We have the following expression:
(2x ^ 3-12x ^ 2 + 10x-108) / x-6
Dividing the expression between x-6 we have:
quotient: 2x ^ 2 + 10
remainder: - 48
We can check the result then rewriting the expression:
2x ^ 3-12x ^ 2 + 10x-108
= (2x ^ 2 + 10) * (x-6) - 48
= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
= 2x ^ 3-12x ^ 2 + 10x-108
Division OK.
Answer:
The result of the division is:
quotient: 2x ^ 2 + 10
remainder: - 48

5 0

3 years ago

Running at the same constant rate, 5 identical machines can produce one lot containing a certain number of toys per hour. At thi

inessss [21]

Answer:

$1.6\cdot{x}$

Step-by-step explanation:

If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:

Here the machines are constant and the rate is x toys per hour:

If 5 machines make x per hour:

Rate is x/1 hour

The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:

Rate for 5 machines is x and for 8 machines is y:

$y=1.6\cdot{x}$

6 0

3 years ago

Ryan bought a calculator for $200 he resold it and made a profit of 25% how much did he sell the calculator for?

vladimir1956 [14]

He sold the calculator for $250

5 0

4 years ago