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Ahat [919]
2 years ago
14

Represent the arithmetic series using the recursive formula 94, 87, 80, 73,

Mathematics
1 answer:
Rama09 [41]2 years ago
5 0

Answer:

a_1 = 94 \\ a_n = a_ {n - 1}  - 7

Step-by-step explanation:

The given arithmetic sequence is 94, 87, 80, 73,...

The first term is

a_1=94

The common difference is

d = 87 - 94

d =  - 7

The recursive formula is given by:

a_n = a_ {n - 1} + d

We substitute the common difference to obtain:

a_n = a_ {n - 1}  - 7

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Answer:

$0.75 per bowl

Step-by-step explanation:

120/3 = 40 = bowls of soup per container

Each container cost $30

30/40 = $0.75 so the cost per bowl is 75 cents

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3 years ago
There are 3,525 freshmen at a university. All freshman must attend one orientation session, and there are 15 different sessions
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Answer:the answer is b

Step-by-step explanation:

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3 years ago
Which power has a value of 1?
kogti [31]
X^0=1
5^0=1

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answer is 1^4 and 5^0
4 0
2 years ago
The relation R is shown below as a list of ordered
Dmitrij [34]

Answer:

(1, 4) and (1,3), because they have the same x-value

Step-by-step explanation:

For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.

In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.

Therefore, the relation is not a function anymore if both ordered pairs are included.

<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>

7 0
2 years ago
On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
Valentin [98]

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

8 0
2 years ago
Read 2 more answers
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