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2 years ago

Y=4x+1 complete the table

Mathematics

1 answer:

Tom [10]2 years ago

3 0

Please refer to the attached image for the answer

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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

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

2 years ago

What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2

NeX [460]

Well take the bottom and in this case its 18 and 30 so 18 x 30 = 540 then you do the two 15's times 30 and thats 450 times the 2 is 900 so 540+900+216 = so thats 1656 m 2 :)))))))))))

6 0

2 years ago

Read 2 more answers

Zina [86]

Answer:

on edge

Step-by-step explanation:

The tree increased in height each month until the time period between month 9 and month 11

5 0

2 years ago

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hin

zaharov [31]

Answer:

3200 meters

Step-by-step explanation:

because it is

4 0

1 year ago

Which of the following equations have infinitely many solutions? Choose all answers that apply: Choose all answers that apply: (

TiliK225 [7]

Answer:

All options are correct.

Step-by-step explanation:

In option (A), the given equation is

$x-37=x-37$

Add 37 on both sides.

$x-37+37=x-37+37$

$x=x$

Subtract x from both sides.

$x-x=x-x$

$0=0$

LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.

Similarly.

In option (B), the given equation is

$73x-37=73x-37$

$73x=73x$

$0=0$

LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.

In option (C), the given equation is

$37x-37=37x-37$

$37x=37x$

$0=0$

LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.

In option (D), the given equation is

$74x-37=74x-37$

$74x=74x$

$0=0$

LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.

Therefore, all options are correct.

5 0

2 years ago

Read 2 more answers