Which expression is equivalent to (–2)(a + 6)?

To simplify the expression 5(14-2)^2/2, we can follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right).

First, we simplify the expression inside the parentheses: 14 - 2 = 12.

Next, we simplify the exponent: 12^2 = 144.

Now, we can substitute these values back into the original expression: 5(144)/2.

Then, we perform the multiplication: 5 * 144 = 720.

Finally, we perform the division: 720/2 = 360.

Therefore, the simplified expression is 360.

To find the expression that is equivalent to (–2)(a + 6), we can start by simplifying the expression inside the parentheses: a + 6.

Now, we can distribute the -2 to each term inside the parentheses: -2a - 12.
Thus, (-2)(a + 6) is equivalent to -2a - 12.

To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.

The number -22 belongs to the following subsets of real numbers:

1. The set of integers: -22 is an integer because it is a whole number without a fractional or decimal part.
2. The set of rational numbers: -22 can be expressed as the ratio -22/1, where both the numerator and denominator are integers.
3. The set of real numbers: -22 is a real number because it can be located on the real number line.

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Question
What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"

An algebraic expression for the word phrase "6 times the difference of b and p" can be written as:

6(b - p)

5(14-2)^2/2

simplify

A square field has an area of 479 ft2. What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.

To find the approximate length of a side of the square field, we can take the square root of the area.

The square root of 479 is approximately 21.91.

Since we need to give the answer to the nearest foot, we round 21.91 to the nearest whole number, which is 22.

Therefore, the approximate length of a side of the field is 22 feet.

To find the equivalent expression of (–2)(a + 6), you can distribute the -2 to both terms inside the parentheses. Here's how:

(–2)(a + 6) = –2 * a + (–2) * 6

Multiplying -2 with "a" gives you -2a, and multiplying -2 with 6 gives you -12.

Therefore, the equivalent expression is -2a - 12.