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elixir [45]
3 years ago
5

What is the inverse of the function g(x)=-2/3x-5

Mathematics
2 answers:
professor190 [17]3 years ago
6 0

Answer:

f^-^1(x) = -\frac{3}{2}x  - \frac{15}{2}

Step-by-step explanation:

<u>Step 1:  Set x to y and y to x</u>

<u />y = -2/3x - 5

x = -2/3y - 5

<u>Step 2:  Solve for y</u>

<u />x + 5 = -2/3y - 5 + 5

x + 5 = -2/3y

-3/2(x + 5) = -2/3y * -3/2

-3/2x - 15/2 = y

<u>Step 3:  Make new equation</u>

<u />f^-^1(x) = -\frac{3}{2}x  - \frac{15}{2}

Answer:  f^-^1(x) = -\frac{3}{2}x  - \frac{15}{2}

Margaret [11]3 years ago
5 0

Answer:

-3/2x -15/2

Step-by-step explanation:

g(x)=-2/3x-5

y = -2/3x -5

Exchange x and y

x = -2/3y -5

Solve for y

Add 5 to each side

x+5 = -2/3y-5+5

x+5 = -2/3y

Multiply each side by -3/2

-3/2(x+5) =-3/2*-2/3y

-3/2x -15/2 =y

The inverse is -3/2x -15/2

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Shkiper50 [21]
Here are two ways of doing it.

************************************************************

1) The current price is 100% of the price. The price went down by 6%, so since 100% - 6% = 94%, the new price is 94% of the original price.

94% * 175 = 0.94 * 175 = 164.50

The new price is 164.50

*******************************************************

2) The discount is 6% of 175, so first, we find the discount.

6% of 175 = 0.06 * 175 = 10.5

Now we subtract the amount of the discount from the original price.

175 - 10.50 = 164.50

The new price is 164.50

**********************************************************

As you can see, both methods give you the same answer, 164.50
6 0
3 years ago
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If ƒ
SSSSS [86.1K]
(B)
if <em>f</em>(a) = K, then that means <em>f </em>sends (a) to (K). 
the inverse function, <em>f</em>-1, goes back where you started, so <em>f</em>-1 <em />sends (K) to (a). 
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8 0
3 years ago
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Which fraction is in simplest form?<br><br> ​2-10​<br><br> ​5-12​<br><br> ​3-6​<br><br> ​4-8
IgorLugansk [536]

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

8 0
3 years ago
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A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool
statuscvo [17]

Answer:

\dfrac{1}{8}\ gallons

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = \frac{3}4 gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = V

V + V + V + V + V + V = \dfrac{3}{4}\ gallons

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8 0
3 years ago
Sierra says that she can simplify the side of the inequality shown by combining the terms within the parentheses but that she​ c
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Answer:

Yes, Sierra is correct

Step-by-step explanation:

Given

4(y + 7) > -3 (4 + 5)

Required

Is she correct

The right parenthesis has 4 + 5.

This can be simplified as: 4 + 5 = 9

So, we have:

4(y + 7) > -3 (4 + 5)

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The left parenthesis has y + 7.

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<em>Hence, Sierra is correct.</em>

8 0
3 years ago
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