Answer:
Step-by-step explanation:
we know that
To find out the percent of robots which are defective, divided the number of defective robots by the total number of robots and multiply the result by 100
Let
x ----> the number of defective robots
y ----> the total number of robots
p ---> percentage of robots which are defective
so
we have
substitute
Answer:
all of the functions have a unique range ⇒ answer 1
Step-by-step explanation:
* Lets revise how to find the domain and the range of the function
- The domain is all values of x that make the function defined
- The range is the set of all output values of a function
∵ f(x) = 3x²
- It is a quadratic function
- There is no values of x make this function undefined
∴ The domain of f(x) is all real numbers
- To find the range calculate the vertex of the function
∵ f(x) = ax² + bx + c
∵ f(x) = 3x²
∴ a = 3 , b = 0 , c = 0
∵ h = -b/2a
∴ h = 0/2(3) = 0/6 = 0
∵ k = f(h)
∴ k = f(0) = 3(0)² = 0
∴ The vertex of the cure is (0 , 0)
∵ k is the minimum value of the parabola
∴ The range of f(x) is all real numbers greater than or equal
to zero ⇒ (1)
∵ g(x) = 1/3x
- It is a rational function
- to find the values of x which make the function undefined equate
the denominator by 0
∵ 3x = 0 ⇒ divide both sides by 0
∴ x = 0
∴ The domain of g(x) is all real numbers except zero
∵ We can not put x = 0, then there is no value of g(x) at x = 0
∴ The range of the g(x) is all real number except zero ⇒ (2)
∵ h(x) = 3x
- It is a linear function
∵ There is no values of x make this function undefined
∴ The domain of h(x) is all real numbers
∴ The range of h(x) is all real numbers ⇒ (3)
* From (1) , (2) , (3) the answer is
all of the functions have a unique range
# Look to the attached graph to more understand
The red graph is f(x)
The blue graph is g(x)
The green graph is h(x)
