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Anastasy [175]
3 years ago
14

(11/x^2-25)+(4/x+5)= 3/x-5

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{11}{x^2-25}+\cfrac{4}{x+5}=\cfrac{3}{x-5}\implies \cfrac{11}{x^2-5^2}+\cfrac{4}{x+5}=\cfrac{3}{x-5}

\bf \cfrac{11}{(x-5)(x+5)}+\cfrac{4}{x+5}=\cfrac{3}{x-5}\impliedby 
\begin{array}{llll}
\textit{notice, LCD is }(x-5)(x+5)\\
\textit{so let's multiply all by it}\\
\textit{to toss the denominators}
\end{array}

\bf (x-5)(x+5)\left( \cfrac{11}{(x-5)(x+5)}+\cfrac{4}{x+5} \right)=(x-5)(x+5)\left( \cfrac{3}{x-5} \right)
\\\\\\
11+4(x-5)=3(x+5)\implies 11+4x-20=3x+15
\\\\\\
4x-9=3x+15\implies x=24
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Can anyone help me ?
taurus [48]

Answer:

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66,6% = ⅔

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33,3% = ⅓

85% = 17⁄20

80% = ⅘

75% = ¾

90% = 9⁄10

20% = ⅕

10% = ⅒

Step-by-step explanation:

To convert from a fraction to a percentage, divide both the denominator and numerator to get a decimal point, then move the decimal point twice to the right, then attach the percentage symbol:

⅒ = 0,1 = 10%

⤻⤻

⅕ = 0,2 = 20%

⤻⤻

9⁄10 = 0,9 = 90%

⤻⤻

¾ = 0,75 = 75%

⤻⤻

⅘ = 0,8 = 80%

⤻⤻

17⁄20 = 0,85 = 85%

⤻⤻

_ _

⅓ = 0,3 = 33,3%

⤻⤻

_ _

⅔ = 0,6 = 66,6

All those bars above those digits are what are known as bar notation, indicating that digits repeat.

I am joyous to assist you anytime.

6 0
4 years ago
Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

43,000 = A(16.243708)

A = \frac{43000}{16.243708}

A = $2,647.17883 ≈ $2647.18

5 0
3 years ago
M is the midpoint of AB.<br> AM = = 4x - 8<br> MB =<br> 5x-3/3<br> Find x and AB
marusya05 [52]
X=-7 AB=-72

steps

since m is a midpoint, AM and MB are congruent so you set the two equations equal to each other, 4x-9=5x-3/3( is this a typo? bc 3/3 is 1)
subtract 4x from both sides m, -8=x-1
add 1 to both sides
x=-7

then plug -7 in for x 4(-7)-8=-36
since the two segments are congruent u do -36 x 2= -72
7 0
3 years ago
Lori entered a 100 km race. A Kilometer is about of a mile. About how many miles ling is the race?
djverab [1.8K]

Answer:

About 62.1371

Step-by-step explanation:

6 0
3 years ago
Which of the following steps could be used to solve the equation 93 = x + 58? A. Add 58 to both sides. B. Subtract 58 from both
mario62 [17]

Answer:

Subtract 58 from both sides

Step-by-step explanation:

93 = x + 58

Subtract 58 from both sides

93- 58 = x+58-58

35 = x

6 0
4 years ago
Read 2 more answers
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