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lapo4ka [179]
3 years ago
5

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, <u>switch the "x" and "y" variables</u>, then solve  or <u>isolate for "y"</u>, 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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Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
3 years ago
Please help, I'll mark Brainiest. It's 8th grade math
yawa3891 [41]

Answer:

(-5, 2)

Step-by-step explanation:

<u>plug x into the equation x - 5y = -15</u>

-5 - 5y = -15

add 5 to both sides: -5y = -10

divide by -5: y = 2

7 0
3 years ago
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Jordan needs one can of juice to make 24 servings of a punch. How many servings of punch can she make with 1/2 a can of juice?
kati45 [8]
Compare the two sets of numbers with a ratio. 1 can for 24 servings is to 1/2 can for x servings.

x= # servings from 1/2 can


1/24= (1/2)/x
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x= 24/2

x= 12 servings


ANSWER: She can make 12 servings from 1/2 can of juice.

Hope this helps! :)
3 0
3 years ago
a parallelogram has vertices E(-3,1) F(0,2) G(-5,5) and H(-2,6) what are the coordinates of te midpoint of each diagonal
sesenic [268]

in parallelogram EFGH

the mid point of diagonal EG is

(-3-5)/2,(1+5)/2=(-4,3)

similarly the midpoint of diagonal FH is

(0-2)/2,(2+6)/2=(-1,4)

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3 years ago
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Line B

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