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Semmy [17]
3 years ago
13

Y is inversely proportional to x

Mathematics
2 answers:
irinina [24]3 years ago
8 0
A ) equation would be X = Z / Y
B ) if X = 9 ------------> Y = 1/7
X = 21 ----------> Y = ?
21*1/7 = 21/7 , 21/7÷9 = 21*9/7 = 27

so Y equal 27
iris [78.8K]3 years ago
3 0

Answer:

y=\frac{63}{x}

y=3

Step-by-step explanation:

y is inversely proportional to x

when y=7, x=9

When y is inversely proportional to x , then the equation is

y=\frac{k}{x}

where k is the constant of proportionality

y=7, x=9 plug in the values and find out k

7=\frac{k}{9}

Multiply 9 on both sides

63=k

an equation connecting y and x is y=\frac{k}{x}

y=\frac{63}{x}

b) work out the value of y when x=21

y=\frac{63}{x}

Plug in 21 for x

y=\frac{63}{21}

y=3

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Which equation best describes the same line as y - 6 = -4(x+1)
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Step-by-step explanation:

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where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤
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THIS IS THE COMPLETE QUESTION BELOW

The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.

Answer

$168.27

Step by step Explanation

Given p=90000/400+3x

With the limits of 40 to 50

Then we need the integral in the form below to find the average price

1/(g-d)∫ⁿₐf(x)dx

Where n= 40 and a= 50, then if we substitute p and the limits then we integrate

1/(50-40)∫⁵⁰₄₀(90000/400+3x)

1/10∫⁵⁰₄₀(90000/400+3x)

If we perform some factorization we have

90000/(10)(3)∫3dx/(400+3x)

3000[ln400+3x]₄₀⁵⁰

Then let substitute the upper and lower limits we have

3000[ln400+3(50)]-ln[400+3(40]

30000[ln550-ln520]

3000[6.3099×6.254]

3000[0.056]

=168.27

the average price p on the interval 40 ≤ x ≤ 50 is

=$168.27

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