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kobusy [5.1K]
3 years ago
11

The dimensions of the base of Box 1 are x by 3x. The base area of Box 1 is: 3x 3x2 3x3 4x

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0

Answer:

The answer to the 1st question "The base area of Box 1 is..."

<h2>B.   3x2</h2>

The answer to the 2nd question, "The dimensions of the base of Box 2 are x by 4x − 1." is..

<h2>A.   4x2 – x</h2>

Step-by-step explanation:

Lunna [17]3 years ago
4 0
<h3>The base area of box 1 is 3x^2\ square\ units</h3>

<em><u>Solution:</u></em>

Given that,

The dimensions of the base of Box 1 are x by 3x

Length = x

Width = 3x

To find: base area of box 1

<em><u>The base area is given as:</u></em>

base\ area = length \times width\\\\base\ area = x \times 3x\\\\base\ area = 3x^2

Thus base area of box 1 is 3x^2\ square\ units

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The profit P (in thousands of dollars) for an educational publisher can be modeled by P 52b31 5b21b where b is the number of wor
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Answer:

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Step-by-step explanation:

The correct question is

The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?

we have

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For P=\$5,000

substitute in the equation and solve for b

Remember that the profit and the number of workbooks is in thousands

so

P=5

5=-b^3+5b^2+b

Using a graphing tool

Solve the cubic function

The solutions are

x=-1

x=1

x=5

therefore

The lesser number of workbooks are 1,000

<u><em>Verify</em></u>

For b=1

P=-(1)^3+5(1)^2+1  

P=5  -----> is in thousands

so

P=\$5,000 ----> is ok

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