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2 years ago

13

What is the polynomial function of lowest degree with rational real coefficients, and roots -3 and square root of 6?

1 answer:

telo118 [61]2 years ago

4 0

9514 1404 393

Answer:

f(x) = x³ +3x² -6x -18

Step-by-step explanation:

In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...

f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)

f(x) = x³ +3x² -6x -18

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s344n2d4d5 [400]

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

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3 years ago

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2 years ago

A number cube has faces numbered 1 through 6, and a coin has two sides, "heads" and "tails". The

Mama L [17]

Answer:

The <em>required probability</em> is $\dfrac{1}{12}$ .

Step-by-step explanation:

Let <em>A </em>be the event of rolling the number cube.

Let <em>B</em> be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.

$\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}$

where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.

Formula for probability of an event <em>E</em> is:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.

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2 years ago

10 - 2x, when x = 3<br>

Nesterboy [21]

Answer:

4

Step-by-step explanation:

Plug in 3 as x in the expression:

10 - 2x

10 - 2(3)

10 - 6

= 4

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