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Pavel [41]
4 years ago
6

Given A = {a, b, c}, how many subsets does A have including ∅? a. 4 b. 7 c. 8

Mathematics
1 answer:
djverab [1.8K]4 years ago
8 0
A set of n elements has 2^n subsets.

There are 3 elements in the set A, so the number of subsets is 2^3=8

You can write them out:
\{\{\}, \{a\}, \{b\}, \{c\}, \{a, b\}, \{a, c\}, \{b, c\}, \{a, b, c\}\}
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Answer:

3 apples

Step-by-step explanation:

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Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m double root real and
Jlenok [28]

Answer:

The roots of the equation 2m²+3=m are non-real roots.

Step-by-step explanation:

Given equation:

2m²+3=m

2m²-m+3=0

Here, from the equation we can obtain the following values:

a = 2, b = -1, c = 3

Discriminant of an equation is given as:

D = b²-4ac

= (-1)²-4(2)(3)

= 1 - 21

= -20

Discriminant can tell what kinds of roots the equation have.

In our case, the discriminant is less than 0.

When D < 0, the roots of the equation are complex conjugates.(non-real)

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3 years ago
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