which equation or function is linear?
A. 3xy=4
B. f(x)=2/3(1-x^2)
C. 2y=(2x-1)/4
D. y=3/x+1
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Answer:
C. 2y = (2x-1)/4
Step-by-step explanation:
An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.
a) 3xy = 4 . . . . sum of exponents is 1+1=2
b) f(x) = 2/3(1 -x^2) . . . . exponent is 2
c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)
d) y = 3/(x+1) ⇒ xy +y = 3 . . . . sum of exponents is 1+1 = 2