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3 years ago

Find the mean(x) of the first ten prime number and hence show that sigma( x1 - x)= 0

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Please see the attached work. I'm assuming that you're familiar with sigma notation (I can explain it if you need that), and as a reminder, x with the line over it indicates the arithmetic mean.

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If f(x)=2x-3/5 , which of the following is the inverse of f(x)?

grigory [225]

Answer:

(5x+3)/2

Step-by-step explanation:

f(x)=(2x-3)/5

f(x)=y

y=(2x-3)/5

interchanging role of x and y

x=(2y-3)/5

5x=2y-3

5x+3=2y

y=(5x+3)/2

the inverse if f(x) = (5x+3)/2

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3 years ago

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IrinaK [193]

Answer:

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Step-by-step explanation:

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3 years ago

Given <img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

3 years ago

A rectangle has an area of 10x^2-29x-21 square units. Which of the following could represent the primeter of the rectangle in te

nata0808 [166]

Area=LW
10x^2-29x-21=area
factor and those are the lengh and width
(2x-7)(5x+3)
perimiter=2(L+W)
P=2(2x-7+5x+3)
P=2(7x-4)
P=14x-8

answer is D

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3 years ago

I need help plz its basic trig

Levart [38]

Answer:

i dont know it srry

Step-by-step explanation:

8 0

2 years ago