The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.
<h3>How to utilize properties of Algebra?</h3>
Statement 1; −3(x + 8) = −21
Reason 1; Given
Statement 2; −3(x + 8)/-3 = −21/-3
Reason 2; Division property of Equality
Statement 3; x + 8 - 8 = 7 - 8
Reason 3; Subtraction Property of Equality
Statement 4; x = -1
Reason 4; Given
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The answer is B: <span> a^12/b^6
Proof:
Simplify the following:
(a^4/b^2)^3
Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)
3×4 = 12:
a^12/(b^2)^3
Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6</span>
So, the function is obviously shifted up by 1 so it rules out A and B, and we also see that the period is 4pi rather than 2pi, and using the fact that:
Now that we know our b value, we see that the correct answer would be C.
