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3 years ago

Solve the equation. Check the solution -4/x+1 = -1/x+5

Mathematics

2 answers:

Sveta_85 [38]3 years ago

7 0

Answer:

The correct answer is x=0.75

Step-by-step explanation:

-4/x+1 = -1/x+5

1/x-4/x = 5-1

1/x(1-4) = 4

-3 1/x=4

-3/x=4

x=-3/4

x=-0.75

Check

(-4/-0.75)+1=(-1/-0.75)+5

6,33=6,33

boyakko [2]3 years ago

4 0

The answer to this equation is x= -19/3

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Natali [406]

Yes it will, they are the same value just in diff locations

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3 years ago

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3 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

What is 2/5% of 820? 1.8 2.05 2.88 3.28

Margarita [4]

Answer:

D) 3.28

Step-by-step explanation:

820/x=100/2.5

(820/x)*x=(100/2.5)*x - we multiply both sides of the equation by x

820=40*x - we divide both sides of the equation by (40) to get x

820/40=x

20.5=x

x=20.5

now we have:

2.5% of 820=20.5

6 0

2 years ago

The average temperature of the week is 80 degrees. The first 3 days have an average of 78 and the average of the last 3 days is

Tju [1.3M]

Answer:

Step-by-step explanation:Solution:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 78 & 80

step 2 Find the sum of the given two numbers.

sum = 78 + 80 = 158

step 3 Divide the sum by 2 to get the average.

average = 158/2

= 79

Thus, 79 is an average of positive integers 78 and 80.

3 0

2 years ago