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Svet_ta [14]
3 years ago
13

Given the arithmetic sequence an = −1 + 7(n − 1), what is the domain for n?

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0
An arithmetic sequence is that in which the consecutive terms share or have the same difference commonly referred to as the "common difference". The terms in the arithmetic sequence always starts with the term 0 or the initial value. In this item, the value of n should be greater than or equal to. Therefore the answer is the second choice. 

If we are to get the first term of the arithmetic sequence, it will become,
                     first term:
           a0 = (-1) + 7(0 - 1) = -8

Therefore, the first term is equal to -8. 
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The sum of 5 consecutive numbers is -5. What is the largest out of the numbers?
xxTIMURxx [149]
We can say that x is the largest number.

So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5

Now solve for x:

x + x + x + x + x - 1 - 2 - 3 - 4 = -5

5x - 10 = -5

5x = 5

x = 1

So the largest number is 1.

Check: 1 + 0 + -1 + -2 + -3   =   -2 + -3   =   -5 so 1 is correct.
3 0
3 years ago
Solve the slope for the table.
Nikitich [7]

Answer:

The slope is 0

Step-by-step explanation:

All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.

3 0
2 years ago
Read 2 more answers
A worker is paid $18.50 per hour for the first 40 hours of work and time and a half for any overtime exceeding 40 hours per week
Lisa [10]

Answer:

The worker's pay is $795.50.

Step-by-step explanation:

The worker gets paid $18.50 for the first 40 hours of work. The worker works 46 hours. 18.50 • 40 = 740. He worked 6 hours overtime. $18.50 ÷ 2 = $9.25. $9.25 • 6 = $55.50.

$740 + $55.50= $795.50

5 0
3 years ago
Solve the system of linear equations by substitution x=17-4y y=x-2
Zigmanuir [339]

9514 1404 393

Answer:

  (x, y) = (5, 3)

Step-by-step explanation:

We can use the second equation to substitute for y in the first.

  x = 17 -4(x -2)

  5x = 25 . . . . . . . . eliminate parentheses, add 4x

  x = 5

  y = 5 -2 = 3

The solution is (x, y) = (5, 3).

6 0
2 years ago
If an area of a rectangle with width x can be represented with the expression A(x)=x(14-x), what is the perimeter of the rectang
AlekseyPX
To solve for the perimeter first figure out the length and width from the formula of area for the rectangle
A = LxW
A = (14-X)•X
L = (14-X)
W = X
P = 2L + 2W
P = 2(14-X) + 2(X)
P = 28 - 2X + 2X
P = 28.
The perimeter of the rectangle is A. 28.
6 0
3 years ago
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