If x varies directly with y and x=6 when y=8, find x when y=18.

Mathematics

1 answer:

andrey2020 [161]3 years ago

6 0

Answer:

x = 13.5

Step-by-step explanation:

direct variation

y = kx

substitute x and y to find k

8 = k*6

divide by 6

8/6 =k

4/3 = k

y = 4/3 x

now put in y =18

18 = 4/3 x

multiply by 3/4

18 * 3/4 = 3/4 * 4/3 x

54/4 = x

change to a decimal

13.5 =x

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$First\ term=a_1\\\\ Second\ term=a_2=a_1\times r\\\\ Third\ term=a_3=a_2\times r=a_1\times r^2\\\\n_{th}\ term=a_n=a_{n-1}\times r=a_1\times r^{n-1}$

A<em> infinite geometric progression</em> may have a finite sum. When the absolute value of the ratio is less than 1, the sum of the infinite geometric progression has a finite value equal to: