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>
Answer:
The last choice is the correct one
Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)
For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)
Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)
Hope this helps :)
Answer:
35
Step-by-step explanation:27-21=35
Answer:
25.5 cm²
Step-by-step explanation:
5.5 cm × 20 cm = 25.5 cm²