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Otrada [13]
2 years ago
15

The volume of a rectangular box is found by multiplying its length, width, and height: V = lwh. A certain box has a volume of b3

+ 3b2 - 4b - 12. Factor the four-term polynomial to find the dimensions of the box. Hint: Use factoring by grouping to factor the four term polynomial first.
Mathematics
1 answer:
Zepler [3.9K]2 years ago
8 0

Answer:

  length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

  (b^3 +3b^2) -(4b +12)

  = b^2(b +3) -4(b +3) . . . . . factor each pair of terms

  = (b^2 -4)(b +3) . . . . . . . . . write as a product

  = (b -2)(b +2)(b +3) . . . . . . use the factoring of the difference of squares

The three factors are (b-2), (b+2), and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

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Susan open an account with $100. She deposits $100.00 every year to an account that earns simple interests at a rate of 5%. If s
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2 years ago
Read 2 more answers
2. An articulated truck is loaded with cylindrical containers filled with oil. The height of each container is 80cm and the diam
RoseWind [281]

The volume of each container is: 25,133 cm^{3}

Given:

height of container (h) = 80 cm

diameter of container (d) = 20 cm

radius = half of diameter = \frac{1}{2} of 20 = 10 cm

Recall:

Volume of a cylinder = \pi r^{2} h

<em>Substitute the values into the formula:</em>

Volume = \pi \times 10^{2} \times 80 = 25132.74123

Therefore, volume of each cylinder is approximately 25,133 cm^{3}

Learn more about volume of cylinder here:

brainly.com/question/971817

8 0
2 years ago
The sum of two numbers is less than 2. If we subtract the second number from the first, the difference is greater than 1. What a
Anna007 [38]

Answer:

the value of these two numbers are 1/2 and 3/2

Step-by-step explanation:

Given that:

x+y < 2 ---- (1)

y - x > 1 ---- (2)

From equation (2), let y  > 1 + x then substitute it into equation (1)

x + 1 + x < 2

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From equation (2), replace the value of x to be 1/2

y - 1/2 > 1

y > 1 + 1/2

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5 0
2 years ago
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