What is 1099 divide by 54

Mathematics

2 answers:

miss Akunina [59]3 years ago

5 0

20.35185185186
if any confusion use a calculator

schepotkina [342]3 years ago

4 0

1099/54=20.35185185185185

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Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

Please help me get the right answer?!

Aleksandr-060686 [28]

The answer is A, $\frac{1}{81}$ . This is because when plugging in -2 for x, the expression will look like this: $9^{-2}$ . To make the exponent positive, you have to flip it into a fraction. Then it will be $\frac{1}{9^2}$ . Lastly, you simplify the denominator into 81.