Question

Which of the following expressions represents the verbal description below? "The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1."

(7x + 3)^2 / 4(x - 1)
(7x + 3)^2 * 4(x - 1)
4(7x + 3)^2 / (x - 1)
(7x + 3) / 4(x - 1)^2

Answer 1

The expression that represents the verbal description "The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1" is (7x + 3)^2 / 4(x - 1) in Mathematics for High School students.

Step-by-step explanation:

The expression that represents the verbal description "The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1" is (7x + 3)^2 / 4(x - 1). To understand how this expression represents the verbal description, let's break it down step by step:

1. The square of the sum of 7 times x and 3 is represented by (7x + 3)^2.
2. 4 times the difference of x and 1 is represented by 4(x - 1).
3. Dividing the square of the sum by 4 times the difference gives us the final expression (7x + 3)^2 / 4(x - 1).