A legal firm offers some services "pro bono", which means that they work for clients free of charge. The legal firm accepted 2%
2 answers:
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Answer:
Both are inverse pairs
Step-by-step explanation:
Question 11
(a) Rename g(x) as y
(b) Solve for x :
(c) Multiply each side by ⅝
(d) Switch x and y
(e) Rename y as the inverse function
(f) Compare with your function
f(x) and g(x) are inverse functions.
The graphs of inverse functions are reflections of each other across the line y = x.
In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)
Question 12
h(x)= x - 2
(a) Rename h(x) as y
y = x - 2
(b) Solve for x:
x = y + 2
(c) Switch x and y
y = x + 2
(e) Rename y as the inverse function
h⁻¹(x) = x + 2
(f) Compare with your function
f(x) = x + 2
f(x) = h⁻¹(x)
h(x) and ƒ(x) are inverse functions.
The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).
Answer:
The required probability is
Step-by-step explanation:
Total number of bottles = 50
Total number of water bottles = 30
Total number of lemon flavored water bottles = 8
Total number of tea bottles = 20
Total number of lemon flavored tea bottles = 5
<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em><em> Probability of selecting a lemon bottle out of water bottles.</em>
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<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em><em> Probability of selecting a lemon bottle out of tea bottles.</em>
Formula for probability of an event E can be observed as:
Probability of selecting a water bottle:
Probability of selecting a lemon flavored bottle from water bottle:
<em>Probability of selecting a lemon flavored water bottle = P(A)</em>
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Probability of selecting a tea bottle:
Probability of selecting a lemon flavored bottle from tea bottle:
<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>
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<em>The required probability is:</em>
<em>P(A) + P(B):</em>
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