Question
Solve absolute value equation :
Hint:
|x| is known as the absolute value of x. It is the non-negative value of x irrespective of its sign. The value of absolute value of x is given by
So, we will get two cases in the solution of the given equation. We apply the given definition and then simplify the two equations to get the v value of x.
The correct answer is: Hence, we get two values of x satisfying the given equation, x=14,-6
Step by step solution:
The given equation is
Using the definition of absolute value,
We get two possibilities,
For 
Simplifying, we get
Adding 8 both sides, we have
Dividing throughout by 2, we get
Simplifying, we get
Subtracting 8 both sides, we get
Dividing by -2 throughout, we get
Hence, we get two values of x satisfying the given equation,
Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. The symbol 
is pronounced as 'modulus'. We read 
as 'modulus of x ' or 'mod x '.
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Four friends use an online coupon to get discounts on concert tickets. They spent $312 for the four tickets. What was the price of one ticket without the discount ?
Four friends use an online coupon to get discounts on concert tickets. They spent $312 for the four tickets. What was the price of one ticket without the discount ?
City Tours rents bicycles for $10 an hour with a maximum daily fee of $100.Make a table that shows the cost of renting a bicycle for 1, 3, 11, and 20 hours. Is time a function of cost? Explain.
As this question concluded, time is not a function of cost because the standard cost depends on the time for which the bicycle is rented. So, this concludes that time is not a function of cost. Apart from that, we should know which costs are time-based (rather than sales-based) and generally contractual.
According to the requirements, a firm's total costs can be classified into various categories. Product and period costs, fixed and variable costs, direct and indirect costs, manufacturing costs, administrative and selling expenses, and so on.
A firm's fixed or period costs are usually a function of time because they are incurred every period regardless of sales volume.
The following are some examples of fixed costs that are also contractual:
1) Manufacturing facility and administrative building rent costs
2) Salary payments made to employees
3) The cost of an annual contract signed with a third party for equipment maintenance, etc.
4) Bill for electricity and utilities for the administration building.
City Tours rents bicycles for $10 an hour with a maximum daily fee of $100.Make a table that shows the cost of renting a bicycle for 1, 3, 11, and 20 hours. Is time a function of cost? Explain.
As this question concluded, time is not a function of cost because the standard cost depends on the time for which the bicycle is rented. So, this concludes that time is not a function of cost. Apart from that, we should know which costs are time-based (rather than sales-based) and generally contractual.
According to the requirements, a firm's total costs can be classified into various categories. Product and period costs, fixed and variable costs, direct and indirect costs, manufacturing costs, administrative and selling expenses, and so on.
A firm's fixed or period costs are usually a function of time because they are incurred every period regardless of sales volume.
The following are some examples of fixed costs that are also contractual:
1) Manufacturing facility and administrative building rent costs
2) Salary payments made to employees
3) The cost of an annual contract signed with a third party for equipment maintenance, etc.
4) Bill for electricity and utilities for the administration building.
