Consider the equation y=16-x. which of the following statements is true
1 answer:
Answer:
C. Both x is a function of y and y is a function of x
Step-by-step explanation:
A <u>function</u> is a relationship which assigns to each input (from the domain) value, a unique output (from the range).
y is a function of x means x is from domain, y is from range
x is a function of y means y is from domain, x is from range
1. Given
y is a function of x because for each x there is exactly one y corresponding to this x.
2. Rewrite expressing x in terms of y:
x is a function of y because for each y there is exactly one x corresponding to this x.
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. Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.