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goldfiish [28.3K]
3 years ago
10

2 kids are always lying, the other 3 are always telling the truth. Julia: " Jack is only a liar, if John is telling the truth."

Jack: "If Joey doesn’t lie, then either Julia or John do." Joey: " Jane lies, as does Julia or Jack." John: "If Jack is telling the truth, then Julia or Joey do as well." Jane: "If you round up Julia, Joey and John, you will have at least one liar." The liars are_____
Mathematics
1 answer:
Nikolay [14]3 years ago
5 0
The liars are Jack and Jane
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Find the complete factored form of the polynomial <br> 30ab^4-5a^6
anzhelika [568]

Answer:

5a(6b^{4} - a^{5})

Step-by-step explanation:

Given

30ab^{4} - 5a^{6} ← factor out 5a from each term

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5 0
2 years ago
00:00
stiks02 [169]

Answer:

i think D

Step-by-step explanation:

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2 years ago
What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
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