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]
Answer:
x = 13
39° and 51°
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
This is a right angle triangle, so one side has a size of 90 degrees.
3x + 4x - 1 + 90 = 180
7x + 89 = 180
7x = 91
x = 91/7
x = 13
Put x as 13 to work out the size of the angles.
3(13) = 39
4(13) - 1
52 - 1 = 51
The cost of one drink is $2.50 and cost of one popcorn is $3.75
<u><em>Explanation</em></u>
Suppose, the cost of one drink is 
dollar and cost of one popcorn is 
dollar.
Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75
So, the system of equations will be......
Multiplying equation (1) by -3 , we will get.....
Now, adding equation (2) and equation (3) , we will get ............
Plugging this 
into equation (1) ......
So, the cost of one drink is $2.50 and cost of one popcorn is $3.75
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
In the question, we are looking at the absolute value function which says that:
Based on this, we have that:
Answer:
The answer to 3/4x-1/6 is -0.126
