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nignag [31]
3 years ago
14

Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.

Mathematics
1 answer:
galben [10]3 years ago
5 0
The answer is already given in your question. The inverse of a function
f is f-1, g is g-1, h is h-1 and i is i-1.

To explain why the inverse of 
<span>f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = </span><span>f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)

Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.</span><span />
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Find the surface area. Show work.
kotegsom [21]

Step-by-step explanation:

first you'll have to cut the triangle in half to make the right angle. when u do the side is whatever the num is 132-??= thats the answer. and then add all of the area nums and then u get the num

7 0
3 years ago
Read 2 more answers
Select all the statements that are true for the following systems of equations
Aleks [24]

Answer:

A. System C simplifies to 2x - 3y = 4 and 4x - y = 54 by dividing the second equation by three (3).

B. Systems A and C have the same solutions.

C. Systems A and B have different solutions.

Step-by-step explanation:

Given the following system of equations;

<em><u>System A</u></em>

2x - 3y = 4  .....equation 1

4x - y = 18  .......equation 2

We would solve the above equations using the elimination method;

Multiplying eqn 1 by 2;

2*(2x) - 2*(3y) = 4*2

4x - 6y = 8  ...... equation 3

Subtracting eqn 2 from eqn 3;

(4x - 4x) + (-6y - (-y)) = 8 - 18

0 + (-6y + y) = -10

-5y = -10

5y = 10

y = \frac {10}{5}

y = 2

To find the value of x;

2x - 3y = 4

2x - 3(2) = 4

2x - 6 = 4

2x = 4 + 6

2x = 10

x = \frac {10}{2}

x = 5

<em><u>Solutions (x, y) = (5, 2)</u></em>

<u><em>System B</em></u>

3x - 4y = 5  ..... equation 1

y = 5x + 3  ..... equation 2

We would solve the equations using substitution method;

Substituting eqn 2 into eqn 1, we have;

3x - 4(5x + 3) = 5

3x - 20x - 12 = 5

-17x - 12 = 5

-17x = 12 + 5

-17x = 17

x = \frac {-17}{17}

x = -1

To find the value of y;

y = 5x + 3

y = 5(-1) + 3

y = -5 + 3

y = -2

<u><em>Solutions (x, y) = (-1, -2)</em></u>

<u><em>System C</em></u>

2x - 3y = 4  ..... equation 1

12x - 3y = 54  ...... equation 2

We would solve the above equations using the elimination method;

Subtracting eqn 2 from eqn 1;

(2x - 12x) + (-3y -(-3y)) = 4 - 54

-10x + (-3y + 3y) = -50

-10x + 0 = -50

-10x = -50

10x = 50

x = \frac {50}{10}

x = 5

To find the value of y;

2x - 3y = 4

2(5) - 3y = 4

10 - 3y = 4

3y = 10 - 4

3y = 6

y = \frac {6}{3}

y = 2

<u><em>Solutions (x, y) = (5, 2)</em></u>

5 0
2 years ago
A. 18 square root of 2 B.18/ square root of 3 C.18 square root of 2 / square root of 3 D. 18 times square root 3 / square root o
kirza4 [7]

Step-by-step explanation:

A. 18√2

= 25.4558441227

B. 18/√3

= 6√3

= 10.39230485

C. 18√2 /√3

= 6√6

= 14.69693846

D. 18 · √3 / √2

= 9√6

= 22.04540769

6 0
2 years ago
David has 52 cans, Sarah has 51 less than X how many does Sarah have
True [87]

Answer:

According to my very precise calculations, I've come to the conclusion that the answer is 1.

7 0
3 years ago
Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

8 0
3 years ago
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