3 years ago

A student concluded that has infinitely many solutions. Which statement BEST describes the student’s conclusion?

Mathematics

1 answer:

Nastasia [14]3 years ago

5 0

What's the equation?

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Expressed as a product of its prime factors in index form, a number N is

Elena-2011 [213]

ANSWER

$5N^2=3^{2} \times 5^{5} \times x^{6}$

EXPLANATION

$N=3\times5^2 \times x^3$ .

$5N^2=5(3\times5^2 \times x^3)^2$

Recall this property of exponents;

$(a^m)^2=a^{m} \times a^m$

So our product becomes;

$5N^2=5(3\times5^2 \times x^3) \times (3\times5^2 \times x^3)$

$5N^2=5\times 3\times 3 \times 5^2 \times 5^2 \times x^3 \times x^3$

$5N^2=3\times 3\times 5 \times 5^2 \times 5^2 \times x^3 \times x^3$

Recall this law of exponents:

$a^m \times a^n =a ^{m+n}$

$5N^2=3^{1+1} \times 5^{1+2+2} \times x^{3+3}$

$5N^2=3^{2} \times 5^{5} \times x^{6}$

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