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2 years ago

What is the vertex of x^2

Mathematics

1 answer:

Delvig [45]2 years ago

6 0

Answer:

The vertex is (0,0)

Step-by-step explanation:

To find the x coordinate of the vertex

x = -b/2a where ax^2 +bx +c

a=1 b=0 c=0

x = -0/2(1) = 0

The y value is found by substituting into the equation

y = (0)^2 =0

The vertex is (0,0)

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Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or a 3.

Tcecarenko [31]

Answer:

The probability that he will roll a 2 or a 3

$P((E_{1} UE_{2} ) = \frac{1}{3}$

Step-by-step explanation:

Step(i);-

Dimas is playing a game that uses a number cube.

The sides of the cube are labelled from 1 to 6

The total number of Exhaustive cases

n(S) = {1,2,3,4,5,6} = 6

Step(ii):-

Let E₁ be the event of roll a '2'

n(E₁) = 1

The probability that Dimas wants to roll a '2'

$P(E_{1} ) = \frac{n(E_{1} )}{n(S)} = \frac{1}{6}$

Let E₂ be the event of roll a '3'

n(E₂) = 1

The probability that Dimas wants to roll a '3'

$P(E_{2} ) = \frac{n(E_{2} )}{n(S)} = \frac{1}{6}$

But E₁ and E₂ are mutually exclusive events

P(E₁∩E₂) = 0

Step(iii):-

The probability that he will roll a 2 or a 3

we have P((E₁UE₂) = P(E₁)+P(E₂)

= $= \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$

$P((E_{1} UE_{2} ) = \frac{1}{3}$

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3 years ago

Consider the sets below.

Pepsi [2]

Answer:

B ⊂ A

Step-by-step explanation:

We know that:

A {x|x is a polygon}

So set A is the set of all polygons.

B {x|x is a triangle}

Set B is the set of all triangles.

First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.

For example, a triangle is a polygon, a rectangle is a polygon, etc.

Then, all triangles are polygons, but not all polygons are triangles.

So we can conclude that the whole set B is included in the set A.

Then the correct notation would be:

B ⊂ A

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Lubov Fominskaja [6]

Answer:

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