Answer:
The volume = 
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume = 
X and Y are supplementary, that means X + Y = 180.
But we have, X = Y +24, then
X + Y = Y + 24 + Y = 2Y + 24 = 180
Then
2Y = 156
Y = 78
Then X = 78 + 24 = 102.
The origin is (0,0)
y = mx + b
slope(m) = 2/3
(0,0)...x = 0 and y = 0
now we sub and find b, the y int
0 = 2/3(0) + b
0 = b
so ur equation is y = 2/3x + 0...or just y = 2/3x
268 gallons are remaining. The equation would be y=324-7x, with x being 8. 7(8) is 56, and then you take away 56 from 324, which then gives you 268 gallons remaining
Answer:
sorry if this is wrong
Step-by-step explanation:
a. 3
b.15
c.8