Before your test you earn 10 point extra credit to be added to your test grade. If your goal is to make from a 85 to 105 after t
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Answer:
There are 199 pairs of consecutive natural numbers whose product is less than 40000.
Step-by-step explanation:
We notice that such statement can be translated into this inequation:
Now we solve this inequation to the highest value of that satisfy the inequation:
The Quadratic Formula shows that roots are:
Only the first root is valid source to determine the highest possible value of , which is
. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.
For this case we have that the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following data:
Then, the equation is of the form:
We find "b" replacing the point:
Thus, the equation is:
Answer: