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Tresset [83]
3 years ago
12

How to evaluate a piecewise function ?

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

So it's going to be 3 times 2 minus 8 3 times 2 is 6 6 minus 8 is negative 2 and that's the answer.

Step-by-step explanation:

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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

(c) Verify AU(BUC)=(AUB)U(AUC)​

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
Tom is a cashier at HEB, he makes $13.25 per hour. If he works 22 hours this week what will be his gross income?
mamaluj [8]

Answer:

  $291.50

Step-by-step explanation:

For 22 hours, he earns 22 times his hourly pay.

  22×$13.25 = $291.50

6 0
3 years ago
Write the explicit<br> rule for the nth term.<br> Then find a71.<br> {O, -8, -16, -24 ...}
yulyashka [42]

Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

a_{1} = 0, a_{n} = a_{n-1} -8

the 71 term is

a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560

3 0
3 years ago
Number 9 please. I need help
Sloan [31]

(1/12)X = 6800

6800/ (1/12) = X

X = 81600 (hours)

6800 (6.8 * 10^3) divided by 1/12 (12^-1) equals 81600. It will take 81600 hours for the pool to completely empty at a rate of 0.833333333 or 12^-1 gallons per second.

8 0
3 years ago
Can someone help me find my error
AfilCa [17]

Answer:

try dividing 102 by 4 then after that make the length a lil bit bigger than the width but make sure it still equals 102

Step-by-step explanation:

mark me brainleist and ill give solution

6 0
3 years ago
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