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Alika [10]
3 years ago
5

Will is asked to simplify the expression below. 7x - 2(x + 3y) + 3y He states that the simplified expression is 5x + 9y because

using the distributive property yields 7x - 2x + 6y + 3y and then combining like terms yields 5x + 9y. 1. What is the error in Will's reasoning? 2. Write the correct simplified expression for 7x - 2(x + 3y) + 3y
Mathematics
1 answer:
galina1969 [7]3 years ago
4 0

Answer: See explanation

Step-by-step explanation:

7x - 2(x + 3y) + 3y

= 7x - 2x - 6y + 3y

= 5x - 3y

Will got 5x + 9y because he didn't multiply the values in the bracket by the minus sign outside the bracket. He multiplied the values by +2 rather than -2. This resulted in the wrong answer that he got.

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From the given information:

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Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

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