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slava [35]
3 years ago
9

1/10n-3/10=4/10 please help

Mathematics
2 answers:
BARSIC [14]3 years ago
8 0

Answer:

n=7

Step-by-step explanation:

1/10n-3/10=4/10

1/10n-3/10+310=4/10+310

1/10n=7/10

10x1/10n=7x10/10

n=7

I hope this helps!

vova2212 [387]3 years ago
3 0
N=7
1/10n-3/10=4/10
(add the -3/10 to the other side)
1/10n=7/10
(Than divide)
You get n=7
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Algebra 1 system of equations -10x − 7y = -12<br><br>x = 4
leonid [27]

=  >  \:  - 10x - 7y =  - 12 \\  =  >  \:  - 10(4) - 7y =  - 12 \\  =  >  \:  - 40 - 7y =  - 12 \\  =  >  \:  - 7y =  - 12 + 40 \\  =  >  \:  - 7y = 28 \\  =  > y =   -  \frac{28}{7}  \\  =  >  \: y =  - 4
Hope this helps!
7 0
3 years ago
Read 2 more answers
SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).
Ann [662]

Answer:

Required series is:

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

Step-by-step explanation:

Given that

                           f'(x) = -\frac{1}{1 + x^{2}} ---(1)

We know that:

                  \frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}} ---(2)

Comparing (1) and (2)

                           f'(x)=-(tan^{-1}x) ---- (3)

Using power series expansion for tan^{-1}x

f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx

= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]

=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}

=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

as

                 tan^{-1}(0)=0 \implies C=0

Hence,

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

7 0
4 years ago
Jeremy swims for 5 3/5 kilometers in a 7 Day period. she swims the same distance each day. what distance does he swim in each da
disa [49]

Answer:

Step-by-step explanation:

You turn 5 3/5 into an improper fraction, to do that you do 5 x 5 = 25 then 25 + 3 = 28/5

so in a 7 day period she swims 5.6 kilometers. So you have to do 5.6/7 = 0.8

So it would be 0.8 kilometers in a day which is 4/5 kilometers so I don't know if the answers were just wrong?

5 0
3 years ago
State if the given functions are inverses<br>NO LINKS!!!! Part 1​
Dafna11 [192]

Step-by-step explanation:

3:

h(x)=(-3x-15)/5

let y=(-3x-15)/5

interchanging role of x &y

x=(-3y-15)/5

5x+15=-3y

y=-(5x+15)/3

h-1(x)=-(5x+15)/3

not

equal to f(x)=(-3x-6)/4

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>func</u>tion <u>are</u><u> </u><u>not</u><u> </u><u>function</u><u> </u><u>of</u><u> </u><u>each </u><u>other</u><u> </u><u>.</u>

4:

g(x)=2/3x-2/3

let

y=2/3(x-1)

interchanging role of x &y

x=2/3(y-1)

3/2x+1=y

g-1(x)=3/2x+1

not equal to f(x)=½x+1

<u>Given function are not function of each other .</u>

3 0
3 years ago
Read 2 more answers
Factor: x(3y-5)+3(3y-15)
alina1380 [7]

3xy-5x+9y-45

Step-by-step explanation:

Step by Step Solution

STEP1:STEP2:Pulling out like terms

 2.1     Pull out like factors :

   3y - 15  =   3 • (y - 5) 

Equation at the end of step2: (x • (3y - 5)) + 9 • (y - 5) STEP3:Equation at the end of step 3 x • (3y - 5) + 9 • (y - 5) STEP4:Trying to factor a multi variable polynomial

 4.1       Split       3xy-5x+9y-45 

 4.1       Split       3xy-5x+9y-45 

             into two 2-term polynomials

             -5x+3xy   and    +9y-45

             This partition did not result in a factorization. We'll try another one:

             3xy-5x   and    +9y-45

             This partition did not result in a factorization. We'll try another one:

             3xy+9y   and    -5x-45

             This partition did not result in a factorization. We'll try another one:

             3xy-45   and    +9y-5x

             This partition did not result in a factorization. We'll try another one:

             -45+3xy   and    +9y-5x

             This partition did not result in a factorization. We'll try 

8 0
1 year ago
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