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3 years ago

Convert the decimal 0.92 to a fraction.

Mathematics

1 answer:

Pavel [41]3 years ago

6 0

Answer:

23/25

Step-by-step explanation:

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What does f(6)=24 mean?

d1i1m1o1n [39]

Answer:

we're is the answer

Step-by-step explanation:

were

8 0

2 years ago

Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

3 years ago

Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?. . A. (–4, –1). B. (–4,

viva [34]

The answer is D (10,2)

5 0

3 years ago

0.4 is 10 times as much as ?

dimulka [17.4K]

0.4 is 10 times as much as ? for answering this, we put x an unknown number such that 0.4 is 10 times as much as x, so it does mean 0.4 =10x, so for finding the value of x, we divids 0.4 by 10, x= 0.4/10=0.04. the answer is 0.4 is 10 times as much as 0.04Hope this helps. Let me know if you need additional help!

8 0

3 years ago

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-2y-4=4(y-1) help me find the answer to this

Pepsi [2]

-2y-4=4y-4
2) cancel 4 out on both sides
-2y=4y
3) divide both sides by -2
y=-2y
4) subtract both sides by -2y
y+2y=0
5)3y=0
6) divide by 3

Y=0

3 0

3 years ago

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