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2 years ago

Explain why 2n+1 must be an odd number

1 answer:

4 0

If is an integer (a whole number), then the expression represents an even number, because even numbers are the multiples of 2. The expressions 2 n − 1 and 2 n + 1 can represent odd numbers, as an odd number is one less, or one more than an even number.

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Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

Romashka [77]

Answer:

(3,7) (7,3) (−1,14) (0,1) (12,25)

(5,11) (0,12) (1,8) (12,0) (−1,−1)

Step-by-step explanation:

We have the following function:

$y = 2x+1$ .

We are going to check if each ordered pair is a solution.

(3,7)

If when $x = 3, y = 7$ , it is a solution.

$y = 2x + 1 = 2(3) + 1 = 7$

This ordered pair is a solution.

(7,3)

If when $x = 7, y = 3$ , it is a solution.

$y = 2x + 1 = 2(7) + 1 = 15$

This ordered pair is not a solution.

(-1,14)

If when $x = -1, y = 14$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is not a solution.

(0,1)

If when $x = 0, y = 1$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is a solution.

(12,25)

If when $x = 12, y = 25$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is a solution.

(5,11)

If when $x = 5, y = 11$ , it is a solution.

$y = 2x + 1 = 2(5) + 1 = 11$

This ordered pair is a solution.

(0,12)

If when $x = 0, y = 12$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is not a solution.

(1,8)

If when $x = 1, y = 8$ , it is a solution.

$y = 2x + 1 = 2(1) + 1 = 3$

This ordered pair is not a solution.

(12,0)

If when $x = 12, y = 0$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is not a solution.

(-1,-1)

If when $x = -1, y = -1$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is a solution.

3 0

2 years ago

In the following expression, n is a rational number: Which expression below is equivalent to this expression?

gogolik [260]

Answer:

none of them

Step-by-step explanation:

7 0

7 months ago

Which set of angles are alternate interior angles

sweet-ann [11.9K]

Answer:

2&7

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Question 2(Multiple Choice Worth 5 points)

Nimfa-mama [501]

Mine is protected view but it could be considered reading view although it might be editing view depending

8 0

2 years ago

Read 2 more answers

The MTC Theater holds 250 people, and last night's performance sold out! Children's tickets were $2.50 per ticket, while adults

olasank [31]

60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,

a + c = 250

a = 250 - c

4a + 2.5c = 910

Substitute a value

4(250 - c) + 2.5c = 910

1000 - 4c + 2.5c = 910

1000 - 1.5c = 910

-1. 5c = -90

1.5c = 90

c = 90/1.5

c = 60

a + c = 250

a + 60 = 250

a = 190

60 children tickets and 190 adult tickets were sold.

6 0

2 years ago