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Bess [88]
3 years ago
15

Write g(x) so that it is the inverse of the given function f(x). f(x) = 1/3x - 5/3 g(x) =

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

9514 1404 393

Answer:

  g(x) = 3x +5

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = 1/3y -5/3 . . . . . use the definition of f(x)

  3x = y -5 . . . . . . . . multiply by 3

  3x +5 = y . . . . . . . .add 5

Then the inverse function is ...

  g(x) = 3x +5

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vesna_86 [32]

Let U={a,b,c,d,e,f,g,h}

A={a,c,d}

B={b,c,d}

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6 0
3 years ago
Akio found 18 cents in his pocket. He found 6 more coins in his pocket. Altogether he has 73 cents. What were the 6 coins he fou
Dafna1 [17]

Answer:

1 quarter, 1 dime, and 4 nickels

Step-by-step explanation:

First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:

73-18=55.

So the total amount of the 6 coins equals 55 cents.

The quarter = 25 cents

The dime = 10 cents

The 4 nickels =  5 + 5 + 5 + 5 = 20

1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.

So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.

8 0
3 years ago
Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur
son4ous [18]

Answer:

the g's contributing term for the overall uncertainty of P is  dP_g =  [\frac{dg}{g}]

Step-by-step explanation:

From the question we are told that

   The pressure is   P  = P_o + \rho gh

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

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=>   ln P  = lnP_o + ln \rho + ln g  + ln h

Then the next step is to differentiate both sides of the equation

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=>    \frac{dP}{P}  =  \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

     dP_g =  [\frac{dg}{g}] P

8 0
3 years ago
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Step-by-step explanation:

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