We will make 2 into a fraction, 2/1. Then, we will multiply it by 4 to get a common denominator. We have 8/4 now. Subtract 8/4 by 1/4, which will give us 7/4. Turn that into a mixed number.
1 3/4 is our answer!
Answer:
The amplitude is 1/5
Step-by-step explanation:
Given
![y = -\frac{1}{5}\sin(x)](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%5Csin%28x%29)
Required
Determine the amplitude
The general cosine function is:
![y = A\sin(k(x + c)) +d](https://tex.z-dn.net/?f=y%20%3D%20A%5Csin%28k%28x%20%2B%20c%29%29%20%2Bd)
Where
![Amplitude = |A|](https://tex.z-dn.net/?f=Amplitude%20%3D%20%7CA%7C)
Compare
and ![y = -\frac{1}{5}\sin(x)](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%5Csin%28x%29)
![A = -\frac{1}{5}](https://tex.z-dn.net/?f=A%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
So:
![Amplitude = |-\frac{1}{5}|](https://tex.z-dn.net/?f=Amplitude%20%3D%20%7C-%5Cfrac%7B1%7D%7B5%7D%7C)
![Amplitude = \frac{1}{5}](https://tex.z-dn.net/?f=Amplitude%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
Answer:
Not only that, some of them have even had hair, eyes, and hands! The average mouth produces over 25,000 quarts of saliva, which helps protect your mouth from germs, over a lifetime – enough to fill two swimming pools!
Step-by-step explanation:
5? Did you mean to insert a picture
Answer:
y = 40x + 150
Step-by-step explanation:
He starts with 150.
150
He adds 40 per month. Let x represent months: so every x, he gets 40. With 2 x, he gets 80: so we multiply 40 and x and add that to his starting number.
150 + 40x
And let's represent his end amount of money with y, and set it equal.
150 + 40x = y
<u>For the other question:</u>
x = number of months
Bob = 150 + 40x
Andrea = 100 + 50x
100 + 50x > 150 + 40x
50x > 50 + 40x
10x > 50
x > 5
So starting month 6, Andrea will have saved more than Bob.