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Mathematics

1 answer:

Tanya [424]2 years ago

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If f is a one-to-one continuous function defined on an interval, then its inverse f−1 is also one-to-one and continuous.

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P is inversely proportional to Q.

Volgvan

$If\ P\ is\ inversely\ proportional\ to\ Q\ then:\\\\P\times Q=constans\\\\P=100;\ Q=32\\\\100\times32=3200\\\\P=2Q\\\\therefore\\\\P\times Q=2Q\times Q=2Q^2\\\\2Q^2=3200\ \ \ \ |divide\ both\ sides\ by\ 2\\Q^2=1600\ \ \ \ \ |sqare\ rot\ both\ sides\\Q=\sqrt{1600}\\\boxed{Q=40}$

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3 years ago

Interpret (1,15)<br><br> interpret (4,60)

statuscvo [17]

Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).

<h3>What are coordinates?</h3>

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

For interpreting we have to find the relation between (1,15) and (4,60)

We have, (1,15)

For x- coordinate 1, y- coordinate will be 15

Now,

let us take x- coordinate=2 then y- coordinate =30

again, if x-coordinate = 3 then y-coordinate = 45

lastly, if the x-coordinate =4 then y-coordinate = 60

That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.

Learn more about coordinates here:

brainly.com/question/23450276

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