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Arrange the verbal descriptions of expressions to match their corresponding expressions correctly.

Verbal Description Expression
the cube of the difference of 5 times x and 7 divided by the sum of 7 times x and 1
7 times the difference of 5 times x and 7 and the sum of x and 1
the sum of 5 times the cube of x, 1, and 7 times x, divided by 5
the difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1

Options:
A) the cube of the difference of 5 times x and 7 divided by the sum of 7 times x and 1: 5[(x * 5) - 7] / (7x + 1)
B) 7 times the difference of 5 times x and 7 and the sum of x and 1: 7[(5x - 7) + (x + 1)]
C) the sum of 5 times the cube of x, 1, and 7 times x, divided by 5: (5 * x^3 + 1 + 7x) / 5
D) the difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1: 5x^3 - 7 / 7(x + 1)

User Pmkro
by
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1 Answer

5 votes

Final answer:

The correct arrangement is: A) the cube of the difference of 5 times x and 7 divided by the sum of 7 times x and 1: 5[(x * 5) - 7] / (7x + 1), B) 7 times the difference of 5 times x and 7 and the sum of x and 1: 7[(5x - 7) + (x + 1)], C) the sum of 5 times the cube of x, 1, and 7 times x, divided by 5: (5 * x^3 + 1 + 7x) / 5, D) the difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1: (5x^3 - 7) / (7(x + 1)).

Step-by-step explanation:

To match the given verbal descriptions with their corresponding expressions, we need to analyze each verbal description and its corresponding expression carefully. Let's go through each option one by one:

A) The verbal description 'the cube of the difference of 5 times x and 7 divided by the sum of 7 times x and 1' matches with the expression: 5[(x * 5) - 7] / (7x + 1).

B) The verbal description '7 times the difference of 5 times x and 7 and the sum of x and 1' matches with the expression: 7[(5x - 7) + (x + 1)].

C) The verbal description 'the sum of 5 times the cube of x, 1, and 7 times x, divided by 5' matches with the expression: (5 * x^3 + 1 + 7x) / 5.

D) The verbal description 'the difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1' matches with the expression: (5x^3 - 7) / (7(x + 1)).

Therefore, the correct arrangement is:

A) the cube of the difference of 5 times x and 7 divided by the sum of 7 times x and 1: 5[(x * 5) - 7] / (7x + 1),

B) 7 times the difference of 5 times x and 7 and the sum of x and 1: 7[(5x - 7) + (x + 1)],

C) the sum of 5 times the cube of x, 1, and 7 times x, divided by 5: (5 * x^3 + 1 + 7x) / 5,

D) the difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1: (5x^3 - 7) / (7(x + 1)).

User Michaeldel
by
8.6k points

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