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3 years ago

For which function is the ordered pair (2, 12) not a solution?

1 answer:

6 0

The x-coordinate is 2 and y-coordinate is 12.

Substitute 2 into x then check if y is equal to 12.

D is the answer since y = (2) - 10 = -8, not 12.

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1. Is the number 0.555, rational or irrational?

antoniya [11.8K]

Rational hope this helps

6 0

3 years ago

If U = {x: X € N, 1 < × < 15)

Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )

= {2,4,6,8,10,12,14} U {3,6,9,12,15}

= {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B) = ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

AU(BUC)

= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)

= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)

verifies

5 0

3 years ago

For the sequence <img src="https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%202n%2F%28n%2B1%29" id="TexFormula1" title="a_{n} = 2n/(n+1)"

Nat2105 [25]

Answer:

$a_{10}=\frac{20}{11}$

Step-by-step explanation:

The formula for nth term of a the sequence is given as $a_n=\frac{2n}{n+1}$

<u>Finding the 10th term means finding $a_{10}$ , which means to plug in 10 into n, in the nth term formula.</u>

$a_{10}=\frac{2(10)}{(10)+1}=\frac{20}{11}$

7 0

3 years ago

Read 2 more answers

Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o

topjm [15]

Answer:

Step-by-step explanation:

First we need to calculate the James monthly charges on his balance of 4289.

Using the simple interest formula;

Simple Interest = Principal * Rate * Time/100

Principal = 4289

Rate = 5%

Time = 1 month = 1/12 year

Simple interest = 4289*5*1/12*100

Simple interest = 21,445/1200

Simple interest = 17.87

<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>

The balance on his credit card one year from now = Principal - Interest

= 4289 - 214.44

= 4076.56

The balance on his credit card one year from now will be 4076.56

5 0

4 years ago

For every 6kg a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48 kg, how many milligrams of the

Inessa05 [86]

The answer will be 136mg
48/6=8
8*17=136mg

3 0

3 years ago