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diamong [38]
3 years ago
5

Decide whether the relation is a function: {(-3, 7), (1, -8), (6, -6), (7-8), (12, 2)}

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

It is a function

Step-by-step explanation:

A function is of the form:

\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right]            \left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]

Where each of the x values must be distinct.

The x values are referred to as domain while the y values are called range.

Having said that, the given data can be represented as follows:

\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right] ----------- \left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]

<em>From the representation above, none of the x values are repeated.</em>

<em>Hence, it is a function</em>

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stich3 [128]

Answer:

Step-by-step explanation:

8 0
3 years ago
Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)
Murrr4er [49]

\sqrt{x - 5} + 7 = 11

(\sqrt{x-5}) ^{2} = (4)^{2}

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16     or     x - 5 = -16

<u>   +5</u>   <u>+5   </u>           <u>   +5 </u>    <u>+5  </u>

    x = 21       or        x = -11

Answer: x = {21, -11}

5 0
3 years ago
determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.17, 14, 11, 8,
MArishka [77]

The common difference of the sequence is -3 and the fifth term is 5

<h3>How to determine the common difference?</h3>

The sequence is given as:

17, 14, 11, 8....

The common difference is

d = T2 - T1

So, we have

d = 14 - 17

Evaluate

d = -3

Hence, the common difference of the sequence is -3

<h3>How to determine the fifth term?</h3>

The fifth term is calculated as:

T5 = a + 4d

Where

a = T1 = 17

d = -3

So, we have:

T5 = 17 - 4 * 3

Evaluate

T5 = 5

Hence, the fifth term is 5

<h3>How to determine the nth term?</h3>

The nth term is calculated as:

Tn = a + (n - 1)d

Hence, the nth term is Tn = a + (n - 1)d

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

6 0
2 years ago
in a coin jar, there are 45 nickles. the number of pennies and nickles together equal the number of dimes. there are 2 quarters
fredd [130]

Answer:

45 nickels

30 quarters

60 dimes

15 pennies

Step-by-step explanation:

Quarters:

45÷3=15

15×2=30

Dimes:

30×2=60

Pennies:

60-45=15

HOPE THIS HELPS!!!!!:)

3 0
3 years ago
Pls help I will do anything
chubhunter [2.5K]

Answer:

32

Step-by-step explanation:

because 1 quart equals 4 cups so 8x4=32

5 0
3 years ago
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