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
A parallelogram is just a rectangle with the sides angled, it’s pretty much the same as a rectangle and all your working out should be the same as a rectangle
1)44
3)44
4)136
i want to say that the other side 5-8 are the same as 1-4 but im not totally sure
Answer:
a = 4
b = -2
Step-by-step explanation:
If the given function is continuous at x = 1






And for the continuity of the function at x = 1,

Therefore, (a + b) = 2 -------(1)
If the function 'f' is continuous at x = 2,






Therefore, 
2a + b = 6 -----(2)
Subtract equation (1) from (2),
(2a + b) - (a + b) = 6 - 2
a = 4
From equation (1),
4 + b = 2
b = -2
2x+6=2(x+3)
Step-by-step explanation:
let x represent the unknown number