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serious [3.7K]
3 years ago
6

Damian filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every ho

ur driven, and after driving for 3 hours, there were 6 gallons of gas left in the tank. Write an equation for the function G(t),G(t), representing the number of gallons of gas remaining in Damian's gas tank after tt hours of driving.
Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

G(t)=12-2t

Step-by-step explanation:

Okay, first we need to find out how many gallons he lost, so we multiply 2 by 3 and get 6 gallons used.

Next, now knowing 6 gallons are left and 6 have been used we now add to get 12 gallons originally.

Then, now that we have the rate of change and the starting number we put together the equation to the way that best suits the question

Last, to check our work plug six into t next to the two and solve to get six gallons used,

I hope this helps you

If i am right a thanks would be appreciated if i am wrong please leave a comment

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pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

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Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

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Area =                                      <u>    60 m^2</u>

Total Area                                  102 m^2

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Step-by-step explanation:

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