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34kurt
3 years ago
10

The cost of a ball is one fourth of the cost of a bat. Write this statement as a linear equation in two variables

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

y: cost of a ball

x: cost of a bat

y = 1/4 * x

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Let the number be n.

Then:

n^2 + (1/n)^2 = 82/9; find n.  Find the LCD; it is 9n^2.

Mult all 3 terms by 9n^2:
                                                                  82*9n^2
9n^4 + 9 = (82/9)(9n^2)  =>    9n^4 + 9 = ------------  
                                                                        9
Then 9n^4 - 82n^2 + 9 = 0

I used my graphing calculator to find that n = 3.  

Let's check:     is 3^2 + (1/3)^2 = 82/9?
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