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Sonbull [250]
3 years ago
8

A binary operation is defined on the set of real numbers ℝ by

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

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6 0
3 years ago
Read 2 more answers
11
BaLLatris [955]
<h3>Answer:</h3>

x=30

<h3>Solution:</h3>
  • First, use the distributive property:
  • 8x-3(2x-4)=3(x-6)
  • 8x-6x+12=3x-18
  • Simplify:
  • 2x+12=3x-18
  • 2x-3x=-12-18
  • -x=-30
  • x=30

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
These are questions 2-5 out of 20. are these correct!?
dusya [7]
I believe so, but It is kind of blurry for some reason on my screen but from what I can make out yes.
3 0
3 years ago
Help me pls i have been stuck on this for the past hour
Sedbober [7]

Answer:

-4, -6, -3, -5, -1. The inequality solved for n is n ≥ -6.

Step-by-step explanation:

Substitute all the values in the equation.

n/2 ≥ -3

-10/2 ≥ -3

-5 is not ≥ -3.

n/2 ≥ -3

-7/2 ≥ -3

-3.5 is not ≥ -3.

n/2 ≥ -3

-4/2 ≥ -3

-2 is ≥ -3.

n/2 ≥ -3

-9/2 ≥ -3

-4.5 is not ≥ -3.

n/2 ≥ -3

-6/2 ≥ -3

-3 is ≥ -3.

n/2 ≥ -3

-3/2 ≥ -3

-1.5 is ≥ -3.

n/2 ≥ -3

-8/2 ≥ -3

-4 is not ≥ -3.

n/2 ≥ -3

-5/2 ≥ -3

-2.5 is ≥ -3.

n/2 ≥ -3

-2/2 ≥ -3

-1 is ≥ -3.

To solve the inequality n/2 ≥ -3 for n, do these steps.

n/2 ≥ -3

Multiply by 2.

n ≥ -6.

3 0
3 years ago
Over the last 24 months, Wendy has deposited the same amount of money in her bank account each month. If she deposited a total o
zysi [14]

Answer:

55

Step-by-step explanation:

Assuming she deposited the same amount each month.

Total ÷ Months = Amount Deposited Each Month

1,320 ÷ 24 = 55

6 0
3 years ago
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