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puteri [66]
3 years ago
5

Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)

Mathematics
2 answers:
g100num [7]3 years ago
8 0
X = 26/23. Hope it helps
kolezko [41]3 years ago
5 0

\tt 3(x+2)-9=15-4(5x-2)

To solve this equation, let's apply the distributive property:-

Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-

\tt 3x - 3=15 - 20x+8

Add 15 and 8 = 23

\tt 3x - 3=23 - 20x

Now, add 20x to both sides:-

\tt 3x - 3=23 - 20x

Combine like terms:-

\tt 23x-3=23

Add 3 to both sides:-

\tt 23x=23+3

\tt 23x=26

Divide both sides by 23:-

\tt \: x =  \dfrac{26}{23}

- :)

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ollegr [7]
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4 0
3 years ago
If f(x) = 6x – 4, then f^-1(x)=
guapka [62]

Answer:

f^{-1}(x)=\frac{x}{6}+\frac{2}{3}

Step-by-step explanation:

Given function.

f(x)=6x-4

To find the inverse function f^{-1}(x)

Step 1:

Replace f(x) withy in the function.

y=6x-4

Step 2:

Interchange y with x in the equation.

x=6y-4

Step 3:

Solve for y.

We have x=6y-4

Adding 4 to both sides,

x+4=6y-4+4

x+4=6y

Dividing each term by 6 to isolate y

\frac{x}{6}+\frac{4}{6}=\frac{6y}{6}

\frac{x}{6}+\frac{4}{6}=y

Simplifying fractions by dividing the numerator and denominator by  their GCF.

\frac{x}{6}+\frac{4\div 2}{6\div 2}=y

\frac{x}{6}+\frac{2}{3}=y

Thus the equation of y is:

y=\frac{x}{6}+\frac{2}{3}

Step 4:

Replace y with f^{-1}(x)

f^{-1}(x)=\frac{x}{6}+\frac{2}{3} (Answer)

Thus, we have the inverse function

8 0
3 years ago
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