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Liula [17]
3 years ago
12

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

3 + 3b 2 - 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
2 answers:
dlinn [17]3 years ago
6 0

Answer:

The dimensions of the box are (b+3), (b-2) and (b+2).

Step-by-step explanation:

The volume of a rectangular box is

V=l\times w\times h    

The volume of a certain box is

V=b^3+3b^2-4b-12

First of all find the factors of above expression by grouping method.

V=b^2(b+3)-4(b+3)

V=(b+3)(b^2-4)

V=(b+3)(b^2-2^2)

V=(b+3)(b-2)(b+2)                 [\because a^2-b^2=(a+b)(a-b)]  

Volume of a rectangle is the product of its dimensions, therefore the dimensions of the box are (b+3), (b-2) and (b+2).

vlada-n [284]3 years ago
5 0
I think its (b+3) (b+2) (b-2) maybe wrong not sure
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3 years ago
Rksheet
VLD [36.1K]

See below for the terms, coefficients, and constants in the variable expressions

<h3>How to determine the terms, coefficients, and constants in the variable expressions?</h3>

To determine the terms, coefficients, and constants, we use the following instance:

ax + by + c

Where the variables are x and y

  • Then the terms are ax, by and c
  • The coefficients are a and b
  • The constant is c

Using the above as guide, we have:

A) 2b + 2ac+5

  • Terms: 2b, 2ac, 5
  • Coefficient: 2, 2 and 5
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B) 34abx + 16y +1

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  • Coefficient: 34ab, 16
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C) st +4u + v

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Read more about terms, coefficients, and constants at:

brainly.com/question/14625487

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5 0
1 year ago
Landen Company uses a single plantwide overhead rate of $100 per direct labor hour (DLH). Landen has two products as follows: ba
KATRIN_1 [288]

Answer:

$5,500

Step-by-step explanation:

Since Landen Company uses a single overhead rate of $100 per direct labor hour, the total amount allocated to the deluxe and basic chairs is given by the sum of the DLH used up for both products multiplied by the overhead rate:

A =(20+35)*\$100\\A=\$5,500

The total amount allocated to these products is $5,500.

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3 years ago
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Alchen [17]
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Which of the following is equivalent to 2 stretching below? (14-9i)+(2+3i)..​
Flauer [41]

Answer:

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Step-by-step explanation:

We need to find the equivalent of (14-9i)+(2+3i).

We need to add the two expressions.

(14-9i)+(2+3i) = 14+2 -9i+3i

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Here, the real part is 16

The imaginary part is -6

Hence, the required answer is equal to 16-6i.

7 0
3 years ago
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