which expression is equivalent to 2m(3/2m+1) +3 (5/3m-2) ? A .3m^2+5m-1 B. 3/4m^2 +23/9m-6 C. 3m^2+7m-6 D. 3/4m^2+5/9m-1 please explain with steps

"The product" immediately suggests multiplication; we're going to be multiplying two quantities together, "3" and "a number minus 7"

"A number" just describes an unknown value, so we'll pick the letter n to be that unknown in our expression. "A number minus 7" then could be written as n - 7.

We can now write the product of 3 and (n - 7) as the expression

3 × (n - 7)

Final answer:

The expression that represents 'the product of 3 and the quantity of a number minus 7' can be written in algebra as 3*(x - 7). Here, x is our variable and can be any number.

Explanation:

The student is asking for an expression that represents 'the product of 3 and the quantity of a number minus 7'. In terms of algebra, this can be expressed in the following way: assuming the 'number' is represented by a variable, like x, we can write it as 3*(x - 7).

This mathematical expression says that we first subtract 7 from our number, x, and then multiply the result by 3.

For example: if x is 10, we would first calculate 10 - 7, which is 3, and then multiply that result by 3, yielding a final product of 9.

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Answer:

-i

Step-by-step explanation:

i²³⁵ = i²³² × i³

= (i⁴)⁵⁸ × -i

= -i

it is d. d is the answer