Number two is thirty weeks
Given:
There are given that the parent functions as a cosine function:
Where,
The amplitude of the function is 9.
The vertical shift is 11 units down.
Explanation:
To find the cosine function, we need to see the standard form of the cosine function:
![f(x)=acos(bx+c)+d](https://tex.z-dn.net/?f=f%28x%29%3Dacos%28bx%2Bc%29%2Bd)
Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:
![f(x)=9cos(bx+c)+d](https://tex.z-dn.net/?f=f%28x%29%3D9cos%28bx%2Bc%29%2Bd)
The vertical shift is 11 units down, which means:
![f(x)=9cos(bx+c)-11](https://tex.z-dn.net/?f=f%28x%29%3D9cos%28bx%2Bc%29-11)
For period:
![\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D-9cos%28%5Cfrac%7B12%5Cpi%7D%7B7%7Dx%2B0%29-11%20%5C%5C%20f%28x%29%3D-9cos%28%5Cfrac%7B12%5Cpi%7D%7B7%7Dx%29-11%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the cosine function is shown below;
Answer:
your answer is 8
Step-by-step explanation:
If you divide 322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.
If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time
hope this help. Have a good day!
\
Bye
#7 is 0.04 and it is a terminating decimal
So the perimeter(P) of a rectangle would be:
P= 2L+2W
L being the length and W being the width.
The problem says the length is 4cm more than the width, so L= 4+W.
So if we substitute L with 4+W, we get:
P= 2(4+W) + 2W
Use the Distributive Property
P= 8+2W+2W
Combine like terms
P=8+4W
Since we're given the perimeter, we could replace P with 52. So:
52=8+4W
Subtract 8 to both sides
44=4W
Divide 4 to both sides
11=W
Therefore, the width is 11cm
And since the length is 4cm more than the width, we could add 4cm to 11cm to find that the length is 15cm
Thus, the dimensions of the rectangle are 15cm by 11cm