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3 years ago

If y varies inversely with x and y=2 when x=8 what is K the constant of proportionality

Mathematics

1 answer:

777dan777 [17]3 years ago

7 0

Y=k/x
2=k/8
k=16
the answer is A

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Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...

MrMuchimi

Answer:

$-13x-23$

Step-by-step explanation:

Given sequence: $x-9, -x-11, -3x-13$

Therefore,

$a_1=x-9$
$a_2=-x-11$
$a_3=-3x-13$

General form of an arithmetic sequence: $a_n=a+(n-1)d$

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

$\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}$

Therefore,

$a_n & =(x-9)+(n-1)(-2x-2)$

To find the 6th term, input n = 6 into the equation:

$\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}$

3 0

3 years ago

5( x + 7) - 3 ( x - 4) = 7x + 2 what is x?

S_A_V [24]

Answer:

x=9

Step-by-step explanation:

5( x + 7) - 3 ( x - 4) = 7x + 2

Distribute

5x+35 - 3x +12 = 7x +2

2x +47 = 7x+2

Subtract 2x from each side

2x+47-2x =7x -2x+2

47 = 5x+2

Subtract 2 from each side

47-2= 5x+2-2

45= 5x

Divide by 5

45/5 =5x/5

9 =x

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There’s no graph belowww

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3 years ago

A centipede is crawling 6 inches per minute. how long will it take the centipede to travel 1 yard?

Ede4ka [16]

6 minutes, because 1 yd is equivalent to 3 feet, which is equivalent to 36 inches. If a centipede crawls at 6 inches per minute, you do 6 x 6, which equals 36, and get 6 minutes!

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4 years ago

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make

xz_007 [3.2K]

Answer:

6 and 36

Step-by-step explanation:

I just took the test.

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3 years ago

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