Answer:
it is 27 as you multiply .30 times 90
Y = -3x + 4
In y = mx + b form, the y intercept will be in the b position.
y = mx + b
y = -3x + 4......so ur y intercept is 4.....or (0,4)
just so u know....in y = mx + b form, the slope will be in the m position....so ur slope would be -3
Answer:
f⁻¹(x) = 2x - 8
f⁻¹(4) = 2 × 4 - 8
f⁻¹(4) = 0
Step-by-step explanation:
![f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%204%5C%5Cx%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20f%5E%7B-1%7D%28x%29%20%2B%204%5C%5Cx%20-%204%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20f%5E%7B-1%7D%28x%29%5C%5C2x%20-%208%20%3D%20f%5E%7B-1%7D%28x%29%5C%5Cf%5E%7B-1%7D%28x%29%20%3D%202x%20-%208)
Let's test it
![f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28f%28x%29%29%20%3D%202%28f%28x%29%29%20-%208%5C%5Cf%5E%7B-1%7D%28f%28x%29%29%20%3D%202%28%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%204%29%20-%208%5C%5Cf%5E%7B-1%7D%28f%28x%29%29%20%3D%20%5Cfrac%7B2%7D%7B2%7Dx%20%2B%208%20-%208%5C%5Cf%5E%7B-1%7D%28f%28x%29%29%20%3D%20x)
So we do indeed have the inverse function, so using that we can plug in the values requested:
f⁻¹(x) = 2x - 8
f⁻¹(4) = 2 × 4 - 8
f⁻¹(4) = 0
Answer:
14
Step-by-step explanation:
Answer:
P(O|R)
Step-by-step explanation:
The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).
The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.
In the question,
Event R = Person lives in the city of Raleigh
Event O = Person is over 50 years old
The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).
Hence, this statement can be given in conditional probability notation as
P(O|R)