Вопрос:

Evaluate $$|8x+6|+2∙|6-8x|$$ for $$x=4$$.

Смотреть решения всех заданий с листа

Ответ:

Let's break down this problem step-by-step!

  1. Substitute the value of x: We are given that $$x=4$$. We need to substitute this value into the expression:
    \[ |8(4)+6|+2∙|6-8(4)| \]
  2. Calculate the values inside the absolute value:
    First absolute value: $$8(4)+6 = 32+6 = 38$$.
    Second absolute value: $$6-8(4) = 6-32 = -26$$.
    So the expression becomes:
    \[ |38|+2∙|-26| \]
  3. Evaluate the absolute values: The absolute value of a number is its distance from zero, so it's always positive.
    $$|38| = 38$$
    $$|-26| = 26$$
    The expression is now:
    \[ 38 + 2 ∙ 26 \]
  4. Perform the multiplication:
    $$2 ∙ 26 = 52$$.
    The expression is now:
    \[ 38 + 52 \]
  5. Perform the addition:
    $$38 + 52 = 90$$.

Ответ: 90

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