Multiply (x^3 + 3x^2 + 3)(3x^3 − 6x^2 − 8x + 1)
2 answers:
When multiplying two equations like this, you need to distribute. Distribute each term to get <span><span><span><span><span><span>3<span>x</span></span></span></span></span></span></span>
<span><span><span><span><span>+ <span>3</span></span></span></span></span></span>
<span><span><span><span>− <span>26</span></span></span></span></span>
<span><span><span>−<span>14</span></span></span></span>
<span><span>−<span>15</span></span></span>
<span>−<span>24x</span></span>+<span>3</span>
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Answer:
The solutions to the equation are and
Step-by-step explanation:
The factors of the quadratic function g(x) are (5x – 1) and (x + 4).
This means that:
So
And
The solutions to the equation are and
The image of the right rectangular prism is missing, so i have attached it.
Answer:
volume of the right rectangular prism = 625 in³
Step-by-step explanation:
The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.
Formula for volume of one cube is;
V = a³
where
a is the length of one side of the cube
We are told that this length is 2½ inches
Thus;
a = 2½ = 5/2 inches
>> V = (5/2)³
>> V = 125/8 in³
Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes
Therefore, the volume of the prism is;
Volume of one cube × 40
>> volume of the prism = (125/8) × 40
volume of the prism = 625 in³
