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3 years ago

Use the change of variables s=x+3y, t=y to find the area of the ellipse x2+6xy+10y2≤1.

Mathematics

1 answer:

MArishka [77]3 years ago

5 0

$t=y\implies s=x+3t\implies x=s-3t$

Then

$x^2+6xy+10y^2=(s-3t)^2+6(s-3t)t+10t^2=s^2+t^2\le1$

which is a disk of radius 1, hence with area $\pi$ .

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Por término de temporada varias tiendas liquidan pantalones. Su precio de temporada era de $6. 990. Si quiero comprar tres panta

nlexa [21]

La tienda que ofrezca la mejor oferta por tres pantalones será aquella que tenga el mayor descuento de liquidación posible.

<h3>Análisis contextual de una pregunta incompleta</h3>

En este problema no es posible determinar cuántas tiendas existen ni los descuentos de liquidación ( $x$ ) correspondientes a cada uno y que todas las tiendas venden los pantalones al mismo precio de temporada ( $C$ ).

Las condiciones <em>matemáticas</em> de cada variable es:

$C = 6990$ (1)

$x \in$ $[0, 1)$ (2)

$n = 3$ (3)

La fórmula matemática para el precio final ( $C'$ ), en pesos, es la siguiente:

$C' = 3\cdot (6990)\cdot (1-x)$ (4)

Consideremos el caso de $N$ tiendas, cada una con un descuento de liquidación por cada pantalón y que ese descuento es aplicable a la compra de tres pantalones, entonces la tienda que ofrezca la mejor oferta por tres pantalones será aquella que tenga el mayor descuento de liquidación posible. $\blacksquare$

Para aprender más sobre precios, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/26364348

3 0

2 years ago

B. What is the probability that you don’t roll a 2 or a 3, P (NOT a 2 or 3)? Explain your reasoning. (2 points possible)

puteri [66]

Answer:

The probability that you don’t roll a 2 or a 3 = 2/3

Step-by-step explanation:

Formula for Probability = Number of Possible Outcomes / Number of events

We are told in the question that it is just a one number cube. This means that :

We have the Probability of rolling the 6 sided cube and obtaining, 1, 2, 3, 4, 5, and 6.

We are told in the question to find the probability of not rolling a 2 or 3.

Hence, this means

Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6).

Therefore,

Probability (of rolling a 1) = 1/6

Probability (of rolling a 4) = 1/6

Probability (of rolling a 5) = 1/6

Probability (of rolling a 6) = 1/6

Therefore, Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6) = P(1) + P(4) + P(5) + P(6)

= 1/6 +1/6 + 1/6 + 1/6

= 4/6

= 2/3.

Therefore, the probability that you did not roll a 2 or 3 ( i.e P( not 2 or 3)) = 2/3

4 0

3 years ago

What is the range of f(x) = 4^x?

Oxana [17]

Answer: A because it goes from (0,infinity) so all positive real numbers

5 0

4 years ago

Can you please help me answer this question and explain how you figured it out.

bearhunter [10]

40% would transfer into the decimal value of .40 so all you have to do is multiply .4 x 75 that’s going to give you the answer. It would be 30

6 0

3 years ago

What reasoning can be used for the following: Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral

horrorfan [7]

We are given statements : Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral.

Premise: The triangle is equilateral.

According to law of Detachment : Statement 1: If q, then q.

and Statement 2: p

Conclusion: q.

According to given reasoning :

p : If the sides of a triangle are all 4 cm.

q : Then the triangle is equilateral.

Therefore, Statement 1 : If( the sides of a triangle are all 4 cm), then (the triangle is equilateral).

Statement 2: (the triangle is equilateral).

Conclusion : The sides of the triangle are 4 cm.

Therefore, option B is correct "Law of Detachment".

7 0

3 years ago