Answer:
The quotient is: x-7
The remainder is: -2
Step-by-step explanation:
We need to divide (x^2 - 13x +40) divided by (x- 6)
The quotient is: x-7
The remainder is: -2
The division is shown in the figure attached
The result of
is 
<h3>Composite functions</h3>
Composite functions are functions that are gotten by combining multiple functions
<h3>The functions</h3>
The functions are given as:


To calculate f(x) * g(x), we have:
![f(x) \times g(x) = [x^2 + 8x + 15] \times [x + 5]](https://tex.z-dn.net/?f=f%28x%29%20%5Ctimes%20g%28x%29%20%3D%20%5Bx%5E2%20%2B%208x%20%2B%2015%5D%20%5Ctimes%20%5Bx%20%2B%205%5D)
Expand the above expression

Collect like terms

Evaluate the like terms

Hence, the result of
is 
Read more about composite functions at:
brainly.com/question/10687170
Answer:
4(x-1)units
Step-by-step explanation:
In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.
Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where
L is the length(shorter side) and x is the breadth (longer side).
According to the question, the shorter side(L) is 2 units less than the longer side(x). Mathematically,
L = x-2
Substituting L = x-2 into the formula of perimeter of a rectangle we have,
P = 2(x-2) + 2x
P = 2x-4+2x
P = 4x-4
P = 4(x-1)
The perimeter of the rectangle will be 4(x-1)units
Answer:
B is the answer :)
Step-by-step explanation:
25% of the results are inbetween each of the areas. They're called quartiles :)