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umka21 [38]
3 years ago
15

The variable z varies jointly with the square of x and inversely with y. Z = 4.4 when x = 3 and y =2. Find an equation that rela

tes the variables.
Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

z = 0.9778x^2 / y.

Step-by-step explanation:

When z varies with the square of x the equation is z = kx^2 where k = a constant.

If it also varies inversely with y the equation is z = kx^2/y.

When z = 4.4 , x = 3 and y = 2 we have:-

4.4 = k * 3^2 / 2

Multiplying by 2:

8.8 = 9k

k = 8.8 / 9  

= 0.9778.

So the required formula is z = 0.9778x^2 / y.


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stira [4]
<span>9/25 and 28/45 are both rather large numbers as denominators, so you can expect your LCD to be a bit large as well. the way i find the LCD is by trial and error. i take the biggest of the denominators and multiply it by low numbers (1, 2, 3, etc.) until i find one that works for both.

45*1 = 45, which 25 doesn't go into evenly
45*2 = 90, which when divided by 25, results in 3.6, aka not a whole number
45*3 = 135, which divided by 25 results in 5.4
45*4 = 180, which divided by 25 results in 7.2
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so your LCD, which is divisible by both 45 and 25, is 225.</span>
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3 years ago
What's the completed table
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Step-by-step explanation:

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