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2 years ago

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Evaluate the expression when a=14 and b=6 −8ab= ?

2 answers:

Allisa [31]2 years ago

4 0

Answer:

$- 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672$

Natalija [7]2 years ago

3 0

Answer:

$\\ \tt- 8ab$

$\\ \tt = - 8 \times 14 \times 6$

$\\ \tt= - 672$

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Perform the indicated opera<br> 6) g(n)= n2 - 1<br> h(n)= 4n+1<br> Find (g. h)n)

DaniilM [7]

$(g.h)(n)\,\,is\,\,4n^3+n^2-4n-1\\$

Step-by-step explanation:

We are given:

$g(n)=n^2-1\\h(n)=4n+1$

We need to find (g.h)(n)

Finding (g.h)(n)

$(g.h)(n)=g(n).h(n)\\ (g.h)(n)=(n^2-1)(4n+1)\\ (g.h)(n)=n^2(4n+1)-1(4n+1)\\ (g.h)(n)=4n^3+n^2-4n-1\\$

So, $(g.h)(n)\,\,is\,\,4n^3+n^2-4n-1\\$

Keywords: Composite Function

Learn more about Composite Function at:

#learnwithBrainly

6 0

3 years ago

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

Shapes that always have perpendicular lines

amm1812

A couple of shapes that have perpendicular lines are right triangles, and rectangles.

6 0

3 years ago

7. On Saturday, a craft store had 150 visitors, and 80% of the visitors made a purchase. Of the customers who made a purchase, 3

torisob [31]

Answer:

24 customers bought 3+ items.

Step-by-step explanation:

80% of 150 = 120

39/120 bought 1 item

57/120 bought 2 items

39 + 57 = 96

120 - 96 = 24

24 customers bought 3+ items.

Hope this helps! :)

8 0

3 years ago

Use the given parallelogram to find the length of side AB. A parallelogram has vertices A B C D. Side A B is labeled x plus 3, a

vekshin1

Answer:

c

Step-by-step explanation:

i an smart

6 0

2 years ago