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fomenos
3 years ago
11

Write the explicit formula for the arithmetic sequence.

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

an = 9n -16

Step-by-step explanation:

First find the common difference, d

Take the second term and subtract the first

2 - (-7) = 2+7 = 9

We are adding 9 each time

Check 2+9 =11, check  11+9 = 20  check

The first term in the sequence is a1  so a1 =-7

an = a1 + d(n-1)

an = -7 + 9(n-1)

Distribute

an = -7 +9n-9

Combine like terms

an = 9n -16

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Using a protractor and a ruler, reflect points A and B across line PQ?
MA_775_DIABLO [31]

Answer:

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Step-by-step explanation:

8 0
3 years ago
The slope of a line that is parallel to each line whose equation is given
Kobotan [32]
Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
  y = -3/8(x) + 3/2, slope = -3/8

slope of a line that is parallel = -3/8

2)5x+4y = 5
  4y = -5x + 5
    y = -5/4(x) + 5/4; slope is -5/4

slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal

3)
3x+8y = 11
 8y = -3x + 11
   y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3

4)
x = -7, slope is undefined
so slope of perpendicular line is 0

5)
3x+2y = 12
2y = -3x + 12
 y = -3/2(x) + 6 ; slope = -3/2

5x - 6y = 8
6y = 4x - 8
  y = 2/3(x) - 4/3; slope is 2/3

slope is opposite and reciprocal, so the equals are perpendicular

6)
3x + y = 5
y = -3x + 5; slope = -3

6x + 2y = -15
2y = -6x - 15 
y = -3x - 7.5; slope = -3

both have slope = -3 so equations are parallel

3 0
3 years ago
Dan has 4 over 5 cup of ice cream. How many 1 over 8 -cup servings are in 4 over 5 cup of ice cream?
Alik [6]

Answer:

32/5

Step-by-step explanation:

To find this, we'll have to <em>divide</em> 4/5 <em>by</em> 1/8.

This is 4/5 / 1/8, which is 4/5 * 8.

That equals 32/5 :)

4 0
3 years ago
Hows everyone's day? free 25 points btw ;D
LenKa [72]

my day is pretty okay how is your day

6 0
3 years ago
Read 2 more answers
Hey all you math geniuses can you help me with this question that should be easy
kenny6666 [7]

Answer:

(B) \frac{-3}{x}

Step-by-step explanation:

A polynomial is the expression which consists of addition, subtraction, multiplication with any variables or constants but the division with a variable is not considered as a polynomial.

Since \frac{-3}{x} consists of division of -3 with a variable, therefore it is not a polynomial, rest all other options are polynomial as they involve addition,multiplication with variables.


7 0
3 years ago
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