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3 years ago

If a number is an element of the set of real

Mathematics

1 answer:

kvasek [131]3 years ago

3 0

Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

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SashulF [63]

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hichkok12 [17]

Answer: You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4 (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b: -2x + 4x = 2x You know a = 1 because x² will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a x = -(2)/2(1) -2/2 = -1

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The y value is the 'c' in the quadratic formula. You get that from the L part of FOIL -2 × 4 = -8 .

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If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.

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