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ANTONII [103]
2 years ago
10

X− 4 ≤ 3 explain how to solve

Mathematics
2 answers:
rusak2 [61]2 years ago
7 0

Answer:

x ≤ 7

Step-by-step explanation:

1. add 4 to both sides x-4+4 ≤ 3+4

2. simplify x ≤ 7

Lyrx [107]2 years ago
3 0

Answer:

x≤7

Step-by-step explanation:

You want to isolate the variable to one side to get the answer. This is a one step inequality. You need to add 4 to both sides. x-4 +4 is x. 3+4 is 7. the Answer is x≤7

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3 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)

<u>step 2:-</u>

solving on both sides

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substitute x =0 value in equation (2)

1=A(1)+0

<u>A=1</u>

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)

<u>-</u>1  =  C

<u>step 3:-</u>

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)

<u>step 4:-</u>

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
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fgiga [73]
A=1/2x Base x Height

= 1/2 (10)(24)

=120
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