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snow_tiger [21]
3 years ago
12

the value of y is inversely proportional to the value of x when y=42, x=6. what is the value when x=9

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
Hello,

y=k/x
if x=6 then y=42==>42=k/6==>k=252
if x=9 then y=252/9=28

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Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?
natima [27]

Answer:

The answer is D.

Step-by-step explanation:

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4 0
3 years ago
A movie theater is holding a contest for people who are in line before 10 p.m. The people who are within three places of the 99
pav-90 [236]

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

4 0
4 years ago
A company conducted a survey to see whether its new toothpaste was morepopular with children or adults. Of the children surveyed
Naily [24]

Given: The information provided in the table shown

To Determine: From the options provided, the correct option that best describe the information given in the table

Solution

Given that 28% of the children used toothpaste. From the table

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Let us calculate the percentage of adult that used toothpaste

Adult(toothpaste)=\frac{0.08}{0.75}=\frac{8}{75}\times100=10.667\%\approx11\%

Hence, a smaller percentage of adults (about 11%) use the toothpaste.

The correct option is OPTION C

4 0
2 years ago
Find the value of x.
blagie [28]

Answer:

Step-by-step explanation:

Ask yo teacher for help bih

4 0
3 years ago
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