(2x - 5)(3x^2 - 4x +1)
6x^3 - 8x^2 + 2x - 15x^2 + 20x - 5
6x^3 - 23x^2 + 22x - 5
Luke: 2 miles in 40 minutes, 20 minutes a mile, (2/40 = 20 minutes a mile)
Luke's speed is 3 miles an hour (60minutes/20minutes a mile = 3miles).
Sally: 0.05 miles a minute, 60 minutes in an hour, 60 x 0.05 = 3 miles an hour. Or 0.05 miles a minute, 40 minutes walked, 40 x 0.05 = 2 miles walked.
There are a few other ways to show that they are accurate rates.
So yes, they are both correct rates.
Answer:
-9/10
Step-by-step explanation:
- Find the LCM of 10 and 3: 30
- Alter the numerators to fit the denominators: 3 × 3 = 9, -1 × 10 = -10
- Re-write the fractions: 9/30 ÷ -10/30
- 9/30 ÷ -10/30 = 9/30 × -30/10
- 9/30 × -30/10 = -270/300
I hope this helps!
Answer:
![D.\ y = 3\sin(2(x + \frac{\pi}{4}))](https://tex.z-dn.net/?f=D.%5C%20y%20%3D%203%5Csin%282%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29)
Step-by-step explanation:
Given
--- Amplitude
--- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
![y = A\sin(B(x + C)) + D](https://tex.z-dn.net/?f=y%20%3D%20A%5Csin%28B%28x%20%2B%20C%29%29%20%2B%20D)
Substitute values for A and C
![y = 3\sin(B(x + \frac{\pi}{4})) + D](https://tex.z-dn.net/?f=y%20%3D%203%5Csin%28B%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29%20%2B%20D)
By comparison, only option (D) has the above format where
![y = 3\sin(2(x + \frac{\pi}{4}))](https://tex.z-dn.net/?f=y%20%3D%203%5Csin%282%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29)
Hence (D) is correct
Answer:
hope this helps you with the graphs
Step-by-step explanation: