A candle is 7 in. tall after burning for 1 h. The same candle is in. tall after burning for 4 h. How tall will the candle be aft
1 answer:
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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>
<u>Given</u>:
The given expression is
We need to multiply the terms.
<u>Multiplication of the terms:</u>
Before multiplying the terms, first we shall find the factors of the quadratic equations.
Thus, we have;
Factor out the common terms, we get;
Let us cancel the common terms from the above expression.
Thus, we have;
Simplifying, the term, we get;
Now, we shall multiply the terms.
Hence, multiplying the terms, we get;
Thus, the multiplied value of the given expression is