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Vikentia [17]
3 years ago
12

The graph of y=1/x is shown below. Draw the graph of its inverse.

Mathematics
2 answers:
NeTakaya3 years ago
5 0

Answer:

The graph of the inverse of function would be same.

Step-by-step explanation:

We have been given graph of function y=\frac{1}{x}. We are asked to graph the inverse of our given function.

To find the inverse of a function, we will interchange the x and y variables and solve for y.

Upon interchanging variables, we will get:

x=\frac{1}{y}

Upon multiplying both sides of our equation by y, we will get:

x*y=\frac{1}{y}*y

x*y=1

Now, we will divide both sides of our equation by x as:

\frac{x*y}{x}=\frac{1}{x}

y=\frac{1}{x}

Since the inverse of our given function is same as function y=\frac{1}{x}, therefore, the graph of the inverse of function would be same.

lord [1]3 years ago
4 0
Y=1/x  solve for x

x=1/y  now reverse lables...

y=1/x  

Yes that is the same equation you started with.  What that means is the the inverse function in this case produces the same exact graph :)
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gizmo_the_mogwai [7]
A cube has equal edges, so 2*2*2 or 2^3 (2 cubed) v=8^3
4 0
3 years ago
1. What is the value of the y variable in the solution to the following system of equations?
ollegr [7]

Part 1)

we have

3x-6y=3 ------> equation A

7x-5y=-11 ------> equation B

Multiply by -7 the equation A

-7(3x-6y)=-7*3

-21x+42y=-21 ------> equation C

Multiply by 3 the equation B

3*(7x-5y)=-11*3

21x-15y=-33 -------> equation D

Adds equation C and equation D

-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2

therefore

<u>the answer Part 1) is the option A </u>

y=-2

Part 2)

we have

3x+y=6

y=-3x+6 ------> equation A

6x+2y=8

Simplify Divide by 2 both sides

3x+y=4

y=-3x+4 ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

4x+2y=6 ------> equation A

x-y=3

y=x-3  ------> equation B

substitute equation B in equation A

4x+2[x-3]=6

6x-6=6

6x=12

x=2

therefore

<u>the answer part 3) is the option D</u>

x=2

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

x+y=1,120

x=1,120-y -------> equation A

3x-2y=1,300 ------> equation B

substitute equation A in equation B

3[1,120-y]-2y=1,300

3,360-5y=1,300

5y=3,360-1,300

5y=2,060

y=412

therefore

<u>the answer part 4) is  the option D</u>

y=412

8 0
3 years ago
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If you hike 1/2 mile every 1/5 hour how far do you hike in two hours?
Anarel [89]

Answer:

5 miles

Step-by-step explanation:

0.5 x 10

= 5

4 0
3 years ago
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Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it ta
DaniilM [7]

Answer:

2½ h  

Step-by-step explanation:

Assume the graph is like the one below.

The graph shows how Erin's distance varies with time.

To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.

From there, draw a horizontal line until it hits the graph.

Then drop a vertical line to the horizontal axis.

It hits half-way between 2 and 3.

It takes Erin 2½ h to run 25 mi.

7 0
3 years ago
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0.75h + 3 = 12 <br> What's the answer?
kykrilka [37]

Answer:

h = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

0.75h + 3 = 12

<u>Step 2: Solve for </u><em><u>h</u></em>

  1. Subtract 3 on both sides:                    0.75h = 9
  2. Divide 0.75 on both sides:                  h = 12

<u>Step 3: Check</u>

<em>Plug in h into the original equation to verify it's a solution.</em>

  1. Substitute in <em>h</em>:                    0.75(12) + 3 = 12
  2. Multiply:                               9 + 3 = 12
  3. Add:                                     12 = 12

Here we see that 12 does indeed equal 12.

∴ h = 12 is a solution of the equation.

5 0
3 years ago
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