9514 1404 393
Answer:
- 84 small cubes
- 3 1/9 unit cubes
Step-by-step explanation:
A cube that is 1/3 ft on a side will fit 3 in a foot. In terms of the 1/3 ft small cube, the dimensions of the prism are ...
1 1/3 ft = 4 small cubes
1 ft = 3 small cubes
2 1/3 ft = 7 small cubes
Then the volume in terms of small cubes is ...
V = LWH = (4)(3)(7) = 84 small cubes
__
There are 3×3×3 = 27 small cubes in a 1-ft unit cube, so the prism volume in terms of unit cubes is ...
84/27 = 3 1/9 . . . unit cubes
__
<em>Additional comment</em>
The largest dimension of the prism is just over 2 ft, so the maximum number of unit (1 ft) cubes that will fit is 2. To fill the volume with 3 1/9 unit cubes, those would have to be cut and fit into the space.
Www.mathcentre.ac.uk/resources/uploaded/mc-ty-polynomial-2009-1.pdf<span>f(x)=4x3. − 3x. 2 + 2 is a polynomial of degree 3, as 3 is the highest power of x in the formula. This is called a cubic polynomial, or just a cubic.
</span>
<h3><u>
Answer:</u></h3>
<u />
<h3><u>
Step-by-step explanation:</u></h3>
You could solve this problem by either: Factoring or by using the Quadratic Formula.
SOLVING BY FACTORING STEPS
<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>
<em />
<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>
<em />
<em>STEP 3: </em><em>Simplify each term.</em>
<em />
<em>STEP 4: </em><em>Simplify by adding terms.</em>
<em />
<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>
<em />
<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>
<em />
SOLVE BY USING THE QUADRATIC FORMULA STEPS
<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>
<em />
<em />
<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>
<em />
<em />
<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>
<u />
Answer:
one solution
Step-by-step explanation:
they have different slopes and are linear