Adriyana wants to determine the difference quotient of p(x) = x3 + x.

She writes the following first few steps.

p(x + h)

= (x + h)3 + (x + h)

= x3 + 3x2h + 3xh2 + h3 + x + h

StartFraction p (x + h) minus p (x) Over h EndFraction = StartFraction (x cubed + 3 x squared h + 3 x h squared + h cubed + x + h) minus (x cubed + x) Over h EndFraction

What is the simplified expression for the difference quotient for all nonzero values of h?

3x2 + 3xh + h2
3x2 + 3xh + h2 + 1
3x2 + 3xh + h2 + h
3x2 + 3xh + h2 + 2x + 1

The answer is B

Step-by-step explanation:

the probability is 0

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you