Solve this absolute value equation and show all work.

1 answer:

6 0

I was confused at first until I realized that you'd shared not one, not two, but three questions in one post. would you please post just one question at a time to avoid this.

I'll focus on your second question only: Solve <span>3 + |2x - 4| = 15.

Subtr. 3 from both sides. Result: |2x - 4| = 12

Divide all terms by 2, to reduce: |x - 2| = 6

Case 1: x-2 is already +, so we don't need | |:

x - 2 = 6 => x = 8 (first answer)

Case 2: x-2 is negative, so |2x-4| = -(2x-4) = 6

Then -2x + 8 = 6. Subtr. 8 from both sides: -2x = -2

Div both sides by -2: x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately. Thanks and good luck!

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6 0

3 years ago

If the temperature after 4.4 degree drop was -2.5 degrees Celsius what was the temperature at noon

Lostsunrise [7]

Answer:

1.9°C

Step-by-step explanation:

Let X be the temperature at noon and -2.5°C be the current temperature after the drop.

-We calculate temperature at noon as:

$\bigtriangleup =t_o-t_n\\4.4=X--2.5\\\\X=4.4-2.5\\\\=1.5\textdegree C$