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Bogdan [553]
3 years ago
10

Use symmetry to graph the inverse of the function.

Mathematics
1 answer:
Olin [163]3 years ago
5 0
<h2>Answer:</h2>

a. is the correct option

<h2>Step-by-step explanation:</h2>

The graph of a function f and its inverse function f^{-1} are related to each other. The relationship between these two graphs can be explained by taking a point (a,b) that is on the graph of f, then point (b,a) must lie on the graph f^{-1} and vice versa meaning that the graph of f^{-1} is a reflection of f in the line y=x. The only graph that meet this requirement is the option a. For instance, the point (0,5) is on the graph of f while the point (5,0) is on the graph of f^{-1} as indicated below.

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If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and
kirza4 [7]

Answer:

4 inches

Step-by-step explanation:

the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4

5 0
2 years ago
Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


3 0
3 years ago
Read 2 more answers
To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours
8090 [49]

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour    x=hours  y=total cost  

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

6 0
3 years ago
Which is the graph of the equation y-1=2/3(x-3)? <br> PLEASE ANSWER ASAP
alexgriva [62]

Answer:

Graph #1

Step-by-step explanation:

Compare your

y - 1 = (2/3)(x - 3) to

y - k = m(x - h).  We see that k = 1 and h = 3.

Thus, (1, 3) is a point on the graph.  This matches Graph #1.  

Note: Graph #1 and Graph #3 appear to be the same.  Why?

8 0
3 years ago
Read 2 more answers
In a NiCd battery, a fully charged cell is composed of Nickelic Hydroxide. Nickel is an element that has multiple oxidation stat
Westkost [7]

Answer:

P(cell has at least one of the positive nickel-charged options) = 0.83.

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85.

Step-by-step explanation:

It is given that the Nickel Charge Proportions found  in the battery are:

0 ==> 0.17

.

+2 ==> 0.35

.

+3 ==> 0.33

.

+4 ==> 0.15.

The numbers associated to the charge are actually the probabilities of the charges because nickel is an element that has multiple oxidation states that is usually found in the above mentioned states.

a) P(cell has at least one of the positive nickel-charged options) = P(a cell has +2 nickel-charged options) + P(a cell has +3 nickel-charged options) + P(a cell has +4 nickel-charged options) = 0.35 + 0.33 + 0.15 = 0.83.

Or:

P(a cell has at least one of the positive nickel-charged options) = 1 - P(a cell has 0 nickel-charged options) = 1 - 0.17 = 0.83.

b) P(a cell is not composed of a positive nickel charge greater than +3) = 1 - P(a cell is composed of a positive nickel charge greater than +3)

= 1 -  P(a cell has +4 nickel-charged options)  '.' because +4 is only positive nickel charge greater than +3      

= 1 - 0.15

=  0.85

To summarize:

P(cell has at least one of the positive nickel-charged options) = 0.83!!!

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85!!!

8 0
3 years ago
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