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5. what is the value of |15 - t| when t = 23? a. 8 b. -38 c. 38 d. -8 6…

Question

  1. what is the value of |15 - t| when t = 23?

a. 8 b. -38 c. 38 d. -8

  1. what is the value of f(5)?

a. 6 b. 10 c. 30 d. 70

Explanation:

Question 5

Step1: Substitute \( t = 23 \) into the expression

Substitute \( t = 23 \) into \(|15 - t|\), we get \(|15 - 23|\).

Step2: Calculate the value inside the absolute value

Calculate \(15 - 23=-8\), so the expression becomes \(|-8|\).

Step3: Evaluate the absolute value

The absolute value of \(-8\) is \(8\) (since the absolute value of a number is its distance from \(0\) on the number line, and distance is non - negative).

Assuming there is a function \(f(x)\) such that when \(x = 5\), the value of \(f(5)\) is \(10\) (maybe from a table or a known function in the original context).

Answer:

a. 8

Question 6

(Note: Since the function \(f(x)\) is not given, we assume that there is a common function context or maybe a typo, but from the options, if we assume a simple function like \(f(x)=2x\) (though this is an assumption), when \(x = 5\), \(f(5)=10\) which matches option b. But if we consider a different function, the result may vary. However, based on the marked answer, we proceed with the following.)