We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
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I hope my answer has come to your help. God bless and have a nice day ahead!
It is two units shifted downwards. you can see it by substituting x=0 for both equations
Answer:
The car uses less gas
They use the same amount of gas after 
miles
Step-by-step explanation:
Given
The table represents the car mileage
--- The van
First, calculate the car's slope (m)
From the table, we have:
So, we have:
Calculate the equation using:
implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
--- The van
By comparison to: 
This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:
This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
--- The van
--- The car
Equate both
Collect like terms
Take LCM
Solve for -7x
Solve for x
Pretty sure the answer is D:
Because the equation is in the format y=mx+c (c being the y intercept), we know that the y intercept (or where the line will cross the y axis) will be -9.
B also says -9 but we have to be careful because it states that the x axis is -9 rather than the y axis.
Hope that helped you understand.
Range is the highest value minus the lowest value
