Answer:
x³ + 7x² + 15x + 9
Step-by-step explanation:
Given that the volume (V) of a rectangular pyramid is
V = 
A h ( A is the area of base and h the height ), then
V = (3x² + 12x + 9)(x + 3) ← factor out 3 from A
= × 3(x² + 4x + 3)(x + 3)
= (x² + 4x + 3)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis
= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms
= x³ + 7x² + 15x + 9
Thus the expression for the volume is
V = x³ + 7x² + 15x + 9
Part 1:
The pattern for the first sequence goes by the multiples of 12 and you can show your work by adding 12 to the following number. Example:
12 + 12 = 24
24 + 12 = 36
36 + 12 = 48
and go on...
The pattern for the second is one is that you have to multiply by 2. Example:
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
Part 2:
You would do the same steps shown above. Add twelve to the following number which is 60. So, 60 + 12 = 72.
You would also need to multiply 2 and 96 since its the given number. 96 × 2 =192.
Part 3:
The first sequence is an arithmetic sequence because the number 12 is constantly being added.
The second sequence is a geometric sequence because 2 is constantly being multiplied.
I hope this helps!
That is because The curiculem changes with time.
\[f(x)=\frac{9x^2+9x-18}{3x+6}\] is what you mean?
C) will not effected (the most frequent is still 600$)
