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Stels [109]
2 years ago
15

Under what operations is the system of polynomials not closed?.

Mathematics
1 answer:
natima [27]2 years ago
7 0

Answer:

Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.

...

Polynomials: YES or NO

3x½ NO - exponent is not a whole number

2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.

Step-by-step explanation:

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WHAT IS THE DIFFERENCE BETWEEN ARITHMETIC AND GEOMETRIC SEQUENCES AND SERIES'?
uysha [10]
A sequence<span> is a set of numbers.
</span>If the difference between two consecutive terms is constant, then the sequence is called arithmetic and th<span>e difference is called the common difference. 
</span><span>If the numbers in the sequence follow a pattern were the next term is found by multiplying by a constant called the common ratio, r, then the sequence is geometric sequence.</span>
8 0
3 years ago
Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0
2 years ago
The equation of the line passing through the points (3, 16) and (5, 10) can be expressed as y = mx + b. Give the value of b
Alenkinab [10]

we are given two points as

(3, 16) and (5, 10)

firstly , we will find slope

slope is m

so, we can use formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug points

m=\frac{10-16}{5-3}

m=\frac{-6}{2}

m=-3

we can plug it in y=mx+b

we get

y=-3x+b

now, we can select any one points

and find b

(3,16)

x=3 and y=16

16=-3*3+b

we can find b

b=25

now, we can plug back b

and we get

y=-3x+25

so, equation is

y=-3x+25

and

b=25...............Answer

8 0
2 years ago
Factorise fully x^3-x
MA_775_DIABLO [31]

Answer:

x(x+1)(x-1)

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

x^3-x=x(x^2-1)

Now notice that we have a difference of squares (x^2-1). Given a difference of squares, a^2-b^2, this can always be factored into (a+b)(a-b). We can use this in this case: x^2-1=(x+1)(x-1).

So, our final factorized form is: x(x+1)(x-1).

Hope this helps!

3 0
3 years ago
How do you factor something
Zepler [3.9K]
Finding what a number is diviseble by or finding multiples of a number
3 0
3 years ago
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