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2 years ago

11

A company has an annual picnic for its 1,600 employees and gives a pen with the company logo to each employee. The picnic commit

tee orders 20 boxes of pens. How many pens are there in each box?

1 answer:

topjm [15]2 years ago

5 0

1600÷20=80
there are 80 pens in each box

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Help me ;v; and thank you sm!

cupoosta [38]

27 Cm² (C)

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2 years ago

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Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial $p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17$ . The polynomial is in standards when has the form $p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}$ , where $n$ is the order of the polynomial. The example has the following information:

$n = 3$ , $a_{0} = 17$ , $a_{1} = -6$ , $a_{2} = 2$ , $a_{3} = 5$ .

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials $p_{1}$ and $p_{2}$ such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$ and $p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}$ , where $m \geq n$

$p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}$

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be $p_{1}$ a polynomial such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$

And $\alpha$ an scalar. If the polynomial is multiplied by the scalar number, then:

$\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}$

Lastly, the following expression is constructed by distributive property:

$\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}$

Hence, polynomials are closed with respect to multiplication.

4 0

2 years ago

4. What is step 2 in the problem-solving process?

Katena32 [7]

A is the answer:):):)

8 0

2 years ago

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F(x)=2+3(2x+4)-8 is??

Vikki [24]

X = -6/5 I hope this helps

3 0

2 years ago

YOU GO TO THE STORE WITH $100. YOU HAVE A LIST OF THINGS TO BUY THAT WILL COST $70 IN TOTAL. YOU WANT TO BUY OREOS. OREOS COS

madreJ [45]

Answer:

10

Step-by-step explanation:

First, you would subtract 100-70 to get 30

Then, you would do 30/3 to learn that you could still buy 10 packs of Oreos with the remaining money.

5 0

2 years ago