Question

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

a. 8 b. -38 c. 38 d. -8
6.
f(x) = 3x² - 2x + 5
what is the value of f(5)?
a. 6 b. 10 c. 30 d. 70

Explanation:

Question 5

Step1: Substitute \( t = 23 \) into \( |15 - t| \)

Substitute \( t = 23 \) into the expression: \( |15 - 23| \)

Step2: Calculate the value inside the absolute value

First, calculate \( 15 - 23 = -8 \)

Step3: Find the absolute value of -8

The absolute value of a number is its distance from 0 on the number line, so \( | -8 | = 8 \)

Step1: Substitute \( x = 5 \) into \( f(x) = 3x^2 - 2x + 5 \)

Substitute \( x = 5 \) into the function: \( f(5) = 3(5)^2 - 2(5) + 5 \)

Step2: Calculate each term

First, calculate \( 3(5)^2 = 3 \times 25 = 75 \), then \( -2(5) = -10 \)

Step3: Combine the terms

Now, combine the terms: \( 75 - 10 + 5 = 70 \)

Answer:

a. 8

Question 6