical shift