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3 years ago

Suppose that y varies inversely with x. Write a function that models the inverse function x=7 when y=3

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

9514 1404 393

Answer:

y = 21/x

Step-by-step explanation:

The inverse variation relation means ...

y = k/x

For the given values, we can determine the constant k:

3 = k/7

3×7 = k = 21

Then the function is ...

y = 21/x

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

What is an equivalent to -16m^2n-(-25m^2n)+(-7m^2n)

pantera1 [17]

Answer:

The equivalent expression is:

$-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n$

Step-by-step explanation:

Given the expression

$-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a$

$=-16m^2n+25m^2n-7m^2n$

$\mathrm{Add\:similar\:elements:}\:-16m^2n+25m^2n-7m^2n=2m^2n$

$=2m^2n$

Therefore, the equivalent expression is:

$-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n$

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3 years ago

Jasmine's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 11 senior tickets

nikdorinn [45]

If we make s = Senior tickets,

11s+1s

to find the values of c and s,w

If we express s in terms of c on t

s=21-2c

replacing this value on the first equation, we obtain

$11(21-2c)+4c=123\\11.21-22c+4c=123\\231-18c=123\\231=123+18c\\231-123=18c\\108=18c\\c=\frac{108}{18} \\c=6$

Placing c=6 on s=21-2c, we have

$s=21-2(6)\\s=21-12\\s=9$

Thus the senior ticket costs $9 and the child ticket cost $6

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3 years ago