The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find
the original number.
1 answer:
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Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:
Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
An example of quadratic equation with this behavior is:
Which is sketched at the end of this answer.
A quadratic equation has the format:
It's roots are given by:
The number of roots depends on the discriminant , that is:
- If
, it has two different real roots.
- If
, it has one real root.
- If
, it has no real roots.
In this problem, it will have only positive y-values if: and
Thus, an example is:
Which is sketched below.
A similar problem is given at brainly.com/question/19776811
