Also these 2 :) determining the vertex and shifts/translations
1 answer:
Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units
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Answer:
The value
The answer is No
Step-by-step explanation:
From the question we are told that
The probability a person is a jogger is
The probability that a person is female given that she jogs is
Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as
=>
=>
Given that the probability is equal to 0.05 then it is not unusual