asinus

Wie ist die Scheitelpunktsform von f(x)=(3/2)x^2+(x/2) oder wie find ich sie raus?

\(f(x)=1,5x^2+0,5x\)

\(f'(x)=3x_S+0,5=0\\x_S=\frac{-0,5}{3}\\\color{blue}x_S=-\frac{1}{6}\)

\(y_S=1,5(x_S)^2+0,5x_S=1,5\cdot (-\frac{1}{6})^2+0,5\cdot (-\frac{1}{6})\\y_S=\frac{3}{2\cdot 36}-\frac{1}{2\cdot 6}=\frac{3}{2\cdot 36}-\frac{6}{2\cdot 36}=-\frac{1}{24}\\\color{blue}y_s=-\frac{1}{24}\)

\(\Large Scheitelpunkt \\S(-\frac{1}{6}\ ;\ -\frac{1}{24})\)                                                  \(\Large f(x)=\frac{3}{2}x^2+\frac{x}{2}\)

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how do i divide 1x10^-14 by 4.6x10^-4. those are in scientific notation. please help

\(\frac{1\times 10^{-14}}{4.6\times 10^{-4}}=\frac{1}{10^{14}}:\frac{4.6}{10^4}\)

One divides by a fraction, multiplying by the reciprocal value of the fraction.

A power with negative exponent is equal to its reciprocal value with positive exponent. \(10^{-14}=\frac{1}{10^{14}}\)

\(\frac{1}{10^{14}}:\frac{4.6}{10^4}=\frac{1}{10^{14}}\times\frac{10^4}{4.6}=\frac{1}{4.6\times 10^{10}}=\frac{0.2173..}{10^{10}}=\frac{2.173..}{10^{11}}\)

\(=2.17391304348\times 10^{-11}\)

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how do i calculate the area of a circle

\(The \ area \ of \ a \ circle \ is\\A=\pi r^2\\or\\A=\frac{d^2\pi}{4}\)

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Mr. Knickerbocker went to the grocery store with $25. He bought two boxes of crackers that were $2.50 each, a container of dip for $4 and bags of chips that were $4 each. Write an equation to determine the number of bags of chips that Mr. Kinckerbocker bought if he spent exactly the $25. Can't think right now. Just the equation is fine, I'll solve it.

\(2\times Cr\times\frac{$2.50}{Cr}+1\times ContDip\times \frac{$4}{ContDip}+x\times Chips \times\frac{$4}{Chips}=$25\)

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log4(x+2)=3

A)

\(log(4(x+2))=3\\10^3=4(x+2)\\4x+8=1000\\x=\frac{1000-8}{4}\\\color{blue}x=248\)

B)

\(log(4 )\cdot (x+2)=3\\log\ 4=\frac{3}{x+2}\\x+2=\frac{3}{log\ 4}\\x=\frac{3}{log\ 4}-2\\\color{blue}x=2.98289214233\)

C)

\(log_4(x+2)=3\\4^3=x+2\\x=4^3-2\\\color{blue}x=62\)

  !        Look for a solution.

7/8+1/2=?

\(\frac{7}{8}+\frac{1}{2}=\frac{7}{8}+\frac{4}{8}=\frac{11}{8}\color{blue}=1\frac{3}{8}\)

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Thanks for the request Melody.

My birthday is December 2nd.

Greeting asinus :- )

WAS IST DIE WURZEL AUS 395?    19,8746

WAS IST DIE WURZEL AUS 4?           2

\(a+\sqrt{4}=a+2\\a-\sqrt{4}=a-2\)

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Thanks for the birthday list!

1/2 + 1 + 1/4

\(\frac{1}{2}+1+\frac{1}{4}=\frac{2}{4}+\frac{4}{4}+\frac{1}{4}=\frac{7}{4}\color{blue}=1\frac{3}{4}\)

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