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Setler [38]
3 years ago
5

What is the domain of the letter g?

Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

B

Step-by-step explanation:

recall that any radical expression \sqrt{A} has real solutions only if A is not negative. (otherwise you will have imaginary solutions)

hence in this case we have

\sqrt{8x},

for real solutions, 8x must be ≥ 0,

since 8 is a positive number, x must be ≥ 0 (answer)

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What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

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324 divides by 2,

648=2 \cdot 2 \cdot 162

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648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

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27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

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Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

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