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Fed [463]
3 years ago
15

Hey, here are all the problems. Im not sure how to do this and my teacher isnt giving me much time. Help would be apricated

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer : (9x + 5) - (-8x - 11) is 17x + 16

explanation: 1st, distribute 2nd, eliminate redundant parentheses 3rd, add the numbers 4th, combine like terms.

(-5x - 7) + (-2x + 6) is -7x - 1

explanation : just do the same as every other one

(-x - 9) - (5x +4) is -6x - 13

explanation : 1st, distribute 2nd, eliminate redundant parentheses 3rd, subtract the numbers 4th, combine like terms.

(3x - 4) - (x -7) is 2x + 3

explanation : 1st, distribute 2nd, eliminate redundant parentheses 3rd, add the numbers 4th, combine like terms.

(7x + 4) - (5x + 5) is 2x - 1

explanation : 1st, distribute 2nd, eliminate redundant parentheses 3rd, subtract the numbers 4th, combine like terms.

(2x - 3) + (7x + 11) is 9x + 8

explanation : 1st, eliminate redundant parentheses 2nd, add the numbers 3rd, combine like terms.

(-4x - 5) + 2(3x - 4) is 2x - 13

explanation : 1st, distribute 2nd, eliminate redundant parentheses 3rd, subtract the numbers 4th, combine like terms.

2(6x - 7) - (2x + 3) is 10x - 17

explanation : 1st, distribute 2nd, distribute again 3rd, subtract the numbers 4th, combine like terms.

(5x + 4) - (5x + 12) is -8

explanation: 1st, distribute 2nd, eliminate redundant parentheses 3rd, subtract the numbers 4th, combine like terms.

ALSO REMEMBER YOU ARE SIMPLYFYING

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Answer:

We conclude that:

\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}

Hence, option B is correct.

Step-by-step explanation:

Given the expression

\sqrt[3]{200k^{15}}

Apply radical rule:

\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

so the expression becomes

\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}

first solving

\sqrt[3]{k^{15}}

Apply radical rule: \sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

\sqrt[3]{k^{15}}=k^{\frac{15}{3}}=k^5

then solving

\sqrt[3]{200}

prime factorization:  200:  2³ · 5²

=\sqrt[3]{2^3\cdot \:5^2}

Apply radical rule:

\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

=\sqrt[3]{2^3}\sqrt[3]{5^2}

Apply radical rule:  

\sqrt[n]{a^n}=a,\:\quad \:a\ge 0

so

=2\sqrt[3]{5^2}

Thus, the main expression becomes

\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}

              =2k^5\sqrt[3]{25}

Therefore, we conclude that:

\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}

Hence, option B is correct.

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Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

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Given two distinct elements a and b say;

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