There are 9 apples in each<br> Box. How many Apples are in <br> in 6 boxes

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If $a = x^{2}$ and $b = x$ , then:

$c = \frac{x^{2}}{x}$

$c = x$

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If $a = 3\cdot x^{3}$ and $b = x$ , then:

$c = \frac{3\cdot x^{3}}{x}$

$c = 3\cdot x^{2}$

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If $a = 10^{2x}$ and $b = 3\cdot 10^x$ , then:

$c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}$

$c = \frac{1}{3}\cdot 10^{2\cdot x -x}$

$c = \frac{1}{3}\cdot 10^x$

Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.

If $a = 5\cdot e^{x}$ and $b = -3\cdot e^{x}$ , then:

Example

$c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}$

$c = -\frac{5}{3}$

It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.

Example

$5\cdot a^2\cdot x -9$

7 0

3 years ago

Which of these could be the graph of F(x) = ln x + 2?

vodomira [7]

Could you past the graphs. I would like to help:)

7 0

3 years ago

Read 2 more answers

a crane lifts a pallet of concrete blocks 9 ft from the back of the truck. the truck drives away and the crane lowers the pallet

goblinko [34]

Answer:
The final position is 5 feet below the back of the truck
Step-by-step explanation:
* Lets explain how to solve the problem
- A crane lifts a pallet of concrete blocks 8 feet from the back of
a truck
- The crane lowers the pallet 13 feet after the truck drives away
- Assume that the zero level of the position of the ballet of concrete
blocks is the back of the truck
∵ The crane lifts the pallet of concrete blocks 8 feet from the back
of the truck
- That means it take the pallet from zero to 8
∴ The height of the pallet of concrete blocks is 8 feet over
the starting position
∵ The crane lowers the pallet of concrete blocks 13 feet
- That means the crane lower the pallet from the height 8 and
lift it down 13 feet, so we must to take out from the 8 feet the
13 feet to find the final position of the pallet of concrete blocks
∴ The pallet position is ⇒ 8 - 13 = -5
∴ The position of the pallet of concrete blocks is 5 feet below the
starting position which is the back of the truck
* The final position is 5 feet below the back of the truck

8 0

3 years ago

There are 9 apples in each Box. How many Apples are in in 6 boxes