stefan is three years younger than his sister katie. The sum of Stefans age three years ago and 2/3 of katies age at that time i
s 12.How old is Katie now. Show your work
2 answers:
If x is the age of S
And y is the age of K
So we have x=y+3
And the second equation is x-3 + 2/3)y = 12
We have to solve the system
x-y=3
x+2/3y=15
we find x=10.2 and y=7.2
<span>so Katie is 7 </span>
Katie's age be k, then staefan's age = k - 3
(k - 3) - 3 + 2/3(k - 3) = 12
k - 6 + 2/3k - 2 = 12
5/3k - 8 = 12
5/3k = 12 + 8 = 20
k = (20 x 3) / 5 = 60/5 = 12 years.
Therefore, katie's age is 12 years old.
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g(4) = 7 and f(g(4)) = 43
Step-by-step explanation:
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g(x) = 3(4) - 5
g(x) = 12 - 5
g(x) = 7
Plug in:
f(g(4))
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Now, find f:
7^2 - 7 + 1
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42 + 1
f(x) = 43
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The answer is 36