Answer: 0
<u>Step-by-step explanation:</u>
g(x) = x² + 6x ; x ≥ -3
To find the inverse, swap the x's and y's and solve for "y":
x = y² + 6y
x + 9 = y² + 6y + 9 <em>add 9 to both sides to create a perfect square</em>
x + 9 = (y + 3)²
= y + 3 <em>take square root of both sides</em>
= y ; y ≥ -3
g⁻¹(0) = 
= 
= -3 ± 3
= -3 + 3 , -3 - 3
= 0 , -6
since the restriction is: y ≥ -3, then -6 is not valid
You would write the expression as nP +nL=cost because it’s the number of plagues that he buys plus the number of loaches that he buys
For each question, there is a 1/2 chance at getting the question correct by guessing.
Let's take a scenario to better understand.
Suppose the true-false paper has 5 questions. For a perfect score by guessing, you'd need to get all 5 correct (ie (1/2)⁵)
The reason why you multiply is because you need each 1/2 simultaneously for a perfect score, which is an important concept when doing binomial probability later on.
Thus, let's use this knowledge to answer the question.
We need the minimum amount of questions such that the probability is less than 1/10.
We can write an inequality for this:

Now, we need to log both sides to find n.

n > 3.3219...
n ≈ 4
Thus, 4 questions is the minimum number of questions needed.
So the answer would be16*4=64