Solve using long division:

(3x^2+7x-20) / (x+4)

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Step-by-step explanation:

Long division:

Step 1:

We divide '3x²' by 'x' to get the first term of quotient.

⇒

Now, we multiply '3x' to

⇒

Now, we subtract from the given numerator . This gives,

Step 2:

We divide the first term of the above result by 'x' again to get the second term of the quotient.

⇒

Now, we multiply '-5' to

⇒

Now, we subtract from the result obtained at the last of step 1 . This gives,

So, we stop division as we got a constant after subtraction. The constant is called the remainder and here the remainder is 0.

The quotient is our

the first dot plot best represents the data

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1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours