Consider the functions below. f(x) = x² - 6x - 27 g(x) = x - 9

Mathematics

1 answer:

aleksklad [387]2 years ago

3 0

Correct answer: 1) (f/g)(x)

Solution: f(x)=x^2-6x-27=(x+3)(x-9)

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Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor function

Jet001 [13]

Answer:

A. neither a relation nor a function

Step-by-step explanation:

A relation between two sets is a collection of ordered pairs containing one object from each set.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Quadratic equations are not functions. Quadratic equations are not a function because they touch two points that is on the same y-axis. Furthermore, if they are two points that have the same x axis, then it is not a function either. It doesn't have a relation either because there are two outputs that are the same by the x axis for 3x^2 - 9x + 20. Those are x = 1 and x = 2. For proof, you can plug both of them in.

3(1)^2 - 9(1) + 20 = 14

3(2)^2 - 9(2)+ 20 = 14

Both answers have 14 as the y-axis/output. This proves that this quadratic equation is not a relation either. Therefore, this equation is neither a relation nor a function.

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3 years ago

3. Is XY Tangent to circle Z? Y 12 X (20 Z 18

Ratling [72]

Answer:

XY is a tangent

Step-by-step explanation:

Given

$XY = 12$