PLEASE HELP 15 POINTS
1 answer:
You might be interested in
Answer:
466
Step-by-step explanation:
Ok to solve this problem we need to find the volume of the rectangular prism and subtract the volume of the cube from it.
The volume of the rectangular prism is Length * Width * Height.
L = 15
W = 9
H = 4
15 * 9 * 4 = 530
The volume of the cube is
= 4
4^3 = 64
530-64 = 466 cm^3
x = - 1
given = x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 : = 2 and - 1 + 3 = 2 ← true
x = - 8 : = 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1