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3 years ago

What is the inverse of x-2

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

8 0

Answer:

y = x + 2

Step-by-step explanation:

The expression x-2 is from the equation y = x - 2.

To find the inverse of the equation, switch the "x" and "y" variables, then solve or isolate for "y", meaning to separate it from the other numbers.

y = x - 2 Original equation

x = y - 2 Switched "x" and "y" variables

x + 2 = y - 2 + 2 Add 2 to both sides to cancel out '-2' on the side with "y"

x + 2 = y

y = x + 2 Variable is on left side in standard formatting

To isolate, do the reverse operation for the number you want to get rid of.

On the side with "y", I wanted to get rid of '-2' so I could separate "y" from everything else. '+2' is the reverse operation for '-2'.

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Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

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The Value of the sum can be determined by using the expression for geometric series:

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Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

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