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Dimas [21]
3 years ago
6

Find all roots: x^3-7x^2-12x = 0

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

The roots are  0, 3 and 4.

Step-by-step explanation:

x^3-7x^2-12x = 0   Take out x:

x(x^2 - 7x - 12) = 0  Factor the expression in the brackets:

x(x - 3)(x - 4) = 0

x = 0 or x - 3 = 0 or x - 4 = 0, so

The roots are  0, 3 and 4.

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Answer:

Total number of tablets needs to discharge = 240 tables

Step-by-step explanation:

Given:

Number of days tablet need = 30 days

Number of times per days need = 4 times

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Total number of tablets needs to discharge = ?

Computation:

⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time

⇒ Total number of tablets needs to discharge = 30 × 4 × 2

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Step-by-step explanation:

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7 0
3 years ago
Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅,{∅}} c) {∅} ∈ {∅} d) {∅} ∈ {{∅}} e) {∅} ⊂ {∅,{∅}} f )
Pavel [41]

Answer:

a) ∅ ∈ {∅} TRUE

b) ∅ ∈ {∅,{∅}}  TRUE

c) {∅} ∈ {∅}  FALSE

d) {∅} ∈ {{∅}} TRUE

e) {∅} ⊂ {∅,{∅}} TRUE

f ) {{∅}} ⊂ {∅,{∅}} TRUE

g) {{∅}} ⊂ {{∅},{∅}}FALSE

Step-by-step explanation:

To assess whether these statements are true or false, first observe the symbol:

"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"

On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.

So:

c) is false because "{∅}" is not included in the set

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3 years ago
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