Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:

To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:

i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.


Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression
will be equivalent to :

So, the expression is equivalent to <em>1</em>.
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
A standard piano has 88 keys on it
Answer:
The rational numbers are
and the irrational functions are
.
Step-by-step explanation:
A rational number can be expressed in the form of
, where p and q are integers and q is not equal to 0. For example
.
An irrational function can not be expressed in the form of
, where p and q are integers and q is not equal to 0. For example
.
If any number is multiplied by a irrational number then the resultant number is an irrational number.
By the above definition we can conclude that:
The number
is a rational number.

Therefore
is an irrational number.

Therefore 6.25 is a rational number.

Therefore 0.01045 is a rational number.

The number
is a rational number.

The number
is an irrational number.

Therefore
is an irrational number. The numbers with recursive bar are always rational numbers.