<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:
-62
Step-by-step explanation:
Answer: the two numbers are 7 and -27
Step-by-step explanation:
Let the two numbers be a and b
From the question,
a + b = -27.......eqn 1
a - b = 41............eqn 2
Sum the two equations
2a = 14
Divide both sides by 2
a = 14/2; a = 7
Substitute a = 7 into equation 2
a - b = 41
7 - b = 41
Make b the subject of the equation
-b = 41 -7
-b = 34
b = -34
Check:
a + b = -27, slot the values of a and b
7 + (-34) = -27
7- 34 = -27
I hope this is clear, please mark as brainliest answer
add 7 to 27 which equals 34
Answer:
f(x) = 54(two-thirds) Superscript x minus 1
Step-by-step explanation:
Given that:
First peak : 36 / 54=2/3
Second peak : 24 / 36 = 2/3
The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height
Modeling this using geometric progression :
An=a1r^(n-1)
An = nth term of a geometric progression
a1=first term
r=common ratio = 2/3
n = nth term
a1=54
Substituting into the above formular :
An=54(2/3)^(n-1)