High School

What is the value of [tex]x[/tex] in the equation [tex]3|x - 3.5| + 7.5 = 7.5[/tex]?

Answer :

An equation is formed when two equal expressions. The value of x in the given equation 3|x – 3.5| + 7.5 = 7.5 is 3.5.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A mode is an operator which produces absolute value. Therefore, any value inside of the mode irrespective of its negative or positive will always return a positive or absolute value.

The value of the x in the given inequality 3|x–3.5|+7.5 = 7.5 can be solved as shown below,

3|x – 3.5| + 7.5 = 7.5

3|x – 3.5| = 7.5 – 7.5

3|x – 3.5| = 0

|x – 3.5| = 0

Now, since the mode needs to be zero for the equation to be satisfied, thus, the value of x should be 3.5.

Hence, the value of x in the given equation 3|x – 3.5| + 7.5 = 7.5 is 3.5.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ6

hello :
3|x – 3.5| + 7.5 = 7.5
3|x – 3.5| = 0
|x – 3.5| = 0
x - 3.5 =0
x = 3.5