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Basile [38]
3 years ago
8

Which polynomial function has a leading coefficient of 1 and roots 21 and 31 with multiplicity 1?

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer:

Which i think is the first one, there may just be a typing error.

Step-by-step explanation:

A polynomial of order n has the following format:

f(x) = a(x - x_{0})(x - x_{1})...(x - x_{n-1})

In which a is the leading coefficient, x_{0}, x_{1},..., x_{n-1} are the roots.

If a root appears m times, they are said to have multiplicity m.

Leading coefficient of 1 and roots 21 and 31 with multiplicity 1

f(x) = 1(x - 21)(x - 31)

So the correct answer is:

f(x) = 1(x - 21)(x - 31)

Which i think is the first one, there may just be a typing error.

You might be interested in
Which table has a constant of proportionality between y and x of 1/5? (from khan academy)
katovenus [111]

Answer:

C

Step-by-step explanation:

Solve for each choice until you get the answer 1/5.

A.

2 - 4/5

10/5 - 4/5 = 6/5; this is not 1/5

B

8 - 8/5

40/5 - 8/5 = 32/5; this is not 1/5

C

3 - 16/5

15/5 - 16/5 = -1/5

5 - 26/5

25/5 - 26/5 = -1/5

7 - 36/5

35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5

6 0
2 years ago
Un alumno multiplica un número por 32 en lugar de multiplicarlo por 23, obteniendo un producto mayor en 54 al producto original.
romanna [79]

Answer:

La suma de cifras del producto original es igual a 12.

Step-by-step explanation:

De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:

32x=y+54

Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:

y=23x

Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:

32x=23x+54

32x-23x=54

9x=54

x=54/9

x=6

Finalmente, puedes reemplazar el valor de x en y=23x:

y=23x

y=23*6

y=138

Suma de cifras: 1+3+8 = 12

De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.

5 0
2 years ago
A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the poi
liubo4ka [24]

Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

<u>To find the probability</u>

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%

 

8 0
2 years ago
14 b + 9 b – 4 – 12b Help meh pls Xd
trasher [3.6K]

Answer:

Simplify the expression.

11 b − 4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If w # 0, what is the additive inverse of the
laila [671]

The additive inverse of the expression -3/w is 3/w

<h3>How to determine the additive inverse?</h3>

The expression is given as:

-3/w

The law of additive inverse states that

For an expression x, the additive inverse is -x

This means that the additive inverse of the expression -3/w is 3/w

Hence, the additive inverse of the expression -3/w is 3/w

Read more about additive inverse at

brainly.com/question/1548537

#SPJ1

If w≠0, what is the additive inverse of the expression below? -3/w

7 0
1 year ago
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