Answer:
18.11 miles per gallon
Step-by-step explanation:
Get the miles traveled from the trip odometer, or subtract the original odometer reading from the new one.
Divide the miles traveled by the amount of gallons it took to refill the tank. The result will be your car’s average miles per gallon yield for that driving period.
44,895-44,587 = 308 miles
308/17 = 18.11
Hey there!
A parent function is the most basic function in any group of functions. For example, f(x) = x^2 is the parent function for quadratic functions, and y = x is the parent function for linear functions. When there's nothing added, subtracted, multiplied, or divided to the function.
For A, we see that we're multiplying 2 times 3^x, and since this is not any alternation of any parent function or any parent function in particular, we can rule it out.
For B, we see that 3 is being added to x^2, so it cannot be a parent function.
For C, we see that 2 multiplied to e, therefore it cannot be the mot basic function.
Finally, for D, we see a function that looks similar to the quadratic parent function and is very simple itself. Any alterations to this is any other quadratic function
Your answer is D.
Hope this helps!
Answer:
The particle will travel 6 feet in first 2 seconds.
Step-by-step explanation:
We have been given that a particle moves according to the velocity equation
. We are asked to find the distance that the particle will travel in its first 2 seconds.
![s(t)=\int |v(t)|dt](https://tex.z-dn.net/?f=s%28t%29%3D%5Cint%20%7Cv%28t%29%7Cdt)
![s(t)=\int\limits^2_0 |6t^2-18t+12|dt](https://tex.z-dn.net/?f=s%28t%29%3D%5Cint%5Climits%5E2_0%20%7C6t%5E2-18t%2B12%7Cdt)
Now, we will eliminate the absolute value sign as:
![s(t)=\int\limits^1_0 6t^2-18t+12dt+\int\limits^2_1 -6t^2+18t-12dt](https://tex.z-dn.net/?f=s%28t%29%3D%5Cint%5Climits%5E1_0%206t%5E2-18t%2B12dt%2B%5Cint%5Climits%5E2_1%20-6t%5E2%2B18t-12dt)
![s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B%5Cfrac%7B6t%5E3%7D%7B3%7D-%5Cfrac%7B18t%5E2%7D%7B2%7D%2B12t%5D%5E1_0%20%2B%5B%5Cfrac%7B-6t%5E3%7D%7B3%7D%2B%5Cfrac%7B18t%5E2%7D%7B2%7D-12t%5D%5E2_1)
![s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B2t%5E3-9t%5E2%2B12t%5D%5E1_0%20%2B%5B-2t%5E3%2B9t%5E2-12t%5D%5E2_1)
![s(2)=2(1)^3-9(1)^2+12(1)-(2(0)^3-9(0)^2+12(0))-2(2)^3+9(2)^2-12(2)-(-2(1)^3+9(1)^2-12(1))](https://tex.z-dn.net/?f=s%282%29%3D2%281%29%5E3-9%281%29%5E2%2B12%281%29-%282%280%29%5E3-9%280%29%5E2%2B12%280%29%29-2%282%29%5E3%2B9%282%29%5E2-12%282%29-%28-2%281%29%5E3%2B9%281%29%5E2-12%281%29%29)
![s(2)=2-9+12-(0)-16+36-24-(-2+9-12)](https://tex.z-dn.net/?f=s%282%29%3D2-9%2B12-%280%29-16%2B36-24-%28-2%2B9-12%29)
![s(2)=5-(0)-4-(-5)](https://tex.z-dn.net/?f=s%282%29%3D5-%280%29-4-%28-5%29)
![s(2)=5-4+5](https://tex.z-dn.net/?f=s%282%29%3D5-4%2B5)
![s(2)=6](https://tex.z-dn.net/?f=s%282%29%3D6)
Therefore, the particle will travel 6 feet in first 2 seconds.