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3 years ago

14

The eighth grade math teachers decided to

1 answer:

Lubov Fominskaja [6]3 years ago

4 0

Answer:

this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half

Step-by-step explanation:

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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

3 years ago

If 3 is added to a number and the sum is multiplied by 7,gives 91 as result. Find the number.

WINSTONCH [101]

Answer:

10

Step-by-step explanation:

10+3 = 13

13 x 7 = 91

4 0

3 years ago

Read 2 more answers

Solve the division equation using the model. (1 point)

Nesterboy [21]

Answer:

3. 16

Explanation:

Factor the numerator and denominator and cancel the common factors.

5 0

3 years ago

Add the fractions and show me step by step on how to do it <br><br> 10/16 + 4/8

lana66690 [7]

10/16=5/8

5+4= 9

9/8

9/8= 1 1/8

1 and 1/8

6 0

3 years ago

In a very survey of 60 student,60 study botany 50 study zoology and 48 studied biology.if 38 study all,how many study zoology al

BabaBlast [244]

Answer:

12 study zoology alone and 0 study none

6 0

3 years ago