Maths-
General
Easy
Question
What is the solution of 
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 value of x.
The correct answer is: Hence, we get two values of x satisfying the given equation, x = 1,2
Step by step solution:
The given equation is
Using the definition of absolute value,
We get two possibilities,
Simplifying, we get
Subtracting 6 from both sides, we have
Dividing throughout by -4, we get
Adding 6 both sides, we get
Dividing by 4 throughout, we get
x = 2
Hence, we get two values of x satisfying the given equation,
x = 1,2
Using the definition of absolute value,
We get two possibilities,
Simplifying, we get
Subtracting 6 from both sides, we have
Dividing throughout by -4, we get
Adding 6 both sides, we get
Dividing by 4 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 |x| as ‘modulus of x’ or ‘mod x’.
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"Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Which of the following are true ? Select all that apply ;
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A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).
"Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Which of the following are true ? Select all that apply ;
A. The cost of 4 tetras is the same as the cost of a rainbow fish.
B. One rainbow fish plus 5 tetras Cost $21.
C. An equation to find the cost r, in dollars of a rainbow fish is 8r + 2(r + 6) = 37
D. Reducing the number of rainbow fish by 1 would result in a total cost of $28.50
E. An equation to find the cost t, in dollars , of a tetra is 8t + 2t + 6 = 37
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Let's talk about the cost equation.
A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).
