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
Answer:
<em>Natalie's total spread = 18</em>
Step-by-step explanation:
The 'spread' of a crossword puzzle tournament player is computed as his/her total score minus the opponent's total score.
Natalie's scores are:
N=410+380+395+370+320+360=2,235
Opponent's scores are:
O=395+360+412+355+340+355=2,217
Natalie's total spread = 2,235 - 2,217 = +18
Natalie's total spread = 18
Simplify the <u>expression</u>
Answer:
y = 2/3x + 4
Step-by-step explanation:
Step 1: Find slope
m = (4-0)/(0+6)
m = 2/3
Step 2: Write in y-int (0, 4)
y = 2/3x + 4
Answer:
Answer is 81.
Step-by-step explanation:
Given two expressions are 
and 
Now we divide first expression by the second.
Therefore 81 is the answer.
