Answer:
j
Step-by-step explanation:
Substitute the given values into x² + x + 1 and check if result is prime
x = - 4
(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime
(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime
(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime
4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime
x = 4 serves as a counterexample to disprove this conclusion
Hi there!
We can use the following equation:

z = amount of standard deviations away a value is from the mean (z-score)
σ = standard deviation
x = value
μ = mean
Plug in the knowns for both and rearrange to solve for the mean:

Other given:

Set both equal to each other and solve:

Answer:
f(5) = 2
Step-by-step explanation:
it says to use the function (-x+3) for when x is bigger than 2
f(x) = (-x) + 3 replace x with 5
f(5) = (-5) + 3 and f(5) = 2
Answer:
<u>Step 1: Find the x</u>
2x + 5: Solve



3x + 15: Solve



The function has a horizontal asymptote at y = 1
<h3>How to determine the
horizontal asymptote?</h3>
The function is given as:
f(x) = -4/x + 1
Set the radicand to 0.
So, we have:
y = 0 + 1
Evaluate
y = 1
Hence, the function has a horizontal asymptote at y = 1
Read more about horizontal asymptote at:
brainly.com/question/4084552
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