Express each answer in simplified radical form √24+4√54=?
1 answer:
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Answer: C
<u>Step-by-step explanation:</u>
∑ 8()⁽ⁿ⁻¹⁾ from n = 1 to n = 5
n = 1 → 8()⁽¹⁻¹⁾
= 8 =
n = 2 → 8()⁽²⁻¹⁾
= =
n = 3 → 8()⁽³⁻¹⁾
= =
n = 4 → 8()⁽⁴⁻¹⁾
= =
n = 5 → 8()⁽⁵⁻¹⁾
= =
Sum =
= 408.99
Answer:
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>