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For the function r, r(25)=1/2x²-3x, what is the value of f(9)?

a. 18
b. 32
c. -18
d. -32

User Fqhv
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1 Answer

5 votes

Final Answer:

The value of
\( r(9) \) for the given function
\( r(x) = (1)/(2)x^2 - 3x \) is -18. Therefore, the correct answer is option (c).

Step-by-step explanation

To find the value of
\( r(9) \), substitute
\( x = 9 \) into the given function
\( r(x) = (1)/(2)x^2 - 3x \):


\[ r(9) = (1)/(2)(9)^2 - 3(9) \]


\[ r(9) = (1)/(2)(81) - 27 \]


\[ r(9) = 40.5 - 27 \]


\[ r(9) = -18 \]

Therefore, the correct answer is -18, which corresponds to option (c).

The function
\( r(x) = (1)/(2)x^2 - 3x \) represents a quadratic function. The process of finding
\( r(9) \) involves substituting the value of
\( x \) (which is 9 in this case) into the function and performing the necessary calculations. The resulting value (-18) indicates the function's output when
\( x = 9 \). This process is a fundamental concept in evaluating functions and is commonly used in mathematics to determine specific values based on given functions.

User Deepend
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