asinus

(x^3)+2*x-1 i want its inverse

\(x^{3}+2x-1=0\)

\({\color{Black}With \ Online-calculator:}\)

\( The \ Equation \ has \ a \ real \ and \ two \ complex \ solutions.\)

\({\color{blue}x1=0.453397651516}\)

\({\color{blue}x2=-0.2266988+1.4677115 i}\)

\({\color{blue}x3=-0.2266988-1.4677115 i}\)   !

309,000 in scientific notation is \({\color{blue}3.09\times 10^{5}}\)   !

15*1,3^x=30

\(15\times 1,3^{x}=30\)

\(1,3^{x}=2\)

\(x\times ln1,3=ln2\)

\(x= \frac{ln2}{ln1,3}\)

\(\color{blue}x=2,64192679582\)  !

Wie berechnet man die Hypotenuse und die Seite, wenn man denn Flächeninhalt A hat?

Für rechtwinklige Dreiecke mit rechtem Winkel bei C gilt:
Flächeninhalt = (a * b) / 2
a² + b² = c² (Satz des Pythagoras)
a² = c * p, b² = c * q (Kathetensatz des Euklid)
h² = p * q (Höhensatz des Euklid)
sin Alpha = a / c

sin Beta = b / c

Du benötigst zusätzlich zum Flächeninhalt A

noch eine der Größen a, b, c, p, q, h, \({\color{blue}\alpha , \beta}\) .

Wie das geht, steht im Link.

Find the number of sides of a regular polygon if one interior angle is 120 degrees.

\({\color{red}2\alpha} = 180°- \frac{360°}{\color{blue}n}\)

\({\color{red}120°} = 180°- \frac{360°}{\color{blue}n}\)

\(\frac{360°}{{\color{blue}n}}= 180°-{\color{red}120°}\)

\({\color{blue}n= \frac{360°}{60°}}\)

\({\color{blue}n=6}\)     !

The polygon has 6 sides.

The tourist sees 4 local people standing at a bus stop.Find the probability that at least 1 will be able to speak english.30% of the population.

\({\color{blue}4\times 30 \% = 1.2}\)

One of the four probably speaks english.     !

x-2 1/4=1/18

\(x-2\frac{1}{4}=\frac{1}{18}\)

\(x=\frac{1}{18}+2\frac{1}{4}=\frac{2+81}{36}\)

\({\color{blue}x = 2\frac{11}{36}}\)    !

sqrt(4*x^2)*sqrt(13/52x^2 = x^2

\(\sqrt{4x^2}\times \sqrt{\frac{13}{52x^2} } =x^2\)

\(v=x^2\)   

\(\sqrt{4v}\times \sqrt{\frac{13}{52v} } =v\)

\(4v\times \frac{13}{52v}=v^2\)          [ * 52v

\(52v=52v^3 \)

\(v^2=1\)

\({\color{blue}x=\pm1}\)     Gruß asinus :- )    !

\(\sqrt{4x^2}\times \sqrt{\frac{13}{52x^2} } =x^2\)  

\(\sqrt {4(-1)^2}\times \sqrt{\frac{13}{52(-1)^2} } =(-1)^2\)

         2        \(\times\)          \(\frac{1}{2}\)        \(= \ \ 1\) 

\(\sqrt {4*1^2}\times \sqrt{\frac{13}{52*1^2} } =1^2\)

         2     \(\times\)         \(\frac{1}{2}\)     \(= 1\)

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in​ slope-intercept form.
m= -7/8; (-5,1)

\(m =\frac{y-y1}{x-x1}\)

\(-\frac{7}{8} =\frac{y-1}{x+5}\)

\(y = (x+5)\times\frac{-7}{8} +1\)

\({\color{blue}y = -\frac{7}{8}x -\frac{27}{8}}\)  !

8(3n+6)-20n-40 how to solve

\(8\times(3n+6)-20n-40\)

\(=24n+48-20n-40=4n-8={\color{blue}4\times(n-2})\)  !