Answer:

Step-by-step explanation:
The range of the function are all possible values of f(x).
From the diagram you can see that
- for all
the value of f(x) is always 4; - for
the value of f(x) decreases from 4.
This means that the range of the function f(x) is

Given the equation of the line :

To find the slope convert the given equation to the slope - intercept form
which is like:

where m is the slope
So, solve the given equation for y:
Answer:
Step-by-step explanation:
The Pythagorean theorem applies to right angled triangles only.
However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.
So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.
If the current son's age is x, the current age of the father is
.
In 20 years they will be, respectively,
and
years old, and we know that the father will be 3 times as old as his son:

The quadratic equation has solutions

So, the two solutions are

We clearly can't accept negative values as solution for a problem involving the age of a person, so the only feasible solution is x=8, and we deduce that the father's age is 8 squared, i.e. 64.
Answer:
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Step-by-step explanation: