The distance traveled by a toy car can be modeled by D(t) = t3 − 3t2 + t − 3, where t > 3 represents time in seconds. If the car traveled for t − 3 seconds, identify the expression that represents the speed of the toy car.

The expression  that represents the speed of the toy car is .

Given that,

The distance traveled should be

Here t>3

Time taken by car = t -3 seconds

Now the expression should be

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Step-by-step explanation:

We are given that

Distance traveled by a toy car

Where t>3

Time taken by car =t-3 seconds

We have to find the expression which represents the speed of the toy car.

We know that

Using the formula

Hence, the expression  which represents the speed of the toy car

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

using pemdas, (order of operations) you'll see the answer is 24.