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Slav-nsk [51]
3 years ago
9

All seasons plumbing has two service trucks that frequently need repair. if the probability the first truck is available is .74,

the probability the second truck is available is .57, and the probability that both trucks are available is .46:
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0
Availability of first truck probability P (1) = 0.74 
Availability of second truck probability P (2) = 0.57 
Availability of both truck probability P (1 and 2) = 0.46 
So the probability of at least one available P (1 or 2) = P (1) + P (2) - P (1 and 2) = 0.74 + 0.57 - 0.46 = 0.85 
Now the probability of at neither available = 1 - P (1 or 2) = 1 – 0.85 = 0.15
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What is the inverse of f(x)=(-2x+2)/(x+7)?
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By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

x \to y

f(x) \to x

x = \frac{-2\cdot y + 2}{y+7}

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

g(x) = \frac{- 7\cdot x + 2}{x + 2}

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

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