Dividing is changed to multiplication by inverting the second fraction. So:
If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.
Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of
is
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
Answer:

Step-by-step explanation:
We are given the following in the question:
Cost per unit = $59
Let x units of product be sold.
We have to write an expression the amount of money received (revenue R) from the sale of x units of the product.
Revenue:
- It is the total income and is obtained by multiplying the quantity of goods sold by the unit price of the goods.
Revenue =

is the required expression of revenue.