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KATRIN_1 [288]
2 years ago
9

Fing the LCM of 54 and 81

Mathematics
2 answers:
mina [271]2 years ago
5 0
The lcm of 54 and 81 is the smallest positive integer that divides the numbers 54 and 81 without a remainder. Spelled out, it is the least common multiple of 54 and 81
Lilit [14]2 years ago
5 0

Step-by-step explanation:

Factor of 54

= 2 \times 3 \times 3 \times 3

Factor of 81

= 3 \times 3 \times 3 \times 3

Now ...

Common factor = 3 × 3 × 3

= 27

LCM = common factor × remaining factors..

= 27 × 2 × 3

= 162

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What represents the inverse of the function f(x)=4x
Yuki888 [10]

Answer:

\frac{x}{4}

Step-by-step explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x= f^{-1} (y)

Therefore,

y = 4x

x = \frac{y}{4}

as x= f^{-1} (y)

So,

f^{-1} (y) = \frac{y}{4}

replacing y by x in the above expression

f^{-1} (x) = \frac{x}{4}

So our inverse function is  \frac{x}{4}

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Step-by-step explanation:


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3 years ago
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Galina-37 [17]

Given rational expression is:


\frac{(4x^2-32x+48)}{(3x^2-17x-6)}

Now we can simplify this by factoring as shown below:


=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}


=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}


=\frac{4(x-2)\left(x-6\right)}{3x\left(x-6\right)+1\left(x-6\right)}


=\frac{4(x-2)\left(x-6\right)}{(3x+1)\left(x-6\right)}


=\frac{4(x-2)}{(3x+1)}



Hence final answer is \frac{4(x-2)}{(3x+1)}




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