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Georgia [21]
3 years ago
15

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d  so for our sequence we have:

49th term =  -6.5  + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5   (answer).

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
-BARSIC- [3]
Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
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3 years ago
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Rom4ik [11]
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Graph the equation by plotting three points. if all three correct, the line will appear. -y=x+0?
kicyunya [14]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>(-1, 1) (-2, 2) (-3, 3)</em>

▹ Step-by-Step Explanation

You can use a graphing calculator to find the points. Attached is an image.

Hope this helps!

- CloutAnswers ❁

!

━━━━━━━☆☆━━━━━━━

6 0
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Solve for x.<br> 75°<br> 11x-2
DaniilM [7]

Answer:

x=7

Step-by-step explanation:

6 0
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