The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 800 t − 120 t 2 , where t is in hours, and t =0 is 6am. how many cars pass through the intersection between 6 am and 8 am?

There is a total of 2080 cars passing through the intersection between 6 am and 8 am and this can be determined by doing integration.

Given :

The traffic flow rate (cars per hour) across an intersection is , where t is in hours, and (t = 0) is 6 am.

Integration should be carried out to determine the number of cars passing through the intersection between 6 am and 8 am.

         = 800 + 1600 - 320

         = 2080

So, there is a total of 2080 cars pass through the intersection between 6 am and 8 am.

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2080

Step-by-step explanation:

Given:

Looking for:

Solve:

its 4 because 2 times 2 is 4, if you double the number two you get four

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3