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Fofino [41]
3 years ago
6

Find the 8th term of the arithmetic sequence -2x+5−2x+5, -7x+8−7x+8, -12x+11, ...

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

  -37x+26

Step-by-step explanation:

The x-coefficients have the sequence ...

  -2, -7, -12, ...

which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...

  -2 + (-5)(8 -1) = -37

__

The constants have the sequence ...

  5, 8, 11, ...

which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...

  5 +(3)(8 -1) = 26

The 8th term of the sequence is -37x +26.

_____

The general term of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

In the above, we have used n=8 to find the 8th term.

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(2^3)=2*2*2=8
(2^-7)=1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/128
8*1/128=1/16=.0625
7 0
2 years ago
Solve 2(4/x+8)=18 <br><br> Side note: 4/X is supposed to be a fraction
kirill115 [55]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Divide by 2, subtract 8 ...

  2(4/x +8) = 18

  4/x +8 = 9

  4/x = 1

  4 = x . . . . . multiply by x

6 0
2 years ago
Read 2 more answers
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5 meters
mojhsa [17]

Answer:

1. L= A/W

2. 4m

Step-by-step explanation:

We can define this problem as a word problem relating to mensuration of flat shapes, a

rectangle

1. Let the length be L and the width be W

Given

Area A= 6m²

W= 1.5m

We know that the area of a rectangular shape is

Area = L x W

The expression for the length is

L= A/W

2. The solution for the length is

6=1.5L

L= 6/1.5= 4m

8 0
3 years ago
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What type of triangle has an exterior angle that is obtuse at to vertices?
Norma-Jean [14]
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example : Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)
7 0
3 years ago
Slope of the line (15,20),(-1,11)
masya89 [10]

Answer:

Slope, Angle, & Distance:

Slope: 0.5625

The slope of the line connecting (15, 20) and (-1, 11) is 0.5625

Slope (m): 0.5625

Angle (θ): 29.3578°

Distance: 18.3576

Δx: 16

Δy: 9

Slope Intercept Form:

(y = mx + b)

y = 0.5625x + 11.5625

Step-by-step explanation:

Steps to Find Slope

Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(11 - 20)

(-1 - 15)

Simplify each side of the equation

m=

(11 - 20)

(-1 - 15)

=

-9

-16

Solve for slope (m)

m=0.5625

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2 years ago
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