Answer:
15
Step-by-step explanation:
4+3.85x=61.75
3.85x=57.75
x=15
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Composite is a number that is NOT prime. So we want to find an odd perfect square that IS prime to be a counterexample.
√36 = Not odd
√49 = 7 Factors only 1 * 7 so it is prime
√81 = 9 Factors 1, 3, 9 composite
√225 = 15 Factors 1,3, 5,9,15, 25, 45, 75, 225 composite
Counterexample for 2∧n - 1 Is prime
2^6 - 1 = 64 - 1 = 63 NOT PRIME Factors are: 1, 3, 7, 9,21, 63
2^5 - 1 = 32 - 1 = 31 Prime
2^3 - 1 = 8 - 1 = 7 Prime
2^2 - 1 = 4 - 1 = 3 Prime
<span>1) Expression given: 20a+15ab+24b
</span>
2) Greates common factor GFC:
i) Coefficients:
20 = 2² × 5 × 1
15 = 3 × 5 × 1
24 = 2³ × 8 × 1
GCF = common numbers raised to the lower power = 1.
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ii) Letters:
a
ab
b
Since, none letter is in the three terms, then there is not common letter as GFC.
iii) Conclusion the GCF is 1.
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3) Let's see every option of the list:
</span><span>
</span><span>
</span><span>i) The factors common to 20a and 15ab are 1, 5, a, and b.
</span>
FALSE: becasue b is not in 20a.
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ii) The factors common to 20a and 15ab are 1, 5, and a.
</span>
TRUE: 1, 5, and a are in contained in both terms.
<span /><span /><span>
</span><span>iii) The factors common to 15ab and 24b are 1, 3, a, and b.
</span>
FALSE: a is not in 24b
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iv) The factors common to 15ab and 24b are 1, 3, and b.
</span>
TRUE: 1, 3, and b are contained in both terms.
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v) The factors common to 20a and 24b are 1, 2, 4, a, and b.
</span>
FALSE: a is not in 24b and b is not in 20a.
<span /><span /><span>
</span><span>vi) The factors common to 20a and 24b are 1, 2, and 4.
</span>
TRUE: 1, 2, and 4 are contained in both terms.
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vii) The GCF of the expression is ab.
</span>
FALSE: as seen above ab is not a common factor.
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viii) The GCF of the expression is 1
</span>
TRUE: it was proved above.
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Answer:
I cant see the picture
Step-by-step explanation:
