<h3>
Answer: y = 12/(x^2)</h3>
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Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
Answer:
A function is a input value that is paired with an output value
Step-by-step explanation:
Answer:
free points thanks
Step-by-step explanation:
Answer:
x = 36
Step-by-step explanation:

Subtract x and 36 from both sides.

Divide both sides by -1.

Square both sides.

Subtract 144x from both sides.

Factor the right side.



Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.
Check x = 36:





Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.
Answer:
x=4
Step-by-step explanation:
3x = 12
divide by 3
x =12/3